Yazar "Şimşek, Burçin" için listeleme
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An approach to negative hypergeometric distribution by generating function for special numbers and polynomials
Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yılmaz (2019)The aim of this paper is to not only provide a definition of a new family of special numbers and polynomials of higher-order with their generating functions, but also to investigate their fundamental properties in the ... -
Generating functions for new families of combinatorial numbers and polynomials: Approach to poisson-charlier polynomials and probability distribution function
Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yılmaz (Mdpi, 2019)The aim of this paper is to construct generating functions for new families of combinatorial numbers and polynomials. By using these generating functions with their functional and differential equations, we not only ... -
New classes of Catalan-type numbers and polynomials with their applications related to p-adic integrals and computational algorithms
Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yılmaz (Scientific Technical Research Council Turkey-Tubitak, 2020)The aim of this paper is to construct generating functions for new classes of Catalan-type numbers and polynomials. Using these functions and their functional equations, we give various new identities and relations involving ...