Indefinite integrals of special functions from hybrid equations

DOI10.1080/10652469.2019.1686630zbMath1450.34003OpenAlexW2983073187WikidataQ126835646 ScholiaQ126835646MaRDI QIDQ5217259

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/10.1080/10652469.2019.1686630

zbMATH Keywords

differential equationsBessel functionsassociated Legendre functionsothogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Spherical harmonics (33C55)

Uses Software

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Cites Work

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• Indefinite integrals involving the incomplete elliptic integrals of the first and second kinds
• Indefinite integrals involving the incomplete elliptic integral of the third kind
• 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
• Indefinite integrals of special functions from inhomogeneous differential equations
• New special function recurrences giving new indefinite integrals

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