The spherical Bessel and Struve functions and operational methods

D. Babusci, G. Dattoli, K. Górska, K.A. Penson

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We review some aspects of the theory of spherical Bessel functions and Struve functions by means of an operational procedure essentially of umbral nature, capable of providing the straightforward evaluation of their definite integrals and of successive derivatives. The method we propose allows indeed the formal reduction of these family of functions to elementary ones of Gaussian type. We study the problem in general terms and present a formalism capable of providing a unifying point of view including Anger and Weber functions too. The link to the multi-index Bessel functions is also briefly discussed. © 2014 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)1 - 6
Number of pages6
JournalApplied Mathematics and Computation
Volume238
DOIs
Publication statusPublished - 1 Jul 2014
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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