Generating functions via integral transforms

0Citations
Citations of this article
10Readers
Mendeley users who have this article in their library.

Abstract

In this paper, we use some integral transforms to derive, for a polynomial sequence {Pn (x)}n ≥ 0, generating functions of the type Gγ (x, t) = ∑n = 0∞ γn Pn (x) tn, starting from a generating function of type G (x, t) = ∑n = 0∞ Pn (x) tn, where {γn}n ≥ 0 is a real numbers sequence independent on x and t. That allows us to unify the treatment of a generating function problem for many well-known polynomial sequences in the literature. © 2006 Elsevier Inc. All rights reserved.

Cite

CITATION STYLE

APA

Ben Cheikh, Y., & Lamiri, I. (2007). Generating functions via integral transforms. Journal of Mathematical Analysis and Applications, 331(2), 1200–1229. https://doi.org/10.1016/j.jmaa.2006.09.052

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free