Some biorthogonal polynomials suggested by the Laguerre polynomials

H. M. (Hari Mohan) Srivastava

Vol. 98 (1982), No. 1, 235–250

DOI: 10.2140/pjm.1982.98.235

Abstract

Joseph D. E. Konhauser discussed two polynomial sets {Y _n^α(x;k)} and {Z_n^α(x;k)}, which are biorthogonal with respect to the weight function x^αe^−x over the interval (0,∞), where α > −1 and k is a positive integer. The present paper attempts at exploring certain novel approaches to these biorthogonal polynomials in simple derivations of their several interesting properties. Many of the results obtained here are believed to be new; others were proven in the literature by employing markedly different techniques.

Mathematical Subject Classification

Primary: 33A65, 33A65

Milestones

Received: 3 September 1980

Published: 1 January 1982