Indefinite integrals of quotients of Gauss hypergeometric functions

DOI10.1080/10652469.2018.1451527zbMath1387.33008OpenAlexW2792099108MaRDI QIDQ4641450

John T. Conway

Publication date: 28 May 2018

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2018.1451527

zbMATH Keywords

Bessel functionsquotientsassociated Legendre functionsGauss hypergeometric functions

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Spherical harmonics (33C55)

Related Items

New indefinite integrals from a method using Riccati equations ⋮ Indefinite integrals from Wronskians for Whittaker and Gauss hypergeometric functions ⋮ The indefinite integrals of Meijer's G-functions from integrating factors ⋮ Indefinite integrals of special functions from hybrid equations ⋮ Indefinite integrals of special functions from integrating factors ⋮ Ratios of the Gauss hypergeometric functions with parameters shifted by integers: more on integral representations

Uses Software

• Mathematica

Cites Work

• Indefinite integrals involving the incomplete elliptic integral of the third kind
• A Lagrangian method for deriving new indefinite integrals of special functions
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