Indefinite integrals of special functions from integrating factors

DOI10.1080/10652469.2019.1689567zbMath1450.34004OpenAlexW2988713733MaRDI QIDQ5217260

John T. Conway

Publication date: 24 February 2020

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

Full work available at URL: https://doi.org/10.1080/10652469.2019.1689567

zbMATH Keywords

differential equationsGauss hypergeometric functionKummer function

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items

The indefinite integrals of Meijer's G-functions from integrating factors ⋮ Indefinite integrals involving Jacobi polynomials from integrating factors ⋮ Indefinite integrals for some orthogonal polynomials obtained using integrating factors ⋮ A third integrating factor for indefinite integrals of special functions

Uses Software

• Mathematica

Cites Work

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• A Lagrangian method for deriving new indefinite integrals of special functions
• Indefinite integrals of some special functions from a new method
• Indefinite integrals of quotients of Gauss hypergeometric functions
• New special function recurrences giving new indefinite integrals