Sums of products of ultraspherical functions

DOI10.1063/1.526599zbMath0587.33005OpenAlexW1972247863MaRDI QIDQ3714394

Mizan Rahman, Mihr J. Shah

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526599

zbMATH Keywords

ultraspherical polynomials

Mathematics Subject Classification ID

Spherical harmonics (33C55)

Related Items (5)

Integral formulas associated with products of Bessel functions: A new partial differential equation approach ⋮ On the linearization problem for ultraspherical polynomials ⋮ A class of sums of Gegenbauer functions: Twenty-four sums in closed form ⋮ A conformal dispersion relation: correlations from absorption ⋮ Unusual sum rule for Clebsch-Gordan coefficients

Cites Work

• A simple sum formula for Clebsch-Gordan coefficients
• Über gewisse orthogonale Polynome, die zu einer oszillierenden Belegungsfunktion gehören
• Positivity and the convolution structure for Jacobi series
• A Non-Negative Representation of the Linearization Coefficients of the Product of Jacobi Polynomials
• A family of sums of products of Legendre functions
• Product Formulas and Nicholson-Type Integrals for Jacobi Functions. I: Summary of Results
• On a Generalization of the Poisson Kernel for Jacobi Polynomials

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