Showing 41 - 60 of 1,186

41

The Saalschütz chain reactions and bilateral basic hypergeometric series: The Saalschütz chain reactions and bilateral basic hypergeometric series.
CHU, Wenchang
Constructive Approximation. 18:579-597

multiple basic hypergeom... bilateral \(q\)-hyergeom... Basic hypergeometric fun... \(q\)-calculus and relat... Other basic hypergeometr... Saalschütz chain reactio...
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42

The WP-Bailey Tree and its Implications: The WP-Bailey tree and its implications
Alexander Berkovich ; George E. Andrews
Journal of the London Mathematical Society. 66:529-549

05A10, 05A19, 05A30, 11B... Mathematics - Number The... \(q\)-hypergeometric tra... 01 natural sciences well poised Bailey tree Gasper-Kirillov identity
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43

Some Basic Extensions of Gustafson-Rakha's Multivariate Basic Hypergeometric Series: Some basic extensions of Gustafson-Rakha's multivariate basic hypergeometric series
Medhat A. Rakha
Annals of Combinatorics. 6:107-115

hypergeometric series ve... Basic hypergeometric fun... basic Jackson's sum \(q\)-series basic hypergeometric ser... \(q\)-beta integrals
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44

A q-analogue of Kummer's 20 relations: A \(q\)-analogue of Kummer's 20 relations
Shaun Cooper
Journal of Mathematical Analysis and Applications. 272:43-54

Kummer's 20 relations Euler's transformation Applied Mathematics Basic hypergeometric ser... 01 natural sciences Classical hypergeometric...
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45

PROOF OF BAKER-FORRESTER'S CONSTANT TERM CONJECTURE FOR THE CASES N1 = 2, 3: Proof of Baker-Forrester's constant term conjecture for the cases \(N_1=2,3\)
Sayaka Hamada
Kyushu Journal of Mathematics. 56:243-266

Basic hypergeometric fun... Binomial coefficients factorials \(q\)-identities \(q\)-calculus and relat... Baker-Forrester conjectu...
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46

Modular Transformations of Ramanujan’s Fifth and Seventh Order Mock Theta Functions: Modular transformations of Ramanujan's fifth and seventh order mock theta functions
Basil Gordon ; Richard J. McIntosh
Developments in Mathematics ISBN: 9781441953957

mock theta function Binomial coefficients factorials \(q\)-identities Basic hypergeometric fun... Mordell integral
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47

Partitions: At the Interface of q-Series and Modular Forms: Partitions: At the interface of \(q\)-series and modular forms
George E. Andrews
Developments in Mathematics ISBN: 9781441953957

Basic hypergeometric fun... Rademacher conjecture partitions Analytic theory of parti... Elementary theory of par... modular forms
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48

On the q-polynomials: a distributional study: On the \(q\)-polynomials: A distributional study
Medem Roesicke, Juan Carlos ; Álvarez Nodarse, Renato ; Marcellán Español, Francisco ; et al.
idUS. Depósito de Investigación de la Universidad de Sevilla
instname
Universidad de Sevilla (US)
e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)

Basic orthogonal polynom... q-difference equations Matemáticas Orthogonal polynomials Applied Mathematics Exponential lattices
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49

Milne's hypergeometric functions in terms of free fermions
A. Yu. Orlov ; D. M. Scherbin
Journal of Physics A: Mathematical and General. 34:2295-2310

\(q\)-deformed hypergeom... Basic hypergeometric fun... 0103 physical sciences tau-functions Applications of basic hy... fermionic representation
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50

Refined q-Trinomial Coefficients and Character Identities: Refined \(q\)-trinomial coefficients and character identities.
S. Ole Warnaar
Journal of Statistical Physics. 102:1065-1081

Exact enumeration proble... exceptional simply-laced... 0102 computer and inform... Virasoro character ident... 05A10 05A30
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51

Multivariable q‐Hahn polynomials as coupling coefficients for quantum algebra representations: Multivariable \(q\)-Hahn polynomials as coupling coefficients for quantum algebra representations
Hjalmar Rosengren
International Journal of Mathematics and Mathematical Sciences, Vol 28, Iss 6, Pp 331-358 (2001)

Orthogonal polynomials a... 0103 physical sciences QA1-939 Quantum groups (quantize... 0101 mathematics Connections of basic hyp...
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52

q-Beta Integrals and Multivariate Basic Hypergeometric Series Associated to Root Systems of Type Am: \(q\)-beta integrals and multivariate basic hypergeometric series associated to root systems of type \(A_m\)
Medhat A. Rakha ; Robert A. Gustafson
Annals of Combinatorics. 4:347-373

Basic hypergeometric fun... 0101 mathematics Basic hypergeometric int... 01 natural sciences Basic orthogonal polynom... Basic hypergeometric fun...
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53

Normalized Uq(sl(3)) Gel’fand–(Weyl)–Zetlin basis and new summation formulas for q-hypergeometric functions: Normalized \(U_q(sl(3))\) Gel'fand-(Weyl)-Zetlin basis and new summation formulas for \(q\)-hypergeometric functions
A. D. Mitov ; V. K. Dobrev ; P. Truini
Journal of Mathematical Physics. 41:7752-7768

Finite-dimensional group... quantum groups Basic hypergeometric fun... holomorphic representati... basic hypergeometric fun... 0103 physical sciences
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54

q 2-convolution and itsq 2-Fourier transform: \(q^2\)-convolution and its \(q^2\)-Fourier transform.
V. B. K. Rogov
Czechoslovak Journal of Physics. 50:1347-1352

Proceedings, conferences... multiplicator Basic hypergeometric fun... \(q^2\)-Fourier transfor... Mathematics - Quantum Al... 0103 physical sciences
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55

The multiple sum formulas for 12j coefficients of SU(2) and uq(2): The triple sum formulas for \(9j\) coefficients of SU(2) and \(\text{u}_q(2)\)
Sigitas Ališauskas
Journal of Mathematical Physics. 43:1547-1568

Quantum Physics Generalized hypergeometr... Other basic hypergeometr... FOS: Physical sciences Quantum groups (quantize... Connections of hypergeom...
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56

Interacting columns: generating functions and scaling exponents: Interacting columns: Generating functions and scaling exponents
E J Janse van Rensburg
Journal of Physics A: Mathematical and General. 33:7541-7554

Random walks, random sur... Basic hypergeometric fun... 0103 physical sciences Applications of basic hy... 01 natural sciences
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57

Recursion formulae for basic hypergeometric functions
Stanisław Lewanowicz
Journal of Computational and Applied Mathematics. 121:297-312

Little q-Jacobi polynomi... recurrence relations little \(q\)-Jacobi poly... Computational Mathematic... Basic hypergeometric fun... q-difference equations
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58

Umbral Calculus, Bailey Chains, and Pentagonal Number Theorems: Umbral calculus, Bailey chains, and pentagonal number theorems
George E. Andrews
Journal of Combinatorial Theory, Series A. 91:464-475

Elementary theory of par... umbral calculus Bailey chain 01 natural sciences Theoretical Computer Sci... Computational Theory and...
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59

G-continued fractions for basic hypergeometric functions II: \(G\)-continued fractions for basic hypergeometric functions. II.
Douglas Bowman ; Geumlan Choi
Journal of Mathematical Analysis and Applications. 284:435-446

Basic hypergeometric fun... Basic hypergeometric fun... G-fractions Applied Mathematics basic hypergeometric ser... Convergence and divergen...
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60

Quantum Group Approach to q-Special Functions: Quantum group approach to \(q\)-special functions
M. Mansour ; Elsayed Ahmed ; A. S. Hegazi
International Journal of Theoretical Physics. 39:41-45

differential representat... Euclidean quantum algebr... Casimir operator \(q\)-deformed associate... 02 engineering and techn... 01 natural sciences
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