On parameter differentiation for integral representations of associated Legendre functions

DOI10.3842/SIGMA.2011.050zbMath1218.31008arXiv1101.3756OpenAlexW2097153471MaRDI QIDQ542809

Howard S. Cohl

Publication date: 17 June 2011

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3756

zbMATH Keywords

modified Bessel functionsLegendre functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Exponential and trigonometric functions (33B10)

Related Items (2)

On parameter derivatives of the associated Legendre function of the first kind (with applications to the construction of the associated Legendre function of the second kind of integer degree and order) ⋮ Gegenbauer expansions and addition theorems for a binomial and logarithmic fundamental solution of the even-dimensional Euclidean polyharmonic equation

Uses Software

• DLMF

This page was built for publication: On parameter differentiation for integral representations of associated Legendre functions