Irreducible recurrences and representation theorems for \(_ 3F_ 2(1)\)

DOI10.1016/0898-1221(83)90124-4zbMath0523.33002OpenAlexW1998094397MaRDI QIDQ584592

Jet Wimp

Publication date: 1983

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(83)90124-4

zbMATH Keywords

hypergeometric function of unit argument

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (12)

Analysis of atomic integrals involving explicit correlation factors for the three-electron case. I: Connection to the hypergeometric function \(_{3}F_{2}\) ⋮ On the Mellin transform of products of Bessel and generalized hypergeometric functions ⋮ A generalized inverse binomial summation theorem and some hypergeometric transformation formulas ⋮ Generalized Watson's summation formula for \(_3F_2(1)\) ⋮ M. Jackson's bilateral \(_{3} H _{3}\)-series and extension with integer parameters ⋮ On Cauchy-Liouville-Mirimanoff polynomials. II ⋮ A generalization of Euler’s hypergeometric transformation ⋮ Three-term relations for \(_3F_2(1)\) ⋮ Gauss's \(_ 2F_ 1(1)\) cannot be generalized to \(_ 2F_ 1(x)\) ⋮ An Analytic Method for Convergence Acceleration of Certain Hypergeometric Series ⋮ Hypergeometry of the Parbelos ⋮ Analytical formulae for extended $_{3}F_{2}$-series of Watson–Whipple–Dixon with two extra integer parameters

Cites Work

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• Sequence transformations and their applications
• Some remarks on uniform asymptotic expansions for Bessel functions
• The special functions and their approximations. Vol. I, II
• Uniform Asymptotic Expansions of a Class of Meijer G-Functions for a Large Parameter
• The computation of₃F₂(1)

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