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Extended two-variable Fubini-type polynomials and their propertiesopen access

Authors
Ghayasuddin, MohdAli, MusharrafKhan, Waseem AhmadKim, Dojin
Issue Date
2025
Publisher
University of Nis
Keywords
Fubini polynomials; Mittag-Leffler function; Stirling numbers of the second kind; Truncated Bernoulli polynomials; Truncated Euler polynomials; Truncated Fubini polynomials; Two-parameter Mittag-Leffler function
Citation
Filomat, v.39, no.17, pp 5817 - 5824
Pages
8
Indexed
SCIE
SCOPUS
Journal Title
Filomat
Volume
39
Number
17
Start Page
5817
End Page
5824
URI
https://scholarworks.dongguk.edu/handle/sw.dongguk/61735
DOI
10.2298/FIL2517817G
ISSN
0354-5180
2406-0933
Abstract
This paper introduces a novel family of two-variable Fubini-type polynomials utilizing the two-parameter Mittag-Leffler function. The proposed approach also leads to the introduction of a new type of Stirling numbers of the second kind. The paper systematically explores various intriguing properties associated with the introduced polynomials and numbers. The analytical properties, including differential formulas, summation formulas, and connections to well-known polynomials and numbers, are thoroughly investigated and presented. © 2025 Elsevier B.V., All rights reserved.
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