• Suche: "basic hypergeometric functions"

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1

Evaluation of beta integrals of Ramanujan type and integral representations for bilateral hypergeometric series
Cohl, Howard S. ; Volkmer, Hans
The Ramanujan Journal: An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan. 67(2)

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2

Certain q-Kober fractional integral operator of generalized basic hypergeometric functions and q-polynomials
Jayprakash Yadav
International Journal of Mathematics And Computer Research. 13

Generalized basic hyperg...
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3

Exponentially-improved asymptotics for [formula omitted]-difference equations: [formula omitted] and [formula omitted]
Joshi, Nalini ; Olde Daalhuis, Adri
In Indagationes Mathematicae November 2025 36(6):1555-1571

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4

On the fractional q-integral operators involving q-analogue of Mittag-Leffler function: On the fractional \(q\)-integral operators involving \(q\)-analogue of Mittag-Leffler function
Mulugeta Dawud Ali ; D. L. Suthar
Analysis. 44:245-251

Integral operators Fractional derivatives a... \(q\)-generalized hyperg... Riemann-Liouville fracti... \(q\)-beta function Applications of basic hy... …
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5

Evaluation of Hecke–Rogers series and expansions of the rank function
Bradley-Thrush, J. G.
The Ramanujan Journal: An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan. 65(4):1949-1970

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6

A Note on Wright-type Generalized q-hypergeometric Function
K. K. Chaudhary ; S. B. Rao
Известия Иркутского государственного университета: Серия "Математика", Vol 48, Iss 1, Pp 80-94 (2024)

q-calculus and related t... basic hypergeometric fun... QA1-939 q-beta functions and int... q-gamma functions Mathematics
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7

A study on unification of generalized hypergeometric function and Mittag-Leffler function with certain integral transforms of generalized basic hypergeometric function
K.K. Chaudhary ; S.B. Rao
Researches in Mathematics, Vol 32, Iss 1, Pp 16-32 (2024)

basic hypergeometric fun... q-calculus and related t... mittag-leffler functions... integral transforms of s... Mathematics QA1-939
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8

Elementary derivations of the Rogers-Fine identity and other q-series identities: Elementary derivations of the Rogers-Fine identity and other \(q\)-series identities
Chan, Heng Huat ; Chan, Song Heng ; Liu, Zhi-Guo
Discrete Mathematics. 348:114387

\(q\)-Chu-Vandermonde id... Basic hypergeometric fun... \(q\)-calculus and relat... quintuple product identi... \(q\)-series elementary proof …
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9

Nonterminating transformations and summations associated with some q-Mellin–Barnes integrals
Cohl, Howard S. ; Costas-Santos, Roberto S.
In Advances in Applied Mathematics June 2023 147

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10

Classification of 2-orthogonal polynomials with Brenke type generating functions
Hamza Chaggara ; Abdelhamid Gahami
Journal of Approximation Theory. 306:106125

Basic orthogonal polynom... FOS: Physical sciences Other special orthogonal... difference equations Mathematical Physics (ma... 2-orthogonal polynomials …
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11

Utility of integral representations for basic hypergeometric functions and orthogonal polynomials
Cohl, Howard S. ; Costas-Santos, Roberto S.
The Ramanujan Journal: An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan. 61(2):649-674

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12

Properties of the Appell–Lerch function (I)
Bradley-Thrush, J. G.
The Ramanujan Journal: An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan. 57(1):291-367

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13

Integral Transforms and Operational Calculus
Srivastava, Hari Mohan

TA1-2040 T1-995 infinite-point boundary... nonlinear boundary value... q-polynomials generalized Hurwitz–Lerc... …
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14

q-Analogs of Lidstone expansion theorem, two-point Taylor expansion theorem, and Bernoulli polynomials: \(q\)-Analogs of Lidstone expansion theorem, two-point Taylor expansion theorem, and Bernoulli polynomials
Zeinab S. Mansour ; Mourad E. H. Ismail
Analysis and Applications. 17:853-895

\(q\)-analog of Bernoull... Difference equations, sc... basic hypergeometric ser... 01 natural sciences Power series (including... two-point \(q\)-Taylor s... …
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15

Sum of interpolated multiple q-zeta values
Li, Zhonghua ; Wakabayashi, Noriko
In Journal of Number Theory July 2019 200:205-259

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16

A new approach to hypergeometric transformation formulas
Otsubo, Noriyuki
The Ramanujan Journal: An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan. :1-24

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17

A q-Analogue of the Whittaker-Shannon-Kotel'nikov Sampling Theorem
Ismail, Mourad E. ; Zayed, Ahmed I.
Proceedings of the American Mathematical Society, 2003 Dec 01. 131(12), 3711-3719.

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18

A review of multivariate orthogonal polynomials
Ruiming Zhang ; Mourad E. H. Ismail
Journal of the Egyptian Mathematical Society. 25:91-110

Rodrigues formulas Basic orthogonal polynom... Orthogonal polynomials a... Orthogonal polynomials a... biorthogonal functions Zernike polynomials …
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19

On the Zeros of the Big q -Bessel Functions and Applications
Fethi Bouzeffour ; Hanene Ben Mansour ; Mubariz Garayev
Mathematics, Vol 8, Iss 2, p 237 (2020)

basic hypergeometric fun... completeness of sets of... interpolation Mathematics QA1-939
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20

Harmonic polynomials on quantum euclidean spaces: Harmonic polynomials in quantum Euclidean spaces.
Zhelobenko D.P.
Doklady Akademii Nauk
Doklady Mathematics

Geometry of quantum grou... Quantum groups (quantize... Connections of basic hyp...
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