• Suche: "basic hypergeometric functions"

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21

Infinite Families of Exact Sums of Squares Formulas, Jacobi Elliptic Functions, Continued Fractions, and Schur Functions: Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions
Milne, Stephen C.
Developments in Mathematics ISBN: 9781441952134

Mathematics - Number The... Other basic hypergeometr... Exact enumeration proble... 0102 computer and inform... 01 natural sciences Elliptic functions and i... …
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22

Orthogonal polynomials and continued fractions arising from contiguous relations and generalizations of Kummer and q-Kummer identities
Mansour, Zeinab S. I.
The Ramanujan Journal: An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan. :1-17

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23

The reproducing kernel structure associated to Fourier type systems and their quantum analogues
Abreu, Luís Daniel

Reproducing kernel q-Fourier series Orthogonal polynomials Basic hypergeometric fun... Sampling theorems
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24

An extension of Warnaar’s matrix inversion: An extension of Warnaar's matrix inversion
X. R. Ma
Proceedings of the American Mathematical Society. 133:3179-3189

Basic hypergeometric fun... Generalized hypergeometr... Basic hypergeometric fun... Exact enumeration proble... Theory of matrix inversi... 0102 computer and inform... …
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25

Some Closed-Form Evaluations of Multiple Hypergeometric and q-Hypergeometric Series: Some closed-form evaluations of multiple hypergeometric and \(q\)-hypergeometric series
Hari M. Srivastava ; Shy-Der Lin
Acta Applicandae Mathematicae. 86:309-327

multiple hypergeometric... summation formulas Other hypergeometric fun... Classical hypergeometric... Appell, Horn and Laurice... Generalized hypergeometr... …
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26

BCn-symmetric polynomials: BC\(_n\)-symmetric polynomials
Rains, Eric M.
Transformation Groups. 10:63-132

Basic orthogonal polynom... Orthogonal polynomials a... 01 natural sciences Basic orthogonal polynom... binomial formula \(BC_n\)-symmetric inter... …
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27

Multivariate basic hypergeometric series associated to root systems of type Am: Multivariate basic hypergeometric series associated to root systems of type \(A_{m}\)
Medhat A. Rakha
Journal of Mathematical Analysis and Applications. 294:181-195

Integral transformations Basic orthogonal polynom... hypergeometric series ve... q-beta integrals Applied Mathematics Other basic hypergeometr... …
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28

Application of basic hypergeometric series: Application of basic hypergeometric series.
Medhat A. Rakha ; Essam S. El-Sedy
Applied Mathematics and Computation. 148:717-723

Basic hypergeometric fun... Basic hypergeometric fun... 0102 computer and inform... Applications of basic hy... 0101 mathematics 01 natural sciences
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29

Connection coefficients for basic Harish-Chandra series
Stokman, Jasper V.
In Advances in Mathematics 15 January 2014 250:351-386

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30

Some limit relations in the A1 tableau of Dunkl-Cherednik operators: Some limit relations in the \(A_{1}\) tableau of Dunkl-Cherednik operators
Renato Alvarez-Nodarse ; Universidad de Sevilla. Departamento de Análisis Matemático ; Ministerio de Ciencia y Tecnología (MCYT). España ; et al.
idUS. Depósito de Investigación de la Universidad de Sevilla
Universidad de Sevilla (US)
instname

Mathematics(all) Basic orthogonal polynom... root systems Hypergeometric functions... basic hypergeometric ser... 01 natural sciences …
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31

Multiple elliptic hypergeometric series. An approach from the Cauchy determinant
Masatoshi Noumi ; Yasushi Kajihara
Indagationes Mathematicae. 14:395-421

duality transformation Mathematics(all) Cauchy determinant formu... 01 natural sciences Other hypergeometric fun... very well-poised multipl... …
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32

q—Type Sampling Theorems: \(q\)-type sampling theorems
Mahmoud H. Annaby
Results in Mathematics. 44:214-225

Signal theory (character... Basic orthogonal polynom... Fourier and Fourier-Stie... Basic hypergeometric fun... basic hypergeometric fun... basic Fourier series …
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33

On certain transformations of poly-basic bilateral hypergeometric series
R. Y. Denis ; S. P. Singh ; S. N. Singh
Journal of Computational and Applied Mathematics. 160:95-101

poly-basic transformation Applied Mathematics bilateral hypergeometric... bilateral \(q\)-series \(q\)-series …
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34

Partial Theta Functions. I. Beyond the Lost Notebook: Partial theta functions. I: Beyond the lost notebook
Warnaar, SO
Proceedings of the London Mathematical Society. 87:363-395

Rogers–Ramanujan identit... Rogers-Ramanujan identit... Lattices and Combinatori... 33D90 33D15 01 natural sciences …
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35

A 𝑞-analogue of the Whittaker-Shannon-Kotel’nikov sampling theorem: A \(q\)-analogue of the Whittaker-Shannon-Kotel'nikov sampling theorem
Ismail, Mourad E. ; Zayed, Ahmed I.
Proceedings of the American Mathematical Society. 131:3711-3719

q-trigonometric series Basic hypergeometric fun... Measures of information,... \(q\)-trigonometric seri... 4. Education General harmonic expansi... …
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36

Reduction Formulas for Karlsson–Minton-Type Hypergeometric Functions: Reduction formulas for Karlsson-Minton-type hypergeometric functions
Hjalmar Rosengren
Constructive Approximation. 20:525-548

hypergeometric series on... 33D15, 33D67 Karlsson-Minton-type hyp... Basic hypergeometric fun... Mathematics - Classical... Classical Analysis and O... …
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37

A Multidimensional Generalization of Shukla's 8ψ8 Summation: A multidimensional generalization of Shukla's \(_8\psi _8\) summation
Michael J. Schlosser
Constructive Approximation. 19:163-178

1010 Mathematics 33D15, 33D67 1010 Mathematik \(q\)-series basic hypergeometric ser... \(U(r)\) series …
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38

Modular Transformations of the Elliptic Hypergeometric Functions, Macdonald Polynomials, and the Shift Operator: Modular transformations of the elliptic hypergeometric functions, Macdonald polynomials, and the shift operator
Alexander Varchenko ; Laura Stevens ; Giovanni Felder
Moscow Mathematical Journal. 3:457-473

shift operator Virasoro and related alg... modular group elliptic hypergeometric... conformal field theory 01 natural sciences …
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39

The roots of the third Jackson q‐Bessel function: The roots of the third J. Jckson \(q\)-Bessel function
Abreu, L. D. ; Bustoz, J. ; Cardoso, J. L.
International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 67, Pp 4241-4248 (2003)

Basic hypergeometric fun... QA1-939 0101 mathematics 01 natural sciences Mathematics Basic hypergeometric fun...
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40

Summation and transformation formulas for elliptic hypergeometric series: Summation and transformation formulas for elliptic hypergeometric series.
Warnaar, SO
Constructive Approximation. 18:479-502

Lattices and Combinatori... q-analog bailey 0102 computer and inform... 01 natural sciences Mathematical Sciences …
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