Antiderivatives and integral representations of associated Legendre functions with {\mu}={\pm}{\nu}
Howard S. Cohl
Abstract
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.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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.
Key concepts: Legendre polynomials, Legendre function, Associated Legendre polynomials, Legendre transformation, Legendre wavelet, Mathematics, Degree (music), Sign (mathematics)