New recurrence relations for several classical families of polynomials. (English) Zbl 1495.33005
Summary: In this paper, we derive new recurrence relations for the following families of polynomials: Nørlund polynomials, generalized Bernoulli polynomials, generalized Euler polynomials, Bernoulli polynomials of the second kind, Buchholz polynomials, generalized Bessel polynomials and generalized Apostol-Euler polynomials. The recurrence relations are derived from a differential equation of first order and a Cauchy integral representation obtained from the generating function of these polynomials.
MSC:
| 33C47 | Other special orthogonal polynomials and functions |
| 26C05 | Real polynomials: analytic properties, etc. |
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