Some families of generalized elliptic-type integrals

DOI10.1016/0895-7177(94)00212-7zbMath0820.33010OpenAlexW2070696316MaRDI QIDQ1804224

Yanyan Li

Publication date: 1 May 1995

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1828/2638

zbMATH Keywords

elliptic-type integrals

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05) Elliptic integrals as hypergeometric functions (33C75)

Related Items (15)

Some remarks on generalized elliptic-type integrals ⋮ Asymptotic formulas for unified elliptic-type integrals ⋮ Asymptotic formulas for unified elliptic-type integrals ⋮ Extended elliptic-type integrals with associated properties and Turán-type inequalities ⋮ A unified elliptic-type integral and associated recurrence relations ⋮ Study of incomplete elliptic integrals pertaining to \(_p\Psi_q\) function ⋮ Some families of generalized complete and incomplete elliptic-type integrals ⋮ Generalized elliptic-type integrals and generating functions ⋮ Unified integral formulae pertaining to elliptic-type integrals ⋮ Recursion formulas for Appell's hypergeometric function \(F_2\) with some applications to radiation field problems ⋮ A certain class of incomplete elliptic integrals and associated definite integrals ⋮ Asymptotic formulas for generalized elliptic-type integrals ⋮ On certain generalized families of unified elliptic-type integrals pertaining to Euler integrals and generating functions ⋮ Calculation of generalized elliptic type integrals using the binomial expansion theorem ⋮ Fourier and other series containing associated Legendre functions for incomplete Epstein–Hubbell integrals and functions related to elliptic integrals

Cites Work

• Some results for a class of generalized elliptic-type integrals
• Some results on generalized elliptic-type integrals
• Evaluation of a generalized elliptic-type integral
• A note on generalized elliptic integral
• Generating Functions for Bessel and Related Polynomials
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