A generalized integration formula for indefinite integrals of special functions

DOI10.1080/10652469.2020.1721485zbMath1452.34004OpenAlexW3004420723MaRDI QIDQ5120994

John T. Conway

Publication date: 16 September 2020

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

Full work available at URL: https://doi.org/10.1080/10652469.2020.1721485

zbMATH Keywords

differential equationscylinder functionsWhittaker functionsmodified cylinder functions

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Other functions coming from differential, difference and integral equations (33E30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items

Indefinite integrals from Wronskians for Whittaker and Gauss hypergeometric functions

Uses Software

• Mathematica
• DLMF

Cites Work

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• 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 inhomogeneous differential equations
• New special function recurrences giving new indefinite integrals