Open AccessRecurrences and congruences for higher order geometric polynomials and related numbers
Author(s) -
Levent Kargın,
Mehmet Cenkci
Publication year - 2021
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v73i12.1080
Subject(s) - congruence relation , mathematics , convolution (computer science) , order (exchange) , recurrence relation , bernoulli number , discrete orthogonal polynomials , pure mathematics , wilson polynomials , difference polynomials , geometric progression , bernoulli's principle , orthogonal polynomials , classical orthogonal polynomials , algebra over a field , combinatorics , mathematical analysis , computer science , physics , artificial intelligence , finance , artificial neural network , economics , thermodynamics
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 -Bernoulli numbers.