Recurrences and congruences for higher order geometric polynomials and related numbers

L. Kargın; M. Cenkci

doi:10.37863/umzh.v73i12.1080

L. Kargın Akdeniz Univ., Antalya, Turkey
M. Cenkci Akdeniz Univ., Antalya, Turkey

DOI: https://doi.org/10.37863/umzh.v73i12.1080

Keywords: Higher order geometric polynomials, p-Bernoulli numbers, congruences

Abstract

UDC 517.5

We obtain new recurrence relations, an explicit formula, and convolution identities for higher order geometric polynomials. These relations generalize known results for geometric polynomials, and lead to congruences for higher order geometric polynomials, particularly for $p$-Bernoulli numbers.

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