The Hankel transform of a sequence obtained by series reversion

Bojičić, Radica and Petković, Marko D. and Barry, Paul (2012) The Hankel transform of a sequence obtained by series reversion. Integral Transforms and Special Functions, 23 (11). pp. 803-816. ISSN 1065-2469

Full text not available from this repository. (Request a copy)

Abstract

In this paper, we study the Hankel transform of a sequence defined by the series reversion of a certain rational function A(x). Using the method based on orthogonal polynomials, we give closed-form evaluations of the Hankel transform of and shifted sequences. It is also shown that the Hankel transforms satisfy certain ratio conditions which recover the sequence whose generating function is A(x). Therefore, we indicate that the term-wise ratios of Hankel transforms of shifted sequences are noteworthy objects of study, giving us more insight into the processes involved in the Hankel transform.

Item Type:	Article
Additional Information:	Funding Information: Marko D. Petković acknowledges the support of the research project 174013 of the Serbian Ministry of Education and Science. The authors thank an anonymous referee for the useful comments and remarks which improved the quality of the paper. They also thank Professor Predrag M. Rajković for the useful discussions on this topic.
Uncontrolled Keywords:	/dk/atira/pure/subjectarea/asjc/2600/2603
Departments or Groups:
Depositing User:	Admin SSL
Date Deposited:	19 Oct 2022 23:01
Last Modified:	26 Jun 2023 19:50
URI:	http://repository-testing.wit.ie/id/eprint/3622

Actions (login required)

View Item