Rocky Mountain Journal of Mathematics

A class of Frobenius-type Eulerian polynomials

H.M. Srivastava, M.A. Boutiche, and M. Rahmani

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Abstract

The aim of this paper is to prove several explicit formulas associated with the Frobenius-type Eulerian polynomials in terms of the weighted Stirling numbers of the second kind. As a consequence, we derive an explicit formula for the tangent numbers of higher order. We also give a recursive method for the calculation of the Frobenius-type Eulerian numbers and polynomials.

Article information

Source
Rocky Mountain J. Math., Volume 48, Number 3 (2018), 1003-1013.

Dates
First available in Project Euclid: 2 August 2018

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1533230836

Digital Object Identifier
doi:10.1216/RMJ-2018-48-3-1003

Mathematical Reviews number (MathSciNet)
MR3835583

Zentralblatt MATH identifier
06917359

Subjects
Primary: 11B68: Bernoulli and Euler numbers and polynomials 11Y16: Algorithms; complexity [See also 68Q25]

Keywords
Algorithm Frobenius-type Eulerian polynomials tangent numbers explicit formulas recurrence relations Stirling numbers of the first and second kind Whitney numbers of the second kind

Citation

Srivastava, H.M.; Boutiche, M.A.; Rahmani, M. A class of Frobenius-type Eulerian polynomials. Rocky Mountain J. Math. 48 (2018), no. 3, 1003--1013. doi:10.1216/RMJ-2018-48-3-1003. https://projecteuclid.org/euclid.rmjm/1533230836


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