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Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/28531
Title: Modification and unification of the Apostol-type numbers and polynomials and their applications
Authors: Şimşek, Yılmaz
Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.
Özden, Hacer
AAH-5090-2021
23973633900
Keywords: Bernoulli numbers and polynomials
Euler numbers and polynomials
Genocchi Bernoulli numbers and polynomials
Stirling numbers
Catalan numbers
Unified presentation
Euler polynomials
Generating-functions
Bernoulli
Families
Mathematics
Computational methods
Mathematical techniques
Bernoulli numbers
Euler numbers
Eulerian polynomial
Generating functions
Second kinds
Stirling number
Stirling-type
Polynomials
Issue Date: 25-May-2014
Publisher: Elsevier
Citation: Özden, H. ve Şimşek, Y. (2014). "Modification and unification of the Apostol-type numbers and polynomials and their applications". Applied Mathematics and Computation, 235, 338-351.
Abstract: In this paper, we construct generating functions for modification and unification of the Apostol-type polynomials Y ((nu))(n,beta)(x;k,a,b) of order nu. By using these generating functions, we derive many new identities related to the generalized Stirling type numbers of the second kind, array-type polynomials, Eulerian polynomials and the modification and unification of the Apostol-type polynomials and numbers. We give many applications related to these numbers and polynomials and PDEs.
URI: https://doi.org/10.1016/j.amc.2014.03.004
https://www.sciencedirect.com/science/article/pii/S0096300314003579
http://hdl.handle.net/11452/28531
ISSN: 0096-3003
1873-5649
Appears in Collections:Scopus
Web of Science

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