Open AccessGenerating functions for generalization Simsek numbers and their applications
Author(s) -
Mouloud Goubi
Publication year - 2023
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.