More indefinite integrals from Riccati equations

DOI10.1080/10652469.2019.1647538OpenAlexW2964569675MaRDI QIDQ5197982

John T. Conway

Publication date: 2 October 2019

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

Full work available at URL: https://doi.org/10.1080/10652469.2019.1647538

zbMATH Keywords

cylinder functionsassociated Legendre functionsMathieu functionsparabolic cylinder functions

Mathematics Subject Classification ID

Other functions coming from differential, difference and integral equations (33E30) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Spherical harmonics (33C55) Lamé, Mathieu, and spheroidal wave functions (33E10)

Uses Software

• Mathematica

Cites Work

• A Lagrangian method for deriving new indefinite integrals of special functions
• Indefinite integrals of some special functions from a new method
• New indefinite integrals from a method using Riccati equations
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