A third integrating factor for indefinite integrals of special functions

DOI10.1080/10652469.2020.1777115zbMath1468.34035OpenAlexW3035994056MaRDI QIDQ4987925

John T. Conway

Publication date: 11 May 2021

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

Full work available at URL: https://doi.org/10.1080/10652469.2020.1777115

zbMATH Keywords

differential equationscylinder functionsWhittaker functionsparabolic cylinder functions

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Uses Software

• Mathematica
• DLMF

Cites Work

• NIST digital library of mathematical functions
• A Lagrangian method for deriving new indefinite integrals of special functions
• Indefinite integrals of some special functions from a new method
• Indefinite integrals of special functions from integrating factors
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