The Gauss Hypergeometric Ratio As a Positive Real Function

DOI10.1137/0513073zbMath0512.33001OpenAlexW2024801569MaRDI QIDQ4750982

Vitold Belevitch

Publication date: 1982

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0513073

zbMATH Keywords

complete elliptic integralsconfluent hypergeometric functionsStieltjes continued fractioncontinued fractions for ratios of gamma functionsGauss continued fraction for ratio of two hypergeometric functions

Mathematics Subject Classification ID

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

Related Items (5)

Jacobi matrices generated by ratios of hypergeometric functions ⋮ Functional inequalities for generalized inverse trigonometric and hyperbolic functions ⋮ On certain new means generated by generalized trigonometric functions ⋮ Ratios of the Gauss hypergeometric functions with parameters shifted by integers: more on integral representations ⋮ Inequalities and monotonicity of ratios for generalized hypergeometric function

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