Fubini type numbers and their generating functions
2017
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Advisor: Prof. Dr. Yılmaz Şimşek
Abstract (EN)
In this thesis, Fubini typed numbers and their generating functions are studied. The definitions of Fubini type numbers and polynomials, functional equations and some properties are given. In addition, generating functions and their applications of some special numbers and polynomials are given. On the other hand realtion betwen the of Fubini type numbers and polynomials and other special numbers and polynomilas including the Bernoulli numbers and polynomials, the Apostol-Bernoulli numbers and polynomials, the Apostol-Euler numbers and polynomials, the Frobenius-Euler numbers and polynomials, the Apostol-Genocchi numbers and polynomials, the Stirling numbers of second kind and the λ-Stirling numbers of second kind are investeged. Finally, by help of generating functions of these special numbers and polynomials, many identities relations are obtained.
Author
Dr. Neslihan Kılar
How to Cite
Neslihan Kılar (Master Thesis). Fubini type numbers and their generating functions, 2017, Akdeniz University.
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