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A unified approach to the summation and integration formulas for \(q\)-hypergeometric functions. I

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Publication:1923409
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DOI10.1016/0378-3758(95)00160-3zbMath0861.33014OpenAlexW1966629113MaRDI QIDQ1923409

Mizan Rahman, Sergei K. Suslov

Publication date: 12 November 1996

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(95)00160-3


Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) (q)-gamma functions, (q)-beta functions and integrals (33D05)




Cites Work

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  • More q-beta integrals
  • Classical orthogonal polynomials of a discrete variable and representations of the three-dimensional rotation group
  • A simple proof of Ramanujan's summation of the \(_1\Psi_1\)
  • On classical orthogonal polynomials
  • Some basic bilateral sums and integrals
  • Ramanujan's Extensions of the Gamma and Beta Functions
  • The Pearson Equation and the Beta Integrals
  • Barnes and Ramanujan-Type Integrals on the q-Linear Lattice
  • INTERGALS REPRESENTING GENERAL HYPERGEOMETRIC TRANSFORMATIONS
  • ON INTEGRAL ANALOGUES OF CERTAIN TRANSFORMATIONS OF WELL-POISED BASIC HYPERGEOMETRIC SERIES
  • Some Basic Hypergeometric Transforms
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