A note on certain dual series equations involving Laguerre polynomials

H. M. (Hari Mohan) Srivastava

Vol. 30 (1969), No. 2, 525–527

DOI: 10.2140/pjm.1969.30.525

Abstract

In this paper an exact solution is obtained for the dual series equations

∑ n=0∞Ln(α)(x) = f(x), 0 ≦ x < y,		(1)
∑ n=0∞Ln(σ)(x) = g(x), y < x < ∞,		(2)

where α + β + 1 > β > 1 − m,σ + 1 > α + β > 0,m is a positive integer,

is the Laguerre polynomial and f(x) and g(x) are prescribed functions.

Mathematical Subject Classification

Primary: 45.20

Secondary: 33.00

Milestones

Received: 20 January 1969

Published: 1 August 1969