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- Title
Some (p, q)-analogues of Apostol type numbers and polynomials.
- Authors
ACIKGOZ, MEHMET; ARACI, SERKAN; DURAN, UGUR
- Abstract
We consider a new class of generating functions of the generalizations of Bernoulli and Euler polynomials in terms of (p, q)-integers. By making use of these generating functions, we derive (p, q)-generalizations of several old and new identities concerning Apostol-Bernoulli and Apostol-Euler polynomials. Finally, we define the (p, q)-generalization of Stirling polynomials of the second kind of order v, and provide a link between the (p, q)-generalization of Bernoulli polynomials of order v and the (p, q)-generalization of Stirling polynomials of the second kind of order v.
- Subjects
EULER polynomials; POLYNOMIALS; BERNOULLI polynomials; GENERATING functions; HERMITE polynomials; EULER characteristic
- Publication
Acta et Commentationes Universitatis Tartuensis de Mathematica, 2019, Vol 23, Issue 1, p37
- ISSN
1406-2283
- Publication type
Article
- DOI
10.12697/ACUTM.2019.23.04