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Some (p, q)-analogues of Apostol type numbers and polynomials.
- Source :
-
Acta et Commentationes Universitatis Tartuensis de Mathematica . Jun2019, Vol. 23 Issue 1, p37-50. 14p. - Publication Year :
- 2019
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14062283
- Volume :
- 23
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Acta et Commentationes Universitatis Tartuensis de Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- 138901329
- Full Text :
- https://doi.org/10.12697/ACUTM.2019.23.04