논문KCI 등재
nth-order q-derivatives of Srivastava’s General Triple q-hypergeometric Series with Respect to Parameters
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We obtain $q$--derivatives of Srivastava's general triple $q$-hypergeometric series with respect to its parameters. The particular cases leading to results for three Srivastava's triple $q$--hypergeometric series $H_{A, q}$, $H_{B, q}$ and $H_{C, q}$ are also considered.
Abstract
We obtain $q$--derivatives of Srivastava's general triple $q$-hypergeometric series with respect to its parameters. The particular cases leading to results for three Srivastava's triple $q$--hypergeometric series $H_{A, q}$, $H_{B, q}$ and $H_{C, q}$ are also considered.
참고문헌 (11)
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- L. U. Ancarani, "Derivatives of any order of the Gaussian hypergeo-metric function 2F1(a; b; c; z) with respect to parameter a, b and c", J. Phys. A: Math. Theor, 42, pp.395208~ (2009)
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- G. Gasper, "Basic Hypergeometric Series" (2004), Cambridge University Press
- H. A. Ghany, "q-derivative of basic hypergeometric series with respect to parameters", Int. J. Math. Anal, 3(33-36), pp.1617~1632 (2009)
- V. B. Kuznetsov, "Factorisation of Macdonald polynomials, Sym-metries and integrability of difference equations", pp.370~384 (1996), Cambridge Univ. Press
- V. Sahai, "nth-order q-derivatives of multivariable q-hypergeometric series with respect to parameters", Asian-Eur. J. Math., 7(2), pp.1450019~ (2014)
- V. Sahai, "Derivatives of Appell functions with respect to parameters", J. Inequal. Spec. Funct., 6(3), pp.1~16 (2015)
- H. M. Srivastava, "Generalized Neumann expansions involving hypergeometric func-tions", Proc. Cambridge Philos. Soc., 63, pp.425~429 (1967)
- H. M. Srivastava, "Certain q-polynomial expansions for functions of several variables", IMA J. Appl. Math., 30, pp.315~323 (1983)
- H. M. Srivastava, "Multiple Gaussian Hypergeometric Series" (1985), John Wiley and Sons
관련 논문AI추천
Recursion Formulas for $q$-hypergeometric and $q$-Appell seriesAshish Verma, Vivek Sahai대한수학회 · 대한수학회논문집2018 · 제33권 제1호On a q-Extension of the Leibniz Rule via Weyl Type of q-Derivative OperatorSunil Dutt Purohit경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제4호Note on Srivastava's triple hypergeometric series $H_A$ and $H_C$최준상, Arjun K. Rathie, Yong Sup Kim대한수학회 · 대한수학회논문집2003 · 제18권 제3호A Q-analogue of hypergeometric series by Q-exponential functionsLAXMI MAJHI장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제4호q-functions of many variables in the spirit of Whipple and SrivastavaTHOMAS ERNST장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제1호On Certain Continued Fractions Related To 3ψ3 Basic Bilateral Hypergeometric FunctionsAbdulrawf A. A. Kahtan, G. Sharath, K. R. Vasuki장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제3호
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