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 and, in particular, for p-Bernoulli numbers.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 12, pp. 1619–1637, December, 2021. Ukrainian DOI: https://doi.org/10.37863/umzh.v73i12.1080.
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Kargın, L., Cenkci, M. Recurrences and Congruences for Higher-Order Geometric Polynomials and Related Numbers. Ukr Math J 73, 1873–1894 (2022). https://doi.org/10.1007/s11253-022-02035-z
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DOI: https://doi.org/10.1007/s11253-022-02035-z