Generalized Apostol Type Polynomials Based on Twin-Basic Numbers
MetadataShow full item record
CitationDuran, U., Acikgoz, M., Dutta, H. (2020). Generalized Apostol Type Polynomials Based on Twin-Basic Numbers. Communications in Mathematics and Applications, 11(1), 65-83. https://doi.org/10.26713/cma.v11i1.1327
In this work, we consider a class of new generating function for (p, q)-analog of Apostol type polynomials of order alpha including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order alpha. By making use of their generating function, we derive some useful identities. We also introduce the generating functions of (p, q)-analogues of the Stirling numbers of second kind of order tau and the Bernstein polynomials by which we construct diverse correlations including aforementioned polynomials and the (p, q)-gamma function.
SourceCommunications In Mathematics and Applications
Showing items related by title, author, creator and subject.
Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy; Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (Natural Sciences Publishing USA, 2018)In this paper, we introduce the generating function of Hermite-based poly-Daehee numbers and polynomials. By making use of this generating function, we investigate some new and interesting identities for the Hermite-based ...
In the present paper, we introduce (p, q)-extension of Apostol type Frobenius-Euler polynomials and numbers and investigate some basic identities and properties for these polynomials and numbers, including addition theorems, ...
In this paper, we introduce the two-variable truncated Fubini polynomials and numbers and then investigate many relations and formulas for these polynomials and numbers, including summation formulas, recurrence relations, ...