Expansion in terms of gegenbauer polynomials for solutions of a perturbed gegenbauer differrential equation

DOI10.1080/10652469708819137zbMath0896.33001OpenAlexW2083370398MaRDI QIDQ4389792

Ahmed Fitouhi, Jamel El Kamel

Publication date: 24 May 1998

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

Full work available at URL: https://doi.org/10.1080/10652469708819137

zbMATH Keywords

second order differential operatorsJacobi operatorGegenbauer operatorsgeneralized Mehler-Heine formulaMehler type integral representationsSonine type integral representations

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Explicit solutions, first integrals of ordinary differential equations (34A05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (1)

Expansion in Terms of Appropriate Functions and Transmutations

Cites Work

• Unnamed Item
• Expansion in series of Bessel functions and transmutations for perturbed Bessel operators
• On the positivity of certain sums of ultraspherical polynomials
• A Uniform Asymptotic Expansion of the Jacobi Polynomials with Error Bounds
• A Uniform Expansion for the Eigenfunction of a Singular Second-Order Differential Operator

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