2012, Rev. ed., ISBN 9780123852182, 675

Zeta and q-Zeta Functions and Associated Series and Integrals is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions...

Mathematics | Functions, Zeta | Series

Mathematics | Functions, Zeta | Series

eBook

1992, 1, ISBN 0824784162, Volume 152., xi, 518

...). The five chapters are devoted to analytic continuation; conformal mappings, univalent functions, and nonconformal mappings; entire function; meromorphic fu

Functions of complex variables | Mathematical Analysis

Functions of complex variables | Mathematical Analysis

Book

2011, Cambridge studies in advanced mathematics, ISBN 9780521113670, Volume 128, xii, 239

"Graph theory meets number theory in this stimulating book. Ihara zeta functions of finite graphs are reciprocals of polynomials, sometimes in several variables...

Graph theory | Functions, Zeta

Graph theory | Functions, Zeta

Book

2016, Volume 679

General theory of linear operators | Other Dirichlet series and zeta functions | Completeness of eigenfunctions, eigenfunction expansions | Analytic functions | Functions of a complex variable | Partial differential equations | Spaces and algebras of analytic functions | Cyclic vectors, hypercyclic and chaotic operators | Bounded analytic functions | Spectral theory and eigenvalue problems | Operator theory | Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) | Special classes of linear operators | Bergman spaces, Fock spaces | Analytic spaces | Zeta and $L$-functions: analytic theory | Number theory

Conference Proceeding

2002, ISBN 158488259X, 382

Book

SpringerPlus, ISSN 2193-1801, 12/2013, Volume 2, Issue 1, pp. 1 - 14

... a systematic investigation of numerous interesting properties of some families of generating functions and their partial sums which are associated...

General Hurwitz-Lerch Zeta function | Lerch Zeta function and the Polylogarithmic (or de Jonquière’s) function | Hurwitz (or generalized) and Hurwitz-Lerch Zeta functions | Generating functions and Eulerian Gamma-function and Beta-function integral representations | Fox-Wright Ψ -function and the -function | Mittag-Leffler type functions | Gauss and Kummer hypergeometric functions | Mellin-Barnes type integral representations and Meromorphic continuation | Riemann | Science, general | Fox-Wright 9-function and the H-function | Lerch Zeta function and the Polylogarithmic (or de Jonquière's) function | Lerch Zeta function and the Polylogarithmic (or de Jonquiere's) function | SERIES | MULTIDISCIPLINARY SCIENCES | BERNOULLI | POLYNOMIALS | Fox-Wright Psi-function and the (H)over-bar-function | FEYNMAN-INTEGRALS | FORMULAS | EULER

General Hurwitz-Lerch Zeta function | Lerch Zeta function and the Polylogarithmic (or de Jonquière’s) function | Hurwitz (or generalized) and Hurwitz-Lerch Zeta functions | Generating functions and Eulerian Gamma-function and Beta-function integral representations | Fox-Wright Ψ -function and the -function | Mittag-Leffler type functions | Gauss and Kummer hypergeometric functions | Mellin-Barnes type integral representations and Meromorphic continuation | Riemann | Science, general | Fox-Wright 9-function and the H-function | Lerch Zeta function and the Polylogarithmic (or de Jonquière's) function | Lerch Zeta function and the Polylogarithmic (or de Jonquiere's) function | SERIES | MULTIDISCIPLINARY SCIENCES | BERNOULLI | POLYNOMIALS | Fox-Wright Psi-function and the (H)over-bar-function | FEYNMAN-INTEGRALS | FORMULAS | EULER

Journal Article

2016, ISBN 9783319282022, 552

...), held July 2014 in Hildesheim, Germany. Ranging from the theory of arithmetical functions to diophantine problems, to analytic aspects of zeta-functions, the various research and survey articles cover the broad interests of the well-known...

Mathematics | Number theory | Sequences (Mathematics) | History of Mathematical Sciences | Number Theory | Sequences, Series, Summability

Mathematics | Number theory | Sequences (Mathematics) | History of Mathematical Sciences | Number Theory | Sequences, Series, Summability

eBook

9.
Full Text
Jackson's integral of multiple Hurwitz–Lerch zeta functions and multiple gamma functions

Journal of mathematical analysis and applications, ISSN 0022-247X, 2018, Volume 468, Issue 1, pp. 227 - 239

...–Lerch zeta functions and Barnes and Vardi's multiple gamma functions. Our results generalize q-integral analogue of the Raabe type formulas for the Hurwitz zeta functions and log gamma functions in [9...

Raabe type formula | Multiple Hurwitz–Lerch zeta function | Jackson integral | Barnes gamma function | MATHEMATICS | Multiple Hurwitz-Lerch zeta function | MATHEMATICS, APPLIED

Raabe type formula | Multiple Hurwitz–Lerch zeta function | Jackson integral | Barnes gamma function | MATHEMATICS | Multiple Hurwitz-Lerch zeta function | MATHEMATICS, APPLIED

Journal Article

1985, ISBN 047180634X, xvi, 517

Book

2014, University lecture series, ISBN 1470418517, Volume 62, vii, 119

Book

Computers and Mathematics with Applications, ISSN 0898-1221, 2010, Volume 60, Issue 10, pp. 2779 - 2787

The goal of this paper is to unify and extend the generating functions of the generalized Bernoulli polynomials, the generalized Euler polynomials and the generalized Genocchi polynomials associated...

Riemann and Hurwitz (or generalized) zeta functions | Polylogarithm function | Lipschitz–Lerch zeta function | Euler numbers and Euler polynomials | Lerch zeta function | Bernoulli numbers and Bernoulli polynomials | Genocchi numbers and Genocchi polynomials | Recurrence relations | Hurwitz–Lerch zeta function | Mellin transformation | Dirichlet character | LipschitzLerch zeta function | HurwitzLerch zeta function | MATHEMATICS, APPLIED | Hurwitz-Lerch zeta function | NUMBERS | EXTENSION | Lipschitz-Lerch zeta function | ZETA | APOSTOL-BERNOULLI | FORMULAS | Genocchi numbers and Genocch polynomials | Construction | Mathematical models | Transformations | Mathematical analysis

Riemann and Hurwitz (or generalized) zeta functions | Polylogarithm function | Lipschitz–Lerch zeta function | Euler numbers and Euler polynomials | Lerch zeta function | Bernoulli numbers and Bernoulli polynomials | Genocchi numbers and Genocchi polynomials | Recurrence relations | Hurwitz–Lerch zeta function | Mellin transformation | Dirichlet character | LipschitzLerch zeta function | HurwitzLerch zeta function | MATHEMATICS, APPLIED | Hurwitz-Lerch zeta function | NUMBERS | EXTENSION | Lipschitz-Lerch zeta function | ZETA | APOSTOL-BERNOULLI | FORMULAS | Genocchi numbers and Genocch polynomials | Construction | Mathematical models | Transformations | Mathematical analysis

Journal Article

2011, IAS/Park City mathematics series, ISBN 9780821853207, Volume 18, xiv, 499

Book

2013, Cambridge tracts in mathematics, ISBN 9781107028838, Volume 196, xvii, 245

Hardy's Z-function, related to the Riemann zeta-function ζ(s), was originally utilised by G. H...

Number theory

Number theory

Book

Critical care (London, England), ISSN 1364-8535, 2014, Volume 18, Issue 4, pp. R163 - R163

Introduction: Impaired T cell function in sepsis is associated with poor outcome, but the mechanisms are unclear...

ACTIVE CYTOMEGALOVIRUS-INFECTION | CANCER-PATIENTS | RECEPTOR ZETA-CHAIN | IMMUNOSUPPRESSION | MONONUCLEAR-CELLS | PERIPHERAL-BLOOD | ORGAN FAILURE | EXPRESSION | SEVERE SEPSIS | HOST-RESISTANCE | CRITICAL CARE MEDICINE | Systemic Inflammatory Response Syndrome | Humans | Middle Aged | Arginase - metabolism | Neutrophils - immunology | Male | Shock, Septic - physiopathology | Chromatography, High Pressure Liquid | Flow Cytometry | RNA, Messenger - blood | Myeloid Cells - immunology | Arginine - blood | Shock, Septic - blood | Statistics, Nonparametric | Adult | Female | Organ Dysfunction Scores | T-Lymphocytes - immunology | Arginase - blood | Australia | APACHE | Arginine - metabolism | Cytokines - blood | Health aspects | Communicable diseases | High performance liquid chromatography | Research

ACTIVE CYTOMEGALOVIRUS-INFECTION | CANCER-PATIENTS | RECEPTOR ZETA-CHAIN | IMMUNOSUPPRESSION | MONONUCLEAR-CELLS | PERIPHERAL-BLOOD | ORGAN FAILURE | EXPRESSION | SEVERE SEPSIS | HOST-RESISTANCE | CRITICAL CARE MEDICINE | Systemic Inflammatory Response Syndrome | Humans | Middle Aged | Arginase - metabolism | Neutrophils - immunology | Male | Shock, Septic - physiopathology | Chromatography, High Pressure Liquid | Flow Cytometry | RNA, Messenger - blood | Myeloid Cells - immunology | Arginine - blood | Shock, Septic - blood | Statistics, Nonparametric | Adult | Female | Organ Dysfunction Scores | T-Lymphocytes - immunology | Arginase - blood | Australia | APACHE | Arginine - metabolism | Cytokines - blood | Health aspects | Communicable diseases | High performance liquid chromatography | Research

Journal Article

The journal of high energy physics, ISSN 1029-8479, 2017, Volume 2017, Issue 9, pp. 1 - 38

...Published for SISSA by Springer Received: June 24, 2017 Accepted: September 12, 2017 Published: September 28, 2017 T etrahedral modular graph functions Axel...

Supersymmetric Effective Theories | M-Theory | Superstrings and Heterotic Strings | Quantum Physics | Conformal Field Models in String Theory | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | EISENSTEIN SERIES | INVARIANTS | PURE SPINOR | AMPLITUDE | STRING THEORY | DIMENSIONS | ONE-LOOP | EXPANSION | 2-LOOP SUPERSTRINGS | MULTIPLE ZETA VALUES | PHYSICS, PARTICLES & FIELDS | Analysis | Nuclear physics | String theory | Operators (mathematics) | Eigenvalues | Amplitudes | Feynman diagrams | Modular structures

Supersymmetric Effective Theories | M-Theory | Superstrings and Heterotic Strings | Quantum Physics | Conformal Field Models in String Theory | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | EISENSTEIN SERIES | INVARIANTS | PURE SPINOR | AMPLITUDE | STRING THEORY | DIMENSIONS | ONE-LOOP | EXPANSION | 2-LOOP SUPERSTRINGS | MULTIPLE ZETA VALUES | PHYSICS, PARTICLES & FIELDS | Analysis | Nuclear physics | String theory | Operators (mathematics) | Eigenvalues | Amplitudes | Feynman diagrams | Modular structures

Journal Article

2014, Graduate studies in mathematics, ISBN 1470417065, Volume 160., xviii, 371 pages

Book

Journal of the American Mathematical Society, ISSN 0894-0347, 01/2017, Volume 30, Issue 1, pp. 205 - 224

.... In particular, this leads to an improved bound \vert\zeta (\frac {1}{2} + it)\vert \ll t^{13/84 + \varepsilon } for the zeta function on the critical line.

Riemann zeta function | Exponential sums | Decoupling | MATHEMATICS | exponential sums | decoupling

Riemann zeta function | Exponential sums | Decoupling | MATHEMATICS | exponential sums | decoupling

Journal Article

Communications in Number Theory and Physics, ISSN 1931-4523, 2017, Volume 11, Issue 1, pp. 165 - 218

In earlier work we studied features of non-holomorphic modular functions associated with Feynman graphs for a conformal scalar field theory on a two-dimensional torus with zero external momenta at all vertices...

INTEGRALS | MATHEMATICS | MATHEMATICS, APPLIED | TRANSCENDENTAL FUNCTIONS | PERIODS | SPACES | EXPANSION | VALUED MULTIPLE POLYLOGARITHMS | ZETA VALUES | AMPLITUDES | PHYSICS, MATHEMATICAL

INTEGRALS | MATHEMATICS | MATHEMATICS, APPLIED | TRANSCENDENTAL FUNCTIONS | PERIODS | SPACES | EXPANSION | VALUED MULTIPLE POLYLOGARITHMS | ZETA VALUES | AMPLITUDES | PHYSICS, MATHEMATICAL

Journal Article

No results were found for your search.

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