On the monotonicity and convexity for generalized elliptic integral of the first kind
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Publication:2116791
DOI10.1007/s13398-022-01211-xOpenAlexW4214486737MaRDI QIDQ2116791
Publication date: 18 March 2022
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-022-01211-x
Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05)
Related Items (7)
Some general Wilker-Huygens inequalities ⋮ Sharp bounds for the lemniscatic mean by the weighted Hölder mean ⋮ On the absolute monotonicity of generalized elliptic integral of the first kind ⋮ Discrete approximation of complete \(p\)-elliptic integral of the second kind and its application ⋮ Sharp approximations for complete \(p\)-elliptic integral of the second kind by weighted power means ⋮ On the convexity and concavity of generalized complete elliptic integral of the first kind ⋮ Convexity and monotonicity involving the complete elliptic integral of the first kind
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