A three-term recurrence formula for the generalized Bernoulli polynomials | Zendy

Mohamed Amine Boutiche | Zendy; Ghania Guettai | Zendy; Mourad Rahmani | Zendy; Madjid Sebaoui | Zendy

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A three-term recurrence formula for the generalized Bernoulli polynomials

Author(s) -

Mohamed Amine Boutiche,

Ghania Guettai,

Mourad Rahmani,

Madjid Sebaoui

Publication year - 2020

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.41705

Subject(s) - term (time) , mathematics , bernoulli polynomials , stirling number , recurrence relation , stirling numbers of the second kind , order (exchange) , bernoulli number , bell polynomials , bernoulli's principle , difference polynomials , stirling numbers of the first kind , classical orthogonal polynomials , pure mathematics , algebra over a field , orthogonal polynomials , combinatorics , physics , finance , quantum mechanics , economics , thermodynamics

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.

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