Yayın: Modification and unification of the Apostol-type numbers and polynomials and their applications
Tarih
Kurum Yazarları
Özden, Hacer
Yazarlar
Şimşek, Yılmaz
Danışman
Dil
Türü
Yayıncı:
Elsevier
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Özet
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.
Açıklama
Kaynak:
Anahtar Kelimeler:
Konusu
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
Alıntı
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.