On the Solutions of Holonomic Third-Order Linear Irreducible Differential Equations in Terms of Hypergeometric Functions

DOI10.1007/978-3-030-36744-2_8zbMath1443.33005OpenAlexW3089573632MaRDI QIDQ3298073

Merlin Mouafo Wouodjié

Publication date: 21 July 2020

Published in: Orthogonal Polynomials (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.org/urn:nbn:de:hebis:34-2018060655613

zbMATH Keywords

operatorssingularitieshypergeometric functionstransformationsrational functionschange of variablesgauge transformationgeneralized exponentspoleszeroesexp-productexponent differences

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Uses Software

• Maple
• SumTools

Cites Work

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• An algorithm for solving second order linear homogeneous differential equations
• Factorization of differential operators with rational functions coefficients
• On the solutions of holonomic third-order linear irreducible differential equations in terms of hypergeometric functions
• Hypergeometric summation. An algorithmic approach to summation and special function identities
• Finding all bessel type solutions for linear differential equations with rational function coefficients
• Solving Homogeneous Linear Differential Equations in Terms of Second Order Linear Differential Equations
• Solving differential equations in terms of bessel functions

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