Indefinite integrals for some orthogonal polynomials obtained using integrating factors

DOI10.1080/10652469.2020.1786382zbMath1468.34034OpenAlexW3038585149MaRDI QIDQ4987894

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/10.1080/10652469.2020.1786382

zbMATH Keywords

differential equationsGegenbauer polynomialsHermite polynomialsLaguerre 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) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Other special orthogonal polynomials and functions (33C47)

Related Items (2)

Indefinite integrals involving Jacobi polynomials from integrating factors ⋮ Novel summation formulas for Jacobi and Gegenbauer polynomials

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
• Indefinite integrals of special functions from integrating factors
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