On Ramanujan asymptotic expansions and inequalities for hypergeometric functions

DOI10.1007/BF02841543zbMath0946.33003MaRDI QIDQ1301548

R. Balasubramanian, Saminathan Ponnusamy

Publication date: 8 October 2000

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

hypergeometric functionselliptic integrals

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (8)

ON AN INTEGRAL OF -BESSEL FUNCTIONS AND ITS APPLICATION TO MAHLER MEASURE ⋮ Sharp power-type Heronian and Lehmer means inequalities for the complete elliptic integrals ⋮ Certain multiplier results on \(B^p\) spaces ⋮ Dependence on the parameter of generalized Grötzsch ring and generalized Hübner functions ⋮ Monotonicity properties of generalized elliptic integrals with respect to the parameter ⋮ Sharp approximations for the generalized elliptic integral of the first kind ⋮ On the order of convexity for the shifted hypergeometric functions ⋮ A NOTE ON A TWO-PARAMETER FAMILY OF OPERATORS ${\mathcal A}^{b,c}$ ON WEIGHTED BERGMAN SPACES

Cites Work

• Special functions of quasiconformal theory
• Inequalities for compound mean iterations with logarithmic asymptotes
• Functional inequalities for the quotients of hypergeometric functions
• Functional Inequalities for Complete Elliptic Integrals and Their Ratios
• Ramanujan and hypergeometric and basic hypergeometric series
• Functional Inequalities for Hypergeometric Functions and Complete Elliptic Integrals
• Ramanujan's Notebooks
• Asymptotic expansions and inequalities for hypergeometric function
• Inequalities for Zero-Balanced Hypergeometric Functions
• Ramanujan's Theories of Elliptic Functions to Alternative Bases
• Analytic Inequalities
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