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Multi-Integral Representations for Associated Legendre and Ferrers Functions

Published

Author(s)

Howard S. Cohl

Abstract

We obtain antiderivatives and complex integral representations for associated Legendre functions and Ferrers functions (associated Legendre functions on-the-cut) of the first and second kind with degree and order equal to within a sign.
Citation
Integral Transforms and Special Functions
Volume
12
Issue
10

Keywords

Associated Legendre functions, Ferrers functions, Integral representations, Gauss hypergeometric function

Citation

Cohl, H. (2020), Multi-Integral Representations for Associated Legendre and Ferrers Functions, Integral Transforms and Special Functions, [online], https://doi.org/10.3390/sym12101598 (Accessed September 16, 2021)
Created September 24, 2020, Updated October 8, 2020