Some new identities and formulas for higher-order combinatorial-type numbers and polynomials
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The main purpose of this paper is to provide various identities and formulas for higher-order combinatorial-type numbers and polynomials with the help of generating functions and their both functional equations and derivative formulas. The results of this paper comprise some special numbers and polynomials such as the Stirling numbers of the first kind, the Cauchy numbers, the Changhee numbers, the Simsek numbers, the Peters poynomials, the Boole polynomials, the Simsek polynomials. Finally, remarks and observations on our results are given.
Açıklama
1st Mediterranean International Conference of Pure and Applied Mathematics and Related Areas (MICOPAM) -- OCT 26-29, 2018 -- Akdeniz Univ, Antalya, TURKEY
Anahtar Kelimeler
Functional Equation, Generating functions, Binomial coefficient, Partial differential equations, Stirling numbers of the first kind, Cauchy numbers, Peters poynomials, Boole polynomials, Changhee numbers, Simsek numbers and polynomials, Special numbers and polynomials
Kaynak
Filomat
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
34
Sayı
2
