Results 91 to 100 of about 212 (165)

Degenerate Fubini-type polynomials associated with degenerate Apostol-Bernoulli and Apostol-Euler polynomials of order α

, 2021
In this paper, by introducing the degenerate Fubini-type polynomials, we give several relations with the help of the Faà di Bruno formula and some properties of Bell polynomials, and generating function methods. Also, we derive some new explicit formulas and recurrence relations for Fubini-type polynomials and numbers. Associating the degenerate Fubini-
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Probabilistic degenerate Bernstein polynomials

Applied Mathematics in Science and Engineering
In recent years, both degenerate versions and probabilistic extensions of many special numbers and polynomials have been explored. For instance, degenerate Bernstein polynomials and probabilistic Bernstein polynomials were investigated earlier.
Jinyu Wang, Yuankui Ma, Taekyun Kim, Dae San Kim   +3 more
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Extended Wang sum and associated products. [PDF]

PLoS One, 2022
Reynolds R, Stauffer A.
europepmc   +1 more source

Sequences of twice-iterated Δw-Gould–Hopper Appell polynomials

Journal of Taibah University for Science
In this paper, we introduce general sequence of twice-iterated [Formula: see text]-(degenerate) Gould–Hopper Appell polynomials (TI-DGHAP) via discrete [Formula: see text]-Gould–Hopper Appell convolution. We obtain some of their characteristic properties
Neslihan Biricik, Bayram Çekim, Mehmet Ali Özarslan   +2 more
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Degenerate Euler- Seidel Method for degenerate Bernoulli, Euler, and Genocchi polynomials

Networks and Heterogeneous Media
This paper introduces a degenerate version of the Euler-Seidel method by incorporating a parameter lambda into the classical recurrence relation. We define a degenerate Euler-Seidel matrix associated with an initial sequence and establish corresponding lambda-generalized binomial identities and generating function relations.
Kim, Taekyun, Kim, Dae San, Lee, Hyunseok, Hwang, Kyo-Shin   +3 more
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A note on degenerate Hermite poly-Bernoulli numbers and polynomials [PDF]

Journal of Classical Analysis, 2016
Summary: In this paper, we introduce a new class of degenerate Hermite poly-Bernoulli polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind. Some implicit summation formulae and general symmetry identities are derived by using different analytical means and applying generating functions.
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Identities involving degenerate stirling numbers of the second kind

Mathematical and Computer Modelling of Dynamical Systems
Building on Carlitz’s foundational work with degenerate Euler and Bernoulli polynomials, recent research has introduced and studied various degenerate special numbers and polynomials.
Taekyun Kim, Dae San Kim, Murad Khalil, Kyo-Shin Hwang   +3 more
doaj   +1 more source

Coulomb-actuated microbeams revisited: experimental and numerical modal decomposition of the saddle-node bifurcation. [PDF]

Microsyst Nanoeng, 2021
Melnikov A, Schenk HAG, Monsalve JM, Wall F, Stolz M, Mrosk A, Langa S, Kaiser B.   +7 more
europepmc   +1 more source

Probabilistic degenerate Stirling polynomials of the second kind and their applications

Mathematical and Computer Modelling of Dynamical Systems
The aim of this paper is to further study probabilistic versions of the degenerate Stirling polynomials of the second kind, namely the probabilistic degenerate Stirling polynomials of the second kind associated with [Formula: see text], which are also ...
Taekyun Kim, Dae San Kim, Jongkyum Kwon
doaj   +1 more source

Symmetric Identities Involving the Extended Degenerate Central Fubini Polynomials Arising from the Fermionic p-Adic Integral on ℤ_p

Axioms
Since the constructions of p-adic q-integrals, these integrals as well as particular cases have been used not only as integral representations of many special functions, polynomials, and numbers, but they also allow for deep examinations of many families
Maryam Salem Alatawi, Waseem Ahmad Khan, Ugur Duran   +2 more
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