Explicit Formulas Associated with Some Families of Generalized Bernoulli and Euler Polynomials

In this paper, we propose and derive several new explicit formulas of the generalized Bernoulli and Euler polynomials in terms of the generalized Stirling numbers of the second kind. A study of some families of the modified generalized Euler polynomials yields an interesting algorithm for calculatin...

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2017-04, Vol.14 (2), p.1-10, Article 89
Main Authors: Boutiche, M. A., Rahmani, M., Srivastava, H. M.
Format: Article
Language:English
Subjects:
Combinatorial analysis
Economic models
Mathematics
Mathematics and Statistics
Polynomials
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Summary:In this paper, we propose and derive several new explicit formulas of the generalized Bernoulli and Euler polynomials in terms of the generalized Stirling numbers of the second kind. A study of some families of the modified generalized Euler polynomials yields an interesting algorithm for calculating the generalized Euler polynomials.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-017-0891-0