2013arXiv (Cornell University)Open access

Antiderivatives and integral representations of associated Legendre functions with {\mu}={\pm}{\nu}

Howard S. Cohl

Open full text 0 citations

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.

About this research paper

What this paper is about

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.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Legendre polynomials, Legendre function, Associated Legendre polynomials, Legendre transformation, Legendre wavelet, Mathematics, Degree (music), Sign (mathematics)

Related papers

Back to paper searchBrowse research topicsOriginal source
Antiderivatives and integral representations of associated Legendre functions with {\mu}={\pm}{\nu} — Research Paper | ScholarLens