On Legendre numbers

Paul W. Haggard

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-5

Abstract:

The Legendre numbers, an infinite set of rational numbers are defined from the associated Legendre functions and several elementary properties are presented. A general formula for the Legendre numbers is given. Applications include summing certain series of Legendre numbers and evaluating certain integrals. Legendre numbers are used to obtain the derivatives of all orders of the Legendre polynomials at x = 1 .

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:787189

DOI: 10.1155/S0161171285000436

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