Landen-type inequality for Bessel functions

DOI10.1007/BF03321104zbMath1104.33002OpenAlexW1999621016MaRDI QIDQ2492085

Árpád Baricz

Publication date: 6 June 2006

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321104

zbMATH Keywords

hypergeometric functionsBessel functionsLanden inequality

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (13)

Sharp Landen transformation inequalities for hypergeometric functions, with applications ⋮ Generalized elliptic integrals ⋮ Landen inequalities for special functions ⋮ Topics in Special Functions III ⋮ Inequalities involving modified Bessel functions of the first kind. II ⋮ Transformation properties of hypergeometric functions and their applications ⋮ Landen inequalities for zero-balanced hypergeometric functions ⋮ Monotonicity rule for the quotient of two functions and its application ⋮ Bounds for modified Bessel functions of the first and second kinds ⋮ Inequalities for Gaussian hypergeometric functions ⋮ Jordan type inequalities involving the Bessel and modified Bessel functions ⋮ Topics in special functions. II ⋮ Monotonicity criterion for the quotient of power series with applications

Cites Work

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• On the Gaps between the Values of a Rational Quadratic Polynomial
• Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, π, and the Ladies Diary
• Landen inequalities for hypergeometric functions
• Asymptotic expansions and inequalities for hypergeometric function

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