TY - JOUR AU - L. Kargın AU - M. Cenkci PY - 2021/12/17 Y2 - 2024/03/28 TI - Recurrences and congruences for higher order geometric polynomials and related numbers JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 73 IS - 12 SE - Research articles DO - 10.37863/umzh.v73i12.1080 UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1080 AB - UDC 517.5We 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. ER -