Exact series solution to the Epstein-Hubbell generalized elliptic type integral using complex variable residue theory

DOI10.1016/0096-3003(93)90100-SzbMath0767.33015MaRDI QIDQ1208330

James D. Evans, Valerie D. Evans, John H. Hubbell

Publication date: 16 May 1993

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

residue theoryelliptic type integralEpstein-Hubbel integralsinfinite series expansion

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Approximation by other special function classes (41A30) Elliptic functions and integrals (33E05)

Related Items

Applications of complex variable residue theory to the evaluation of irrational definite integrals. III ⋮ Applications of complex variable residue theory for evaluating irrational definite integrals. IV ⋮ A note on the Epstein-Hubbell generalized elliptic-type integral ⋮ A study on the Epstein-Hubbell generalized elliptic-type integral using residue theory ⋮ Generalized elliptic-type integrals and their representations ⋮ Epstein-Hubbell elliptictype integral and its generalizations ⋮ A unified elliptic-type integral and associated recurrence relations ⋮ Generalized elliptic-type integrals and generating functions ⋮ A series approximation for disk galaxies by means of the Epstein-Hubbell integral ⋮ 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 ⋮ On the Epstein-Hubbell generalized elliptic-type integral

Cites Work

• Applications of complex variable residue theory to the evaluation solution of irrational definite integrals. II
• Evaluation of four irrational definite sine integrals using residue theory
• Applications of complex variable residue theory to the evaluation of irrational definite integrals. I
• Evaluation of four irrational cosine definite integrals using residue theory
• Evaluation of a generalized elliptic-type integral
• A note on generalized elliptic integral