Bell polynomials and generalized Laplace transforms. Issue 12 (2nd December 2022)

• Record Type: Journal Article
• Authors: Ricci, Paolo Emilio
• Is Part Of: Integral transforms and special functions. Volume 33:Issue 12(2022)
• Page Start: 966
• Page End: 977
• Publication Date: 2022-12-02
• Subjects: Bell polynomials -- Laguerre-type exponentials -- truncated exponentials -- Laplace transform; 30B50 -- 44A10 -- 05A15 -- 05A40; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2022.2059077
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: An extension of the Laplace transform obtained by using the Laguerre-type exponentials is first shown. Furthermore, the solution of the Blissard problem by means of the Bell polynomials gives the possibility to associate to any numerical sequence a Laplace-type transform depending on that sequence. Computational techniques for the corresponding transform of analytic functions, involving Bell polynomials, are derived.