Some Series and Bounds for Incomplete Elliptic Integrals
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Publication:5720321
DOI10.1002/sapm1961401125zbMath0113.28103OpenAlexW2316478233MaRDI QIDQ5720321
Publication date: 1961
Published in: Journal of Mathematics and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/sapm1961401125
Related Items (15)
Inequalities and bounds for elliptic integrals ⋮ Lauricella's hypergeometric function \(F_ D\) ⋮ Asymptotic approximations for the first incomplete elliptic integral near logarithmic singularity ⋮ Series expansions for the third incomplete elliptic integral via partial fraction decompositions ⋮ Extended elliptic-type integrals with associated properties and Turán-type inequalities ⋮ Bounds for symmetric elliptic integrals. ⋮ A new upper bound for the complete elliptic integral of the first kind ⋮ Convergent expansions and bounds for the incomplete elliptic integral of the second kind near the logarithmic singularity ⋮ Inequalities for a Symmetric Elliptic Integral ⋮ Some families of generalized complete and incomplete elliptic-type integrals ⋮ An approximation for zero-balanced Appell function \(F_{1}\) near (1,1) ⋮ A certain class of incomplete elliptic integrals and associated definite integrals ⋮ The hyperelliptic integrals and \(\pi \) ⋮ Method of continual addition theorems and integral relations between the Coulomb functions and the Appell function \(F_1\) ⋮ Finite amplitude oscillations of a simple rubber support system
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