Numerical computations of infinite products

DOI10.1016/j.amc.2003.12.027zbMath1061.65017OpenAlexW2084240886MaRDI QIDQ1763240

Medhat A. Rakha, Adel Kh. Ibrahim

Publication date: 22 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.027

zbMATH Keywords

\(q\)-seriesnumerical examples\(q\)-products\(q\)-beta integralsInfinite productsmethod of gridded data interpolation

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Computation of special functions and constants, construction of tables (65D20) (q)-gamma functions, (q)-beta functions and integrals (33D05) Numerical approximation and evaluation of special functions (33F05) Convergence and divergence of infinite products (40A20)

Cites Work

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• Basic hypergeometric series very well-poised in U(n)
• Hypergeometric series well-poised in SU(n) and a generalization of Biedenharn's G-functions
• Some basic extensions of Gustafson-Rakha's multivariate basic hypergeometric series
• Lagrange and Hermite interpolation in Banach spaces
• Note on Multivariate Interpolation for Unequally Spaced Arguments, with an Application to Double Summation
• Scattered Data Interpolation: Tests of Some Method
• Formulas for Bivariate Hyperosculatory Interpolation
• \(q\)-beta integrals and multivariate basic hypergeometric series associated to root systems of type \(A_m\)

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