Showing 41 - 60 of 83

41

A certain class of q-Bessel polynomials: A certain class of \(q\)-Bessel polynomials
H. Exton ; Hari M. Srivastava
Mathematical and Computer Modelling. 19:55-60

Generalized basic hyperg... \(q\)-gamma functions, \... Modelling and Simulation Other basic hypergeometr... 0101 mathematics 01 natural sciences
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42

TheC ? Bailey transform and Bailey lemma: The \(C_ \ell\) Bailey transform and Bailey lemma
Gleen M. Lilly ; Stephen C. Milne
Constructive Approximation. 9:473-500

Generalized basic hyperg... Rogers-Ramanujan identit... Bailey transform Other basic hypergeometr... Special integral transfo... root system
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43

Difference schr�dinger operators with linear and exponential discrete spectra: Difference Schrödinger operators with linear and exponential discrete spectra
Luc Vinet ; Vyacheslav P. Spiridonov ; Alexei Zhedanov
Letters in Mathematical Physics. 29:63-73

Meixner orthogonal polyn... Charlier polynomials Other basic hypergeometr... 0103 physical sciences Quantum groups (quantize... Krawtchouk polynomials
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44

Askey–Wilson Polynomials as Zonal Spherical Functions on the ${\operatorname{SU}}(2)$ Quantum Group: Askey-Wilson polynomials as zonal spherical functions on the \(SU(2)\) quantum group
Tom H. Koornwinder
SIAM Journal on Mathematical Analysis. 24:795-813

little \(q\)-Jacobi poly... Other basic hypergeometr... \(q\)-Jacobi polynomials \(SU (2)\) quantum group \(q\)-Krawtchouk polynom... Quantum groups (quantize...
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45

Weyl shift ofq-oscillator andq-polynomials: Weyl shift of \(q\)-oscillator and \(q\)-polynomials
A. S. Zhedanov
Theoretical and Mathematical Physics. 94:219-224

Weyl operator Other basic hypergeometr... \(q\)-Hermite polynomial... 0103 physical sciences Weyl \(q\)-operator Coherent states
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46

Jackson-type integrals, bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system: Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system
Nicolai Reshetikhin
Letters in Mathematical Physics. 26:153-165

Difference equations Other basic hypergeometr... quantum Knizhnik-Zamolod... 0103 physical sciences Quantum groups (quantize... difference equations
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47

An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions: An addition theorem and some product formulas for the Hahn-Exton \(q\)- Bessel functions
René F. Swarttouw
Canadian Journal of Mathematics. 44:867-879

Basic hypergeometric fun... Other basic hypergeometr... addition formula 0101 mathematics 01 natural sciences \(q\)-Bessel functions
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48

Transmutations and Ascent: Transmutations and ascent
Louis R. Bragg
Zeitschrift für Analysis und ihre Anwendungen. 10:123-148

ascent type formulas for... Laplace transform Other basic hypergeometr... Semigroups of nonlinear... 01 natural sciences ill-posed Cauchy problem
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49

Advanced Determinant Calculus: Advanced determinant calculus
Christian Krattenthaler
The Andrews Festschrift ISBN: 9783540414919

Other basic hypergeometr... determinant evaluation Exact enumeration proble... FOS: Physical sciences Determinants, permanents... 0102 computer and inform...
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50

A theta product formula for Jackson integrals associated with root systems
Ito, Masahiko
Proc. Japan Acad. Ser. A Math. Sci. 73, no. 4 (1997), 60-61

Basic theta functions 33D80 Other basic hypergeometr... 01 natural sciences \(q\)-gamma functions, \... 33D05
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51

Transformations of mixed hypergeometric series
Abdul Hakim Khan ; Mumtaz Ahmad Khan
Demonstratio Mathematica. 29

quadric transformations bibasic hypergeometric s... mixed hypergeometric ser... basic hypergeometric fun... Other basic hypergeometr... \(q\)-fractional derivat...
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52

A Generalization of Gosper's Algorithm to Bibasic Hypergeometric Summation: A generalization of Gosper's algorithm to bibasic hypergeometric summation
Axel Riese
The Electronic Journal of Combinatorics. 3

Generalized basic hyperg... Other basic hypergeometr... Gosper's algorithm 0102 computer and inform... 0101 mathematics Symbolic computation and...
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53

Eight lectures on quantum groups and q-special functions: Eight lectures on quantum groups and \(q\)-special functions
Koelink, Erik

Research exposition (mon... Hopf *-algebras Askey-Wilson polynomials deformed function algebr... quantised universal enve... quantum groups
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54

Holonomic $q$-difference system associated with the basic hypergeometric series ${}_{n+1}\phi_n$: Holonomic \(q\)-difference system associated with the basic hypergeometric series \(_{n+1}\varphi_ n\)
Katsuhisa Mimachi
Tohoku Math. J. (2) 45, no. 4 (1993), 485-490

Wronskian Generalized basic hyperg... Basic hypergeometric fun... \(q\)-calculus and relat... 39A10 Other basic hypergeometr...
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55

Identities for q-Ultraspherical Polynomials and Jacobi Functions: Identities for \(q\)-ultraspherical polynomials and Jacobi functions
Koelink, H.T.
Proceedings of the American Mathematical Society. 123:2479

Orthogonal polynomials a... \(q\)-Hahn polynomials \(q\)-ultraspherical pol... Other basic hypergeometr... operational calculus 0101 mathematics
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56

A q-Analogue of the Wronskian and a Second Solution of the Hahn-Exton q-Bessel Difference Equation: A \(q\)-analogue of the Wronskian and a second solution of the Hahn-Exton \(q\)-Bessel difference equation
H. G. Meijer ; René F. Swarttouw
Proceedings of the American Mathematical Society. 120:855

Basic hypergeometric fun... 4. Education Other basic hypergeometr... 0103 physical sciences \(q\)-difference equatio... \(q\)-Bessel function
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57

Certain transformations of basic hypergeometric functions of two variables – II: Certain transformations of basic hypergeometric functions of two variables
R. K. Sakena ; R. Kumar
Le Matematiche, Vol 48, Iss 1, Pp 45-51 (1993)
Le Matematiche, Vol 44, Iss 2, Pp 333-344 (1989)

summation formulas Generalized basic hyperg... Classical hypergeometric... Appell, Horn and Laurice... Basic hypergeometric fun... basic hypergeometric fun...
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58

On certain transformations of multiple basic hypergeometric functions
Saxena, R. K. ; Gupta, R. K.

basic hypergeometric fun... Generalized basic hyperg... Gauss theorem Other basic hypergeometr... Basic hypergeometric int... Kampé de Fériet function...
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59

On certain bilateral, bibasic \(q\)-hypergeometric series transformations and summations
Gupta, Anju

Other basic hypergeometr... mock theta functions bibasic bilateral series bibasic hypergeometric t...
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