Article ID: MTJPAM-D-21-00044

Title: Multi-index Fubini-type polynomials


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-21-00044; Volume 4 / Issue 1 / Year 2022, Pages 97-106

Document Type: Research Paper

Author(s): Musharraf Ali a , Richard B. Paris b

aDepartment of Mathematics, G.F. College, Shahjahanpur-242001, India

bDivision of Computing and Mathematics, Abertay University, Dundee DD1 1HG, UK

Received: 19 June 2021, Accepted: 19 October 2021, Published: 5 December 2021.

Corresponding Author: Musharraf Ali (Email address: drmusharrafali@gmail.com)

Full Text: PDF

Abstract

We introduce a new family of two-variable Fubini-type polynomials by utilizing the multi-index Mittag-Leffler function. By means of this latter function, we also define a new type of Stirling numbers of the second kind. Furthermore, some analytical properties of the above-mentioned polynomials and numbers are discussed.

Keywords: Fubini polynomials, Truncated Fubini polynomials, Truncated Bernoulli polynomials, Truncated Euler polynomials, Stirling numbers of the second kind, Mittag-Leffler function, Wiman function

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