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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
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
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
Journal Article
Advanced Optical Materials, ISSN 2195-1071, 03/2018, Volume 6, Issue 5, pp. 1701236 - n/a
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 Classical central limit theory is then no longer applicable, even when standard...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
Journal Article
IEEE Microwave and Wireless Components Letters, ISSN 1531-1309, 06/2018, Volume 28, Issue 6, pp. 485 - 487
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
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 10/2014, Volume 37, Issue 15, pp. 2198 - 2210
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
Journal Article
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
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 1/2015, Volume 81, Issue 1, pp. 53 - 95
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
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
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
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
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
Journal Article
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
Journal Article
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