Generating functions for generalization Simsek numbers and their applications | Zendy

Mouloud Goubi | Zendy

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Generating functions for generalization Simsek numbers and their applications

Author(s) -

Mouloud Goubi

Publication year - 2021

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 26

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm200522005g

Subject(s) - mathematics , generalization , stirling number , generating function , stirling numbers of the second kind , stirling numbers of the first kind , polynomial , algebra over a field , bell polynomials , function (biology) , discrete mathematics , combinatorics , pure mathematics , mathematical analysis , evolutionary biology , biology

Our perpose in this work is the complete the study of Simsek numbers. We give answer to some open problems concerning polynomial representations and associated generating function. At the end of the study we investigate a new generalization of these numbers and obtain useful identities which connect Simsek numbers and Stirling numbers of second kind.

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