Some identities on λ-analogues of r-Stirling numbers of the first kind | Zendy

Taekyun Kim | Zendy; Dae San Kim | Zendy

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Some identities on λ-analogues of r-Stirling numbers of the first kind

Author(s) -

Taekyun Kim,

Dae San Kim

Publication year - 2020

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2002451k

Subject(s) - stirling numbers of the first kind , stirling number , bell polynomials , stirling engine , mathematics , stirling numbers of the second kind , order (exchange) , recurrence relation , algebra over a field , pure mathematics , combinatorics , thermodynamics , physics , finance , economics

In this paper, we study ?-analogues of the r-Stirling numbers of the first kind which have close connections with the r-Stirling numbers of the first kind and ?-Stirling numbers of the first kind. Specifically, we give the recurrence relations for these numbers and show their connections with the ?-Stirling numbers of the first kind and higher-order Daehee polynomials.

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