Landen inequalities for special functions
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Publication:3190194
DOI10.1090/S0002-9939-2014-12016-8zbMath1309.26020arXiv1301.5255OpenAlexW3105835763MaRDI QIDQ3190194
Publication date: 16 September 2014
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.5255
Inequalities for sums, series and integrals (26D15) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items (8)
Ramanujan's cubic transformation and generalized modular equation ⋮ Sharp inequalities for the generalized elliptic integrals of the first kind ⋮ Monotonicity rule for the quotient of two functions and its application ⋮ Inequalities for Gaussian hypergeometric functions ⋮ Functional inequalities for generalized complete elliptic integrals with two parameters ⋮ Monotonicity criterion for the quotient of power series with applications ⋮ Convexity and monotonicity for elliptic integrals of the first kind and applications ⋮ On the monotonicity and convexity for generalized elliptic integral of the first kind
Uses Software
Cites Work
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- Landen inequalities for zero-balanced hypergeometric functions
- Monotonicity theorems and inequalities for the complete elliptic integrals
- Generalized Bessel functions of the first kind
- Functional inequalities for the quotients of hypergeometric functions
- Generalized elliptic integrals
- Landen-type inequality for Bessel functions
- Generalized convexity and inequalities
- 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
- Bounds for modified Bessel functions of the first and second kinds
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