Journal of Inequalities and Applications, ISSN 1025-5834, 2012, Volume 2012, Issue 1, pp. 296 - 296

...) summability of its conjugate series of a Fourier series has been proved. Here the product of Euler (E, q...

Conjugate fourier series | Degree of approximation | Lebesgue integral | Lip(ξ (t), r)-class of function | MATHEMATICS | (N, p(n))(E, q) product summability | MATHEMATICS, APPLIED | degree of approximation | CLASS LIP(ALPHA | Lip(xi(t), r)-class of function | conjugate Fourier series

Conjugate fourier series | Degree of approximation | Lebesgue integral | Lip(ξ (t), r)-class of function | MATHEMATICS | (N, p(n))(E, q) product summability | MATHEMATICS, APPLIED | degree of approximation | CLASS LIP(ALPHA | Lip(xi(t), r)-class of function | conjugate Fourier series

Journal Article

The Ramanujan Journal, ISSN 1382-4090, 10/2017, Volume 44, Issue 1, pp. 133 - 153

In this sequel to our earlier works [3, 14, 15], we aim to present certain integral and series representations for special functions by using some different group theoretical methods as follows...

Generalized hypergeometric functions $_pF_q$$ p F q | 33B15 | 33C10 | Functions of a Complex Variable | Field Theory and Polynomials | Mathematics | Bessel functions | Whittaker function | 33C05 | Fourier Analysis | Special orthogonal group $$SO(s, t)$$ S O ( s , t ) | Poisson transformation | Number Theory | Combinatorics | Matrix elements of representation | 33C80 | Generalized hypergeometric functions | Special orthogonal group SO(s, t) | MATHEMATICS | Special orthogonal group SO(s,t) | Generalized hypergeometric functions F-p(q) | Algebra

Generalized hypergeometric functions $_pF_q$$ p F q | 33B15 | 33C10 | Functions of a Complex Variable | Field Theory and Polynomials | Mathematics | Bessel functions | Whittaker function | 33C05 | Fourier Analysis | Special orthogonal group $$SO(s, t)$$ S O ( s , t ) | Poisson transformation | Number Theory | Combinatorics | Matrix elements of representation | 33C80 | Generalized hypergeometric functions | Special orthogonal group SO(s, t) | MATHEMATICS | Special orthogonal group SO(s,t) | Generalized hypergeometric functions F-p(q) | Algebra

Journal Article

Journal of Number Theory, ISSN 0022-314X, 05/2016, Volume 162, pp. 68 - 85

...) to a B-representation for irreducible modulo π principal series of the group GLn(F) for any finite field extension F|Qp.

Smooth modulo p representations | p-Adic Langlands programme | Schneider–Vigneras functor | Principal series | P-Adic Langlands programme | Schneider-Vigneras functor | MATHEMATICS | GL(Q(P)) | REPRESENTATIONS | Algebra

Smooth modulo p representations | p-Adic Langlands programme | Schneider–Vigneras functor | Principal series | P-Adic Langlands programme | Schneider-Vigneras functor | MATHEMATICS | GL(Q(P)) | REPRESENTATIONS | Algebra

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 6

.... In this paper, we propose to use a more general matrix method to obtain necessary and sufficient conditions to sum the conjugate derived Fourier series.

42A24 | F B $F_{\mathfrak{B}}$ -convergence | 40G05 | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Fourier series | conjugate derived Fourier series | ( E , q ) $(E,q)$ -summability | ( E , q ) ( N ¯ , p n ) $(E,q)(\bar{N},p_{n})$ -summability | conjugate Fourier series | convergence | (E, q) -summability | summability | E, q) (N¯ , p | MATHEMATICS | (E,q)((N)over-bar,p(n))-summability | MATHEMATICS, APPLIED | (E,q)-summability | F-B-convergence | documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$F_{\mathfrak{B}}$\end{document}FB-convergence | Research | documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(E,q)$\end{document}(E,q)-summability | documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(E,q)(\bar{N},p_{n})$\end{document}(E,q)(N¯,pn)-summability

42A24 | F B $F_{\mathfrak{B}}$ -convergence | 40G05 | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Fourier series | conjugate derived Fourier series | ( E , q ) $(E,q)$ -summability | ( E , q ) ( N ¯ , p n ) $(E,q)(\bar{N},p_{n})$ -summability | conjugate Fourier series | convergence | (E, q) -summability | summability | E, q) (N¯ , p | MATHEMATICS | (E,q)((N)over-bar,p(n))-summability | MATHEMATICS, APPLIED | (E,q)-summability | F-B-convergence | documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$F_{\mathfrak{B}}$\end{document}FB-convergence | Research | documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(E,q)$\end{document}(E,q)-summability | documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(E,q)(\bar{N},p_{n})$\end{document}(E,q)(N¯,pn)-summability

Journal Article

Representation Theory of the American Mathematical Society, ISSN 1088-4165, 08/2016, Volume 20, Issue 10, pp. 249 - 262

We study the continuous principal series representations of split connected reductive p-adic groups over p-adic fields...

P-adic groups | P-adic representations | Principal series | MATHEMATICS | GL(Q(P)) | p-adic representations | principal series | p-adic groups

P-adic groups | P-adic representations | Principal series | MATHEMATICS | GL(Q(P)) | p-adic representations | principal series | p-adic groups

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 62, Issue 1, pp. 516 - 522

...], and by applying some Mathieu ( a , λ ) -series techniques. Finally, by appealing to each of these two integral representations, two sets of two-sided bounding inequalities...

Psi (or Digamma) function | Mathieu [formula omitted]-series techniques | Extended Hurwitz–Lerch Zeta function | Hypergeometric [formula omitted] function | Fox–Wright [formula omitted] function | Two-sided bounding inequalities | Fox-Wright | Mathieu (a,λ)-series techniques | function | Extended HurwitzLerch Zeta function | Hypergeometric | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SERIES | LAMBDA)-SERIES | FAMILIES | MATHIEU (A | Extended Hurwitz-Lerch Zeta function | Fox-Wright (p)Psi(q) function | Mathieu (a, lambda)-series techniques | Hypergeometric F-p(q) function | Kernels | Mathematical models | Representations | Integrals | Mathematical analysis | Inequalities

Psi (or Digamma) function | Mathieu [formula omitted]-series techniques | Extended Hurwitz–Lerch Zeta function | Hypergeometric [formula omitted] function | Fox–Wright [formula omitted] function | Two-sided bounding inequalities | Fox-Wright | Mathieu (a,λ)-series techniques | function | Extended HurwitzLerch Zeta function | Hypergeometric | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SERIES | LAMBDA)-SERIES | FAMILIES | MATHIEU (A | Extended Hurwitz-Lerch Zeta function | Fox-Wright (p)Psi(q) function | Mathieu (a, lambda)-series techniques | Hypergeometric F-p(q) function | Kernels | Mathematical models | Representations | Integrals | Mathematical analysis | Inequalities

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2007, Volume 335, Issue 1, pp. 268 - 279

.... The matrix elements of these representations are computed in terms of the generalized p , q -hypergeometric series...

Quantum algebra | [formula omitted]-Hypergeometric series | p, q-Hypergeometric series | MATHEMATICS | p, q-hypergeometric series | MATHEMATICS, APPLIED | quantum algebra

Quantum algebra | [formula omitted]-Hypergeometric series | p, q-Hypergeometric series | MATHEMATICS | p, q-hypergeometric series | MATHEMATICS, APPLIED | quantum algebra

Journal Article

Mathematical and Computer Modelling, ISSN 0895-7177, 2011, Volume 54, Issue 9, pp. 2220 - 2234

..., various branches of number theory, elementary particle physics and theoretical physics. Here we aim at presenting further interesting identities about certain finite or infinite series involving harmonic numbers and generalized harmonic numbers...

Stirling numbers of the first kind | Generalized hypergeometric function [formula omitted] | Harmonic numbers | Polygamma functions | Generalized harmonic numbers | Riemann Zeta function | Psi function | Hurwitz Zeta function | Summation formulas for [formula omitted] | Riemann zeta function | Summation formulas for pfq | Generalized hypergeometric function pfq | Hurwitz zeta function | INFINITE SERIES | MATHEMATICS, APPLIED | IDENTITIES | HYPERGEOMETRIC-SERIES | GENERATING-FUNCTIONS | RIEMANN ZETA | Generalized hypergeometric function F-p(q) | SUMS | INTEGRALS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | ZETA-FUNCTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SERIES REPRESENTATIONS | Summation formulas for F-p(q) | Statistics | Analysis | Algorithms

Stirling numbers of the first kind | Generalized hypergeometric function [formula omitted] | Harmonic numbers | Polygamma functions | Generalized harmonic numbers | Riemann Zeta function | Psi function | Hurwitz Zeta function | Summation formulas for [formula omitted] | Riemann zeta function | Summation formulas for pfq | Generalized hypergeometric function pfq | Hurwitz zeta function | INFINITE SERIES | MATHEMATICS, APPLIED | IDENTITIES | HYPERGEOMETRIC-SERIES | GENERATING-FUNCTIONS | RIEMANN ZETA | Generalized hypergeometric function F-p(q) | SUMS | INTEGRALS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | ZETA-FUNCTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SERIES REPRESENTATIONS | Summation formulas for F-p(q) | Statistics | Analysis | Algorithms

Journal Article

Journal of Medicinal Chemistry, ISSN 0022-2623, 07/2011, Volume 54, Issue 13, pp. 4806 - 4814

.... As the C-terminal heptapeptide (26RFa(20–26)) mimics the action of the native peptide on food intake and gonadotropin secretion in rodents, we have synthesized a series of analogues of 26RFa(20–26...

CHEMISTRY, MEDICINAL | HORMONE | RAT | AMINO-ACIDS | HYPOTHALAMIC NEUROPEPTIDE | OREXIGENIC ACTIVITY | RECEPTOR | LIGAND | SUBSTANCE-P | IDENTIFICATION | UROTENSIN-II | Amino Acid Sequence | Cricetinae | Cricetulus | Receptors, G-Protein-Coupled - metabolism | Calcium - metabolism | Stereoisomerism | Structure-Activity Relationship | Receptors, G-Protein-Coupled - agonists | Animals | Transfection | Neuropeptides - pharmacology | Receptors, G-Protein-Coupled - antagonists & inhibitors | Ligands | GTP-Binding Protein beta Subunits - metabolism | Neuropeptides - chemical synthesis | CHO Cells | Neuropeptides - chemistry | Calcium | Neurons and Cognition | Receptors, G-Protein-Coupled | Neurobiology | Neuropeptides | Pharmacology | Cellular Biology | Chemical Sciences | Medicinal Chemistry | Life Sciences | GTP-Binding Protein beta Subunits | Pharmaceutical sciences | Cell Behavior

CHEMISTRY, MEDICINAL | HORMONE | RAT | AMINO-ACIDS | HYPOTHALAMIC NEUROPEPTIDE | OREXIGENIC ACTIVITY | RECEPTOR | LIGAND | SUBSTANCE-P | IDENTIFICATION | UROTENSIN-II | Amino Acid Sequence | Cricetinae | Cricetulus | Receptors, G-Protein-Coupled - metabolism | Calcium - metabolism | Stereoisomerism | Structure-Activity Relationship | Receptors, G-Protein-Coupled - agonists | Animals | Transfection | Neuropeptides - pharmacology | Receptors, G-Protein-Coupled - antagonists & inhibitors | Ligands | GTP-Binding Protein beta Subunits - metabolism | Neuropeptides - chemical synthesis | CHO Cells | Neuropeptides - chemistry | Calcium | Neurons and Cognition | Receptors, G-Protein-Coupled | Neurobiology | Neuropeptides | Pharmacology | Cellular Biology | Chemical Sciences | Medicinal Chemistry | Life Sciences | GTP-Binding Protein beta Subunits | Pharmaceutical sciences | Cell Behavior

Journal Article

11.
Full Text
Certain summation formulas involving harmonic numbers and generalized harmonic numbers

Applied Mathematics and Computation, ISSN 0096-3003, 2011, Volume 218, Issue 3, pp. 734 - 740

... or infinite series involving harmonic numbers and generalized harmonic numbers by applying an algorithmic method...

Stirling numbers of the first kind | Harmonic numbers | Summation formulas for pFq | Polygamma functions | Generalized harmonic numbers | Psi-function | Riemann Zeta function | Generalized hypergeometric function pFq | Hurwitz Zeta function | Summation formulas for | Generalized hypergeometric function | GAMMA | MATHEMATICS, APPLIED | IDENTITIES | HYPERGEOMETRIC-SERIES | GENERATING-FUNCTIONS | Generalized hypergeometric function F-p(q) | SUMS | INTEGRALS | Riemann Zeta function, Hurwitz Zeta function | ZETA-FUNCTION | SERIES REPRESENTATIONS | Summation formulas for F-p(q) | EULER | Statistics | Analysis | Algorithms | Hypergeometric functions | Harmonics | Mathematical analysis | Infinite series | Elementary particles | Mathematical models | Number theory

Stirling numbers of the first kind | Harmonic numbers | Summation formulas for pFq | Polygamma functions | Generalized harmonic numbers | Psi-function | Riemann Zeta function | Generalized hypergeometric function pFq | Hurwitz Zeta function | Summation formulas for | Generalized hypergeometric function | GAMMA | MATHEMATICS, APPLIED | IDENTITIES | HYPERGEOMETRIC-SERIES | GENERATING-FUNCTIONS | Generalized hypergeometric function F-p(q) | SUMS | INTEGRALS | Riemann Zeta function, Hurwitz Zeta function | ZETA-FUNCTION | SERIES REPRESENTATIONS | Summation formulas for F-p(q) | EULER | Statistics | Analysis | Algorithms | Hypergeometric functions | Harmonics | Mathematical analysis | Infinite series | Elementary particles | Mathematical models | Number theory

Journal Article

International Transactions on Electrical Energy Systems, ISSN 2050-7038, 03/2019, Volume 29, Issue 3, pp. e2738 - n/a

Summary Series compensation improves the power transfer capability and the stability of a transmission system...

P‐Q trajectory | fault classification | operating point | series compensation | fault detection | instantaneous power | locus | P-Q trajectory | PROTECTION | ALGORITHM | WAVELET TRANSFORM | ENGINEERING, ELECTRICAL & ELECTRONIC | Electric power systems | Analysis | Reactive power | Relaying | Transmission lines | Fault detection | Mathematical analysis | Classification | Fault location | Trajectories | Power transfer

P‐Q trajectory | fault classification | operating point | series compensation | fault detection | instantaneous power | locus | P-Q trajectory | PROTECTION | ALGORITHM | WAVELET TRANSFORM | ENGINEERING, ELECTRICAL & ELECTRONIC | Electric power systems | Analysis | Reactive power | Relaying | Transmission lines | Fault detection | Mathematical analysis | Classification | Fault location | Trajectories | Power transfer

Journal Article

Statistics and Probability Letters, ISSN 0167-7152, 11/2016, Volume 118, pp. 1 - 7

We establish the strong consistency and asymptotic normality of the conditional maximum likelihood estimator (CMLE) for INGARCH(p,q) models. Moreover, we...

INGARCH[formula omitted] process | Information matrix | Count time series | Estimation | INGARCH(p,q) process | TIME-SERIES | STATISTICS & PROBABILITY | INGARCH(p, q) process | Models | Business schools | Algorithms | Analysis

INGARCH[formula omitted] process | Information matrix | Count time series | Estimation | INGARCH(p,q) process | TIME-SERIES | STATISTICS & PROBABILITY | INGARCH(p, q) process | Models | Business schools | Algorithms | Analysis

Journal Article

The Ramanujan Journal, ISSN 1382-4090, 2/2013, Volume 30, Issue 2, pp. 173 - 186

Kurokawa and Wakayama (Ramanujan J. 10:23–41, 2005) studied a family of elliptic functions defined by certain q-series...

q -series | Functions of a Complex Variable | Field Theory and Polynomials | Mathematics | Lambert series | 33E05 | Fourier Analysis | Eisenstein series | 11M36 | Weierstrass ℘-function | Number Theory | Elliptic functions | Combinatorics | q-series | MATHEMATICS | Weierstrass P-function | Differential equations | Resveratrol | Universities and colleges

q -series | Functions of a Complex Variable | Field Theory and Polynomials | Mathematics | Lambert series | 33E05 | Fourier Analysis | Eisenstein series | 11M36 | Weierstrass ℘-function | Number Theory | Elliptic functions | Combinatorics | q-series | MATHEMATICS | Weierstrass P-function | Differential equations | Resveratrol | Universities and colleges

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2003, Volume 160, Issue 1, pp. 283 - 296

Using multiple q-integrals and a determinant evaluation, we establish a nonterminating 8 φ 7 summation for the root system C r . We also give some important...

Cr series | Nonterminating 8φ7 summation | U( n) series | Ar series | Sp( r) series | Nonterminating 3φ2 summation | q-series | Multiple q-integrals | S p(r) series | U(n) series | series | Q-series | Nonterminating | summation

Cr series | Nonterminating 8φ7 summation | U( n) series | Ar series | Sp( r) series | Nonterminating 3φ2 summation | q-series | Multiple q-integrals | S p(r) series | U(n) series | series | Q-series | Nonterminating | summation

Journal Article

Statistics and Probability Letters, ISSN 0167-7152, 04/2017, Volume 123, pp. 193 - 201

This paper investigates the statistical inference for a class of observation-driven time series models of count data based on the conditional maximum likelihood estimator (CMLE...

Time series of counts | Observation-driven models | INGARCH([formula omitted]) models | One-parameter exponential family | INGARCH(p,q) models | STATISTICS & PROBABILITY | INFERENCE | INGARCH(p, q) models

Time series of counts | Observation-driven models | INGARCH([formula omitted]) models | One-parameter exponential family | INGARCH(p,q) models | STATISTICS & PROBABILITY | INFERENCE | INGARCH(p, q) models

Journal Article

Acta Arithmetica, ISSN 0065-1036, 2015, Volume 171, Issue 4, pp. 309 - 326

Basic hypergeometric series | Q-binomial theorem | Congruences | P-adic integer | Q-Chu-Vandermonde formula | Supercongruences | q-Chu-Vandermonde formula | LEGENDRE POLYNOMIALS | MATHEMATICS | PRODUCTS | supercongruences | congruences | basic hypergeometric series | q-binomial theorem | p-adic integer | SUMS

Journal Article

IECON 2017 - 43rd Annual Conference of the IEEE Industrial Electronics Society, 10/2017, Volume 2017-, pp. 4494 - 4499

...) modules, each rated at 200 kVdc, in series to form a pole of UHVDC rated at 800 kVdc. Due to the series connection layouts, the individual DC bus voltage inequality exists when power reversal occurs...

Reactive power | Voltage measurement | Equalizers | Series connected VSC modules | Decoupled P-Q control | Control systems | DC voltage equalization | Power conversion | Voltage control | UHVDC | VSC-HVDC

Reactive power | Voltage measurement | Equalizers | Series connected VSC modules | Decoupled P-Q control | Control systems | DC voltage equalization | Power conversion | Voltage control | UHVDC | VSC-HVDC

Conference Proceeding

2014 16th International Power Electronics and Motion Control Conference and Exposition, 09/2014, pp. 1047 - 1052

Practical and simulation studies of a hybrid system of series active power filter and shunt passive filter is presented in this two-part paper...

Insulated gate bipolar transistors | p-q theory algorithm | Passive filters | Capacitors | series active power filter | dimensioning and designing of the active filter | Pulse width modulation | Active filters | carrier based PWM open control loop | Inverters | Voltage control | shunt passive filters | Carrier based PWM open control loop | Series active power filter | Dimensioning and designing of the active filter | P-q theory algorithm | Shunt passive filters

Insulated gate bipolar transistors | p-q theory algorithm | Passive filters | Capacitors | series active power filter | dimensioning and designing of the active filter | Pulse width modulation | Active filters | carrier based PWM open control loop | Inverters | Voltage control | shunt passive filters | Carrier based PWM open control loop | Series active power filter | Dimensioning and designing of the active filter | P-q theory algorithm | Shunt passive filters

Conference Proceeding

Journal of Combinatorial Theory, Series A, ISSN 0097-3165, 02/2019, Volume 162, pp. 167 - 221

The hook length formula for d-complete posets states that the P-partition generating function for them is given by a product in terms of hook lengths. We give...

d-complete poset | Hook length formula | P-partition | q-integral | MATHEMATICS | HYPERGEOMETRIC-SERIES

d-complete poset | Hook length formula | P-partition | q-integral | MATHEMATICS | HYPERGEOMETRIC-SERIES

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.