FILOMAT, vol.31, no.1, pp.9-16, 2017 (SCI-Expanded)
Article / Article
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Euler numbers, Euler polynomials, Frobenius-Euler numbers, Frobenius-Euler polynomials, Apostol-Bernoulli polynomials, Apostol-Bernoulli numbers, Generating functions, APOSTOL-BERNOULLI, Q-EXTENSIONS, EULER, NUMBERS
Akdeniz University Affiliated:
The aim of this paper is to investigate and give a new family of Apell type polynomials, which are related to the Euler, Frobenius-Euler and Apostol-Bernoulli polynomials and numbers and also the generalized Stirling numbers of the second kind etc. The results presented in this paper are based upon the theory of the generating functions. By using functional equations of these generating functions, we drive some identities and relations for these numbers and polynomials. Moreover, we give a computation algorithm these numbers.