Rational approximations for the quotient of gamma values

DOI10.1016/S0019-3577(09)80027-XzbMath1217.41016arXiv1010.0429MaRDI QIDQ633040

Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood

Publication date: 31 March 2011

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0429

zbMATH Keywords

linear recurrencerational approximationGamma functionmultiple Laguerre polynomialsEuler's constantJacobi-Laguerre orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gamma, beta and polygamma functions (33B15) Approximation by rational functions (41A20) Irrationality; linear independence over a field (11J72) Homogeneous approximation to one number (11J04)

Related Items (3)

RATIONAL APPROXIMATIONS TO VALUES OF BELL POLYNOMIALS AT POINTS INVOLVING EULER’S CONSTANT AND ZETA VALUES ⋮ On a continued fraction expansion for Euler's constant ⋮ Euler’s constant: Euler’s work and modern developments

Cites Work

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• Rational approximations of values of the Gamma function on rationals
• A system of recurrence relations for rational approximations of the Euler constant
• On the method of Thue-Siegel
• Rational approximations to values of the digamma function and a conjecture on denominators
• The special functions and their approximations. Vol. I, II
• Rational approximations for values of derivatives of the Gamma function
• Multiple orthogonal polynomials for classical weights

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