On the Sears-Slater basic hypergeometric transformations

DOI10.1007/s11139-006-9012-6zbMath1173.33014OpenAlexW1998278325MaRDI QIDQ1024101

Yukari Sanada, Masahiko Ito

Publication date: 16 June 2009

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-006-9012-6

zbMATH Keywords

Jackson integral of type \(BC_1\)Sears--Slater transformationsvery-well-poised \(_{2r}\psi_{2r}\) series

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference equations, scaling ((q)-differences) (39A13) Basic hypergeometric functions associated with root systems (33D67)

Related Items

An Application of Cauchy–Sylvester’s Theorem on Compound Determinants to a BC n -Type Jackson Integral ⋮ A generalization of the Sears-Slater transformation and elliptic Lagrange interpolation of type \(BC_{n}\) ⋮ Connection formula for the Jackson integral of type \(A_n\) and elliptic Lagrange interpolation ⋮ A bilateral extension of the $q$-Selberg integral ⋮ Three-term relations between interpolation polynomials for a \(BC_n\)-type basic hypergeometric series ⋮ The \(q\)-Dixon-Anderson integral and multi-dimensional \(_1\psi_1\) summations ⋮ On a family of integrals that extend the Askey-Wilson integral ⋮ A determinant formula for a holonomic \(q\)-difference system associated with Jackson integrals of type \(BC_n\)

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