DOAJ Open Access 2023

A family of definite integrals involving Legendre’s polynomials

M.I. Qureshi S.H. Malik D. Ahmad

Abstrak

The main objective of this article is to provide the analytical solutions (not previously found and not available in the literature) of some problems related with definite integrals integrands of which are the products of the derivatives of Legendre’s polynomials of first kind having different order, with the help of some derivatives of Legendre’s polynomials of first kind P_n(x), Rodrigues formula, Leibnitz’s generalized rule for successive integration by parts and certain values of successive differential coefficients of (x^2 − 1)^r at x = ±1.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

M.I. Qureshi

S.H. Malik

D. Ahmad

Format Sitasi

APA MLA BibTeX

Qureshi, M., Malik, S., Ahmad, D. (2023). A family of definite integrals involving Legendre’s polynomials. https://doi.org/10.31489/2023M2/116-130

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.31489/2023M2/116-130
Akses: Open Access ✓