Original scientific paper

Explicit forms for three integrals in Wand et al.

Tibor Pogany orcid.org/0000-0002-4635-8257 ; Faculty of Maritime Studies, University of Rijeka, Studentska 2, HR-51 000 Rijeka, Croatia
Saralees Nadarajah ; Department of Mathematics, University of Manchester, Manchester M13 9PL, UK

Abstract

We derive explicit forms for the three integrals used in Kim and Wand [3] and
Wand, Ormerody, Padoan and Fr¨uhwirth [7]. The explicit forms involve known special
functions for which in-built routines are available.

Keywords

Grunwald–Letnikov fractional derivative, Kummer’s confluent hypergeometric function, parabolic cylinder function, Tricomi confluent hypergeometric function

Hrčak ID:

252605

URI

https://hrcak.srce.hr/252605

Publication date:

10.3.2021.

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