Results 21 to 30 of about 212 (165)
Degenerate Versions of Hypergeometric Bernoulli–Euler Polynomials
Lobachevskii Journal of MathematicsIn this paper, we introduce degenerate versions of the hypergeometric Bernoulli and Euler polynomials. We demonstrate that they form Δλ-Appell sets and provide some of their algebraic properties, including inversion formulas, as well as the associated matrix formulation.
Clemente Cesarano +2 more
exaly +3 more sources
Degenerate and n-adic versions of Kummer's congruences for values of Bernoulli polynomials
Discrete Mathematics, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paul Thomas Young
exaly +3 more sources
Insight into degenerate Bell-based Bernoulli polynomials with applications
Journal of Mathematics and Computer ScienceRecently, the Bell-based Stirling polynomials of the second kind and the Bell-based Bernoulli polynomials [U. Duran, S. Araci, M. Acikgoz, Axioms, 10 (2021), 23 pages] have been considered, and some of their properties and applications in umbral calculus have been derived and analyzed.
Araci, S, Duran, U, Acikgoz, M
openaire +4 more sources
ON DEGENERATE q-BERNOULLI POLYNOMIALS
Bulletin of the Korean Mathematical Society, 2016 Taekyun Kim
exaly +3 more sources
Representing polynomials by degenerate Bernoulli polynomials
Quaestiones Mathematicae, 2022 19 ...
Kim, Dae San, Kim, Taekyun
openaire +3 more sources
Advances in Difference Equations, 2021 Recently, Kim et al. (Adv. Differ. Equ. 2020:168, 2020) considered the poly-Bernoulli numbers and polynomials resulting from the moderated version of degenerate polyexponential functions. In this paper, we investigate the degenerate type 2 poly-Bernoulli
Waseem A. Khan +3 more
doaj +1 more source
Explicit relations on the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials and numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 The main aim of this paper is to introduce and investigate the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials by using monomiality principle and operational methods.
Burak Kurt
doaj +1 more source
IET Networks, EarlyView., 2022 Abstract Everything can be connected in the Internet of Things (IoTs) technology that enables efficient communication between connected objects. IoTs industry‐based meta‐heuristic and mining algorithms, which are considered an important field of Artificial Intelligence will be used to construct a healthcare application in this study for lowering costs,
Muhaned Al‐Hashimi +4 more
wiley +1 more source
Some Identities of the Degenerate Multi-Poly-Bernoulli Polynomials of Complex Variable
Journal of Function Spaces, 2021 In this paper, we introduce degenerate multi-poly-Bernoulli polynomials and derive some identities of these polynomials. We give some relationship between degenerate multi-poly-Bernoulli polynomials degenerate Whitney numbers and Stirling numbers of the ...
G. Muhiuddin +3 more
doaj +1 more source
Degenerate Bell polynomials associated with umbral calculus
Journal of Inequalities and Applications, 2020 Carlitz initiated a study of degenerate Bernoulli and Euler numbers and polynomials which is the pioneering work on degenerate versions of special numbers and polynomials.
Taekyun Kim +4 more
doaj +1 more source