Cover Image

Recurrences and congruences for higher order geometric polynomials and related numbers

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 numb...

Full description

Saved in:

Bibliographic Details
Date:	2021
Main Authors:	Kargın, L., Cenkci, M.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2021
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1080
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Recurrences and congruences for higher order geometric polynomials and related numbers
by: L. Kargın, et al.
Published: (2021)

A Recurrence Relation Approach to Higher Order Quantum Superintegrability
by: Kalnins, E.G., et al.
Published: (2011)

Recurrence Relations for Wronskian Hermite Polynomials
by: Bonneux, N., et al.
Published: (2018)

Variations on Giuga Numbers and Giuga’s Congruence
by: Grau, J.-M., et al.
Published: (2015)

On q-congruences involving harmonic numbers
by: B. He
Published: (2017)

Variations on Giuga Numbers and Giuga’s Congruence
by: Grau, José María, et al.
Published: (2015)

On q-congruences involving harmonic numbers
by: Ge, B., et al.
Published: (2017)

Three-Term Recurrence Relation for Polynomials Orthogonal with Respect to Harmonic Measure
by: Dovgoshei, A. A., et al.
Published: (2001)

Power of n and nth root of multi-digit numbers based on recurrent relations
by: Tereshchenko, A.N.
Published: (2017)

Higher-order differential equations with polynomial solutions associated with classical orthogonal polynomials
by: V. L. Makarov
Published: (2020)

Power of n and n-th root of multi-digit numbers based on recurrent relations
by: A. N. Tereshchenko
Published: (2015)

The Kashaev Equation and Related Recurrences
by: Leaf, A.
Published: (2019)

Recurrence relations for multichannel queueing systems with second-order Erlangian service times
by: Yu. V. Zhernovyi, et al.
Published: (2018)

Polynomial approximations of solutions of higher-order operator-differential equations
by: Orudzhev, G. D., et al.
Published: (1994)

The Cartan – Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders
by: Blackmore, D.L., et al.
Published: (2007)

Analysis of Tridiagonal Recurrence Relations in Continuum Approximation
by: Bass, F.G., et al.
Published: (2001)

Analysis of Tridiagonal Recurrence Relations in Continuum Approximation
by: Bass, F. G., et al.
Published: (2013)

Recurrence Coefficients of a New Generalization of the Meixner Polynomials
by: Filipuk, G., et al.
Published: (2011)

System of Cryptographic Transformations of Numbers by Means of Linear Recurrent Forms
by: A. V. Anisimov
Published: (2016)

Congruences on ternary semigroups
by: Chronowski, A.
Published: (2004)

Congruences on ternary semigroups
by: Chronowski, A., et al.
Published: (2004)

Congruences and quasiidentities on unars
by: Kurinnyi, G. Ch., et al.
Published: (1997)

Higher-Order Relations for Derivatives of Nonlinear Diffusion Semigroups
by: Antoniouk, A. Vict., et al.
Published: (2001)

Ruled Surfaces as Pseudospherical Congruences
by: Gorkavyy, V.O., et al.
Published: (2009)

Recurrence Coefficients for Orthogonal Polynomials with a Logarithmic Weight Function
by: Deift, Percy, et al.
Published: (2024)

Higher Order DiRerential Operators with Finite Number of d-Interactions in Multivariate Case
by: Eyvazov, E.H.
Published: (2010)

Congruences on regular semigroups with Q-inverse transversals
by: A. Wang, et al.
Published: (2016)

Higher Order Connections
by: Eastwood, M.G.
Published: (2009)

Recurrent relations for the solutions of an infinite system of linear algebraic equations
by: Gomilko, A. M., et al.
Published: (1995)

Empirical model of congruence of mental space as a tool for the analysis of changes in international relations
by: I. Ishchenko, et al.
Published: (2019)

Congruences on regular semigroups with $Q$-inverse transversals
by: Wang, A., et al.
Published: (2016)

Recurrence relations for the three-dimensional Ising-like model in the external field
by: Kozlovskii, M.P.
Published: (2005)

Polynomials related to the Chebyshev polynomials
by: M. A. Sukhorolskyi, et al.
Published: (2017)

Certain verbal congruences on the free trioid
by: Zhuchok, Anatolii V.
Published: (2024)

On Permutable Congruences on Antigroups of Finite Rank
by: Derech, V. D., et al.
Published: (2004)

Normal congruences with focal bicylindrical surfaces
by: Koneva, N. P., et al.
Published: (1993)

Rectangular Recurrence Relations in ₙ and ₂ₙ₊₁ Invariant Integrable Models
by: Liashyk, Andrii, et al.
Published: (2025)

$q$-Numbers of quantum groups, Fibonacci numbers, and orthogonal polynomials
by: Kachurik, I. I., et al.
Published: (1998)

Building a World Models Autonomous Robot Based on Interpretation of Heterogeneous Sensory Information
by: A. I. Paramonov, et al.
Published: (2014)

Моделі представлення ключових елементів в задачі покомпонентного розпізнавання символів тексту
by: Kargin, A. A., et al.
Published: (2011)