Functional inequalities involving special functions. II

DOI10.1016/j.jmaa.2006.05.006zbMath1105.33008OpenAlexW2047373729MaRDI QIDQ860655

Árpád Baricz

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.05.006

zbMATH Keywords

hypergeometric functionsBessel functionsKummer functionsgeneral power series

Mathematics Subject Classification ID

Other analytical inequalities (26D20) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items

Hölder concavity and inequalities for Jacobian elliptic functions, On generalized complete elliptic integrals and modular functions, Generalized elliptic integrals, Topics in Special Functions III, On exterior moduli of quadrilaterals and special functions, Functional inequalities for modified Struve functions, On the characterization properties of certain hypergeometric functions in the open unit disk, Unnamed Item, Concavity with respect to Hölder means involving the generalized Grötzsch function, Functional inequalities for modified Bessel functions, On generalized trigonometric functions with two parameters, Bounds for modified Bessel functions of the first and second kinds, Jordan type inequalities involving the Bessel and modified Bessel functions, Topics in special functions. II, Convexity with respect to Hölder mean involving zero-balanced hypergeometric functions, Refinements, generalizations, and applications of Jordan's inequality and related problems, Power series inequalities via Buzano's result and applications, Some inequalities for power series with applications, Inequalities and monotonicity of ratios for generalized hypergeometric function, Power series inequalities related to Young's inequality and applications, Power series inequalities via a refinement of the Schwarz inequality

Cites Work

• Functional inequalities for the quotients of hypergeometric functions
• Functional inequalities involving special functions
• Functional Inequalities for Complete Elliptic Integrals and Their Ratios
• Asymptotic expansions and inequalities for hypergeometric function
• Inequalities for Zero-Balanced Hypergeometric Functions
• Duplication inequalities for the ratios of hypergeometric functions
• Generating Functions for Bessel and Related Polynomials
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item