Abstract
In the present paper, we propose some new explicit formulas of the higher order Daehee polynomials in terms of the generalized r-Stirling and r-Whitney numbers of the second kind. As a consequence, we derive a three-term recurrence formula for the calculation of the generalized Bernoulli polynomials of order k.
Highlights
We are interested in the three-term recurrence formula for the generalized Bernoulli polynomials of order k ≥ 1
We presents some explicit formulas for the higher order Daehee polynomials
In the Theorem, we propose an algorithm which is based on three-term recurrence relation for calculating the generalized Bernoulli numbers of order k
Summary
Mohamed Amine Boutiche, Ghania Guettai, Mourad Rahmani and Madjid Sebaoui abstract: In the present paper, we propose some new explicit formulas of the higher order Daehee polynomials in terms of the generalized r-Stirling and rWhitney numbers of the second kind. We derive a three-term recurrence formula for the calculation of the generalized Bernoulli polynomials of order k. We are interested in the three-term recurrence formula for the generalized Bernoulli polynomials of order k ≥ 1. We presents some explicit formulas for the higher order Daehee polynomials.
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