1965, Interscience tracts in pure and applied mathematics, no. 18, 114

Book

Fuzzy Sets and Systems, ISSN 0165-0114, 01/2019, Volume 355, pp. 67 - 82

In this paper a transformation of the pseudo-integral into another pseudo-integral is considered. Using the transformed pseudo-integral, monotone convergence...

Monotone convergence | Semiring | Pseudo-multiplication | Pseudo-addition | Pseudo-integral | Dominated convergence | INTERVAL | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS

Monotone convergence | Semiring | Pseudo-multiplication | Pseudo-addition | Pseudo-integral | Dominated convergence | INTERVAL | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 11/2019, Volume 147, Issue 11, pp. 4835 - 4845

In the study of free arrangements, the most useful result to construct/check free arrangements is the addition-deletion theorem in [J. Fac. Sci. Univ. Tokyo 27...

MATHEMATICS | MATHEMATICS, APPLIED | Catalan arrangements | addition-deletion and restriction theorems | Hyperplane arrangements | free arrangements

MATHEMATICS | MATHEMATICS, APPLIED | Catalan arrangements | addition-deletion and restriction theorems | Hyperplane arrangements | free arrangements

Journal Article

Proceedings of the Steklov Institute of Mathematics, ISSN 0081-5438, 5/2019, Volume 305, Issue 1, pp. 22 - 32

We present formulas for the components of the Buchstaber formal group law and its exponent over ℚ[p 1, p 2, p 3, p 4]. This leads to an addition theorem for...

Mathematics, general | Mathematics | Thyroid hormones

Mathematics, general | Mathematics | Thyroid hormones

Journal Article

Advanced Optical Materials, ISSN 2195-1071, 03/2018, Volume 6, Issue 5, pp. 1701236 - n/a

Coding representation of metamaterials builds up a bridge between the physical world and the digital world, making it possible to manipulate electromagnetic...

multifunctional metamaterials | addition theorem | coding metamaterials | complex coding | INVISIBILITY CLOAK | ACOUSTIC METASURFACE | MATERIALS SCIENCE, MULTIDISCIPLINARY | TERAHERTZ FREQUENCIES | LIGHT | BROAD-BAND | GROUND-PLANE CLOAK | METASURFACE HOLOGRAMS | WAVES | REDUCTION | OPTICS | REFRACTION | Mutual coupling | Theorems | Sequences | Wave propagation | Computer simulation | Mathematical analysis | Coding | Addition theorem | Metamaterials | Complex variables | Analytic geometry

multifunctional metamaterials | addition theorem | coding metamaterials | complex coding | INVISIBILITY CLOAK | ACOUSTIC METASURFACE | MATERIALS SCIENCE, MULTIDISCIPLINARY | TERAHERTZ FREQUENCIES | LIGHT | BROAD-BAND | GROUND-PLANE CLOAK | METASURFACE HOLOGRAMS | WAVES | REDUCTION | OPTICS | REFRACTION | Mutual coupling | Theorems | Sequences | Wave propagation | Computer simulation | Mathematical analysis | Coding | Addition theorem | Metamaterials | Complex variables | Analytic geometry

Journal Article

Statistics and Probability Letters, ISSN 0167-7152, 11/2016, Volume 118, pp. 156 - 162

Additive deformations of statistical systems arise in various areas of physics. Classical central limit theory is then no longer applicable, even when standard...

Tsallis entropy | Probability on Lie groups | Kaniadakis addition | STATISTICS & PROBABILITY

Tsallis entropy | Probability on Lie groups | Kaniadakis addition | STATISTICS & PROBABILITY

Journal Article

IEEE Microwave and Wireless Components Letters, ISSN 1531-1309, 06/2018, Volume 28, Issue 6, pp. 485 - 487

This letter presents a multilayer formulation for substrate integrated waveguide circuits, based on the analytical connection of cylindrical modes of sections...

GSM | substrate integrated waveguide (SIW) circuits | Transmission line matrix methods | cylindrical modes | fast frequency sweep | Scattering | Nonhomogeneous media | Microwave circuits | generalized scattering matrix (GSM) | finite element method (FEM) | Finite element analysis | Addition theorems | EFFICIENT ANALYSIS | GUIDE | HYBRID | ENGINEERING, ELECTRICAL & ELECTRONIC

GSM | substrate integrated waveguide (SIW) circuits | Transmission line matrix methods | cylindrical modes | fast frequency sweep | Scattering | Nonhomogeneous media | Microwave circuits | generalized scattering matrix (GSM) | finite element method (FEM) | Finite element analysis | Addition theorems | EFFICIENT ANALYSIS | GUIDE | HYBRID | ENGINEERING, ELECTRICAL & ELECTRONIC

Journal Article

Combinatorica, ISSN 0209-9683, 6/2014, Volume 34, Issue 3, pp. 331 - 358

Given a division ring K containing the field k in its center and two finite subsets A and B of K*, we give some analogues of Plünnecke and Kneser Theorems for...

11P70 | Mathematics, general | 05E15 | 12E15 | Mathematics | Combinatorics | MATHEMATICS | ADDITION THEOREM

11P70 | Mathematics, general | 05E15 | 12E15 | Mathematics | Combinatorics | MATHEMATICS | ADDITION THEOREM

Journal Article

Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 10/2014, Volume 37, Issue 15, pp. 2198 - 2210

Recently, Srivastava and Pintér proved addition theorems for the generalized Bernoulli and Euler polynomials. Luo and Srivastava obtained the anologous results...

2D‐Appell Polynomials | Apostol–Euler polynomials | Apostol–Genocchi polynomials | Appell Polynomials | Stirling numbers of the second type | Apostol–Bernoulli polynomials | 2D-Appell polynomials | Apostol-Euler polynomials | Apostol-Genocchi polynomials | Appell polynomials | Apostol-Bernoulli polynomials | 2D-Appell Polynomials | MATHEMATICS, APPLIED | EULER | Functions (mathematics) | Hypergeometric functions | Theorems | Mathematical analysis | Addition theorem | Polynomials | Representations | Combinatorial analysis

2D‐Appell Polynomials | Apostol–Euler polynomials | Apostol–Genocchi polynomials | Appell Polynomials | Stirling numbers of the second type | Apostol–Bernoulli polynomials | 2D-Appell polynomials | Apostol-Euler polynomials | Apostol-Genocchi polynomials | Appell polynomials | Apostol-Bernoulli polynomials | 2D-Appell Polynomials | MATHEMATICS, APPLIED | EULER | Functions (mathematics) | Hypergeometric functions | Theorems | Mathematical analysis | Addition theorem | Polynomials | Representations | Combinatorial analysis

Journal Article

IEEE Transactions on Antennas and Propagation, ISSN 0018-926X, 12/2019, Volume 67, Issue 12, pp. 7379 - 7386

This paper introduces a fast full-wave methodology for the analysis of antenna arrays placed on the top plate of substrate integrated waveguides (SIWs). The...

generalized scattering matrix (GSM) | cylindrical modes | spherical modes | Addition theorems | substrate integrated waveguide (SIW) | Antennas | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC

generalized scattering matrix (GSM) | cylindrical modes | spherical modes | Addition theorems | substrate integrated waveguide (SIW) | Antennas | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC

Journal Article

Combinatorica, ISSN 0209-9683, 8/2018, Volume 38, Issue 4, pp. 759 - 777

A Theorem of Hou, Leung and Xiang generalised Kneser’s addition Theorem to field extensions. This theorem was known to be valid only in separable extensions,...

11P70 | Mathematics, general | Mathematics | Combinatorics | 11T99 | 12F99 | Teoria de cossos i polinomis | 11P Additive number theory; partitions | Classificació AMS | Teoria de camps (física) | Partitions (Mathematics) | Particions (Matemàtica) | Teoria de nombres | linear versions | Field theory (Physics) | Additive combinatorics | Àlgebra | Matemàtiques i estadística | 11 Number theory | 12 Field theory and polynomials | Àrees temàtiques de la UPC | 12F Field extensions | Rings and Algebras

11P70 | Mathematics, general | Mathematics | Combinatorics | 11T99 | 12F99 | Teoria de cossos i polinomis | 11P Additive number theory; partitions | Classificació AMS | Teoria de camps (física) | Partitions (Mathematics) | Particions (Matemàtica) | Teoria de nombres | linear versions | Field theory (Physics) | Additive combinatorics | Àlgebra | Matemàtiques i estadística | 11 Number theory | 12 Field theory and polynomials | Àrees temàtiques de la UPC | 12F Field extensions | Rings and Algebras

Journal Article

Numerical Algorithms, ISSN 1017-1398, 5/2016, Volume 72, Issue 1, pp. 91 - 106

Graf’s and Neumann’s addition theorems for Bessel functions have been widely used in acoustic and electromagnetic scattering problems, especially the fast...

Algorithms | Algebra | Numerical Analysis | Computer Science | Numeric Computing | Graf’s addition theorem | Neumann’s addition theorem | Convergence rate | Theory of Computation | Bessel functions | Truncation error

Algorithms | Algebra | Numerical Analysis | Computer Science | Numeric Computing | Graf’s addition theorem | Neumann’s addition theorem | Convergence rate | Theory of Computation | Bessel functions | Truncation error

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 1/2015, Volume 81, Issue 1, pp. 53 - 95

For a bounded non-negative self-adjoint operator acting in a complex, infinite-dimensional, separable Hilbert space $${\mathcal{H}}$$ H and possessing a dense...

parallel addition | Operator range | shorted operator | Mathematics | 47A20 | 47A64 | von Neumann Theorem | Kreĭn extension | 47A07 | 47B25 | Van Daele–Schmüdgen theorem | 47A05 | Analysis | lifting | Friedrichs extension | Van Daele–Schm¨udgen theorem | Kre˘in extension | QUASI-SECTORIAL CONTRACTIONS | Krein extension | RESTRICTIONS | MATHEMATICS | PRODUCT FORMULA | SYMMETRIC-OPERATORS | Van Daele-Schmudgen theorem | MATRICES | DOMAINS | RANGE | Functional Analysis

parallel addition | Operator range | shorted operator | Mathematics | 47A20 | 47A64 | von Neumann Theorem | Kreĭn extension | 47A07 | 47B25 | Van Daele–Schmüdgen theorem | 47A05 | Analysis | lifting | Friedrichs extension | Van Daele–Schm¨udgen theorem | Kre˘in extension | QUASI-SECTORIAL CONTRACTIONS | Krein extension | RESTRICTIONS | MATHEMATICS | PRODUCT FORMULA | SYMMETRIC-OPERATORS | Van Daele-Schmudgen theorem | MATRICES | DOMAINS | RANGE | Functional Analysis

Journal Article

IEEE Transactions on Antennas and Propagation, ISSN 0018-926X, 05/2019, Volume 67, Issue 5, pp. 3256 - 3267

Electromagnetic scattering from irregular array of arbitrarily oriented PEC scatterers is investigated using a novel domain decomposition method based on...

Surface impedance | Mutual coupling | Surface waves | Electromagnetic scattering | Addition theorem | irregular array | array scattering | Computational efficiency | equivalence principle | Antenna arrays | DOMAIN DECOMPOSITION SCHEME | BODIES | ELECTROMAGNETIC SCATTERING | TELECOMMUNICATIONS | COMPLEX STRUCTURES | ENGINEERING, ELECTRICAL & ELECTRONIC | Spherical waves | Basis functions | Spherical harmonics | Scattering | Coordinates | Domain decomposition methods | Axes (reference lines) | Rotation | Equivalence principle | Algorithms | Equivalence | Mathematical analysis | System effectiveness

Surface impedance | Mutual coupling | Surface waves | Electromagnetic scattering | Addition theorem | irregular array | array scattering | Computational efficiency | equivalence principle | Antenna arrays | DOMAIN DECOMPOSITION SCHEME | BODIES | ELECTROMAGNETIC SCATTERING | TELECOMMUNICATIONS | COMPLEX STRUCTURES | ENGINEERING, ELECTRICAL & ELECTRONIC | Spherical waves | Basis functions | Spherical harmonics | Scattering | Coordinates | Domain decomposition methods | Axes (reference lines) | Rotation | Equivalence principle | Algorithms | Equivalence | Mathematical analysis | System effectiveness

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 04/2011, Volume 44, Issue 16, pp. 165302 - 21

Based on the results of part I (2011 J. Phys. A: Math. Theor. 44 165301), we obtain the general form of the addition theorem for spin spherical harmonics and...

PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Scalars | Tensors | Spherical harmonics | Mathematical analysis | Addition theorem | Sums

PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Scalars | Tensors | Spherical harmonics | Mathematical analysis | Addition theorem | Sums

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 04/2011, Volume 44, Issue 16, pp. 165301 - 25

We develop a systematic approach to deriving addition theorems for, and some other bilocal sums of, spin spherical harmonics. In this first part we establish...

PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Clebsch-Gordan coefficients | Operators | Tensors | Degrees of freedom | Spherical harmonics | Mathematical analysis | Addition theorem | Factorization

PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Clebsch-Gordan coefficients | Operators | Tensors | Degrees of freedom | Spherical harmonics | Mathematical analysis | Addition theorem | Factorization

Journal Article

Journal of the Korean Mathematical Society, ISSN 0304-9914, 2018, Volume 55, Issue 5, pp. 1179 - 1192

Several addition formulas for a general class of q-Appell sequences are proved. The q-addition formulas, which are derived, involved not only the generalized...

q-orthogonal polynomials | q-Bernoulli | q-Euler and q-Genocchi polynomials | Generating functions | q-Appell polynomials | q-addition theorem | MATHEMATICS | MATHEMATICS, APPLIED | generating functions

q-orthogonal polynomials | q-Bernoulli | q-Euler and q-Genocchi polynomials | Generating functions | q-Appell polynomials | q-addition theorem | MATHEMATICS | MATHEMATICS, APPLIED | generating functions

Journal Article

NUMERICAL ALGORITHMS, ISSN 1017-1398, 05/2016, Volume 72, Issue 1, pp. 91 - 106

Graf's and Neumann's addition theorems for Bessel functions have been widely used in acoustic and electromagnetic scattering problems, especially the fast...

MATHEMATICS, APPLIED | Neumann's addition theorem | Convergence rate | FAST MULTIPOLE METHOD | Bessel functions | Truncation error | SCATTERING | Graf's addition theorem | Electromagnetism

MATHEMATICS, APPLIED | Neumann's addition theorem | Convergence rate | FAST MULTIPOLE METHOD | Bessel functions | Truncation error | SCATTERING | Graf's addition theorem | Electromagnetism

Journal Article

Discrete Dynamics in Nature and Society, ISSN 1026-0226, 2012, Volume 2012

The main purpose of this paper is to introduce and investigate a new class of generalized Bernoulli and Genocchi polynomials based on the q-integers. The...

Q-EXTENSIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | NUMBERS | EULER POLYNOMIALS | MULTIDISCIPLINARY SCIENCES | Theorems (Mathematics) | Polynomials | Research | Studies | Theorems | Dynamics | Addition theorem

Q-EXTENSIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | NUMBERS | EULER POLYNOMIALS | MULTIDISCIPLINARY SCIENCES | Theorems (Mathematics) | Polynomials | Research | Studies | Theorems | Dynamics | Addition theorem

Journal Article

20.
Full Text
Convergence of Magnus integral addition theorems for confluent hypergeometric functions

Integral Transforms and Special Functions, ISSN 1065-2469, 10/2016, Volume 27, Issue 10, pp. 767 - 774

In 1946, Magnus presented an addition theorem for the confluent hypergeometric function of the second kind U with argument x+y expressed as an integral of a...

integral addition theorems | 33C15 | 33C10 | Bessel functions | Confluent hypergeometric functions | modified parabolic cylinderfunctions | MATHEMATICS | MATHEMATICS, APPLIED | Theorems | Convergence | Hypergeometric functions | Integrals | Asymptotic properties | Transforms | Addition theorem | Cylinders

integral addition theorems | 33C15 | 33C10 | Bessel functions | Confluent hypergeometric functions | modified parabolic cylinderfunctions | MATHEMATICS | MATHEMATICS, APPLIED | Theorems | Convergence | Hypergeometric functions | Integrals | Asymptotic properties | Transforms | Addition theorem | Cylinders

Journal Article

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