Landen inequalities for zero-balanced hypergeometric functions
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Publication:417225
DOI10.1155/2012/932061zbMath1241.26021arXiv1110.6619OpenAlexW2079025955WikidataQ58697118 ScholiaQ58697118MaRDI QIDQ417225
Publication date: 14 May 2012
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.6619
Inequalities for sums, series and integrals (26D15) Classical hypergeometric functions, ({}_2F_1) (33C05)
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Cites Work
- Unnamed Item
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- On non-monotonic ageing properties from the Laplace transform, with actuarial applications
- Generalized Bessel functions of the first kind
- Landen-type inequality for Bessel functions
- Ramanujan and hypergeometric and basic hypergeometric series
- Landen inequalities for hypergeometric functions
- Asymptotic expansions and inequalities for hypergeometric function
- Inequalities for Zero-Balanced Hypergeometric Functions
