Results 1 to 10 of about 53,753 (199)

Two identities and closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of the second kind

open access: yesDemonstratio Mathematica, 2022
In this article, the authors present two identities involving products of the Bernoulli numbers, provide four alternative proofs for these two identities, derive two closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of ...
Chen Xue-Yan   +3 more
doaj   +5 more sources

Extended Degenerate r-Central Factorial Numbers of the Second Kind and Extended Degenerate r-Central Bell Polynomials [PDF]

open access: yesSymmetry, 2019
In this paper, we introduce the extended degenerate r-central factorial numbers of the second kind and the extended degenerate r-central Bell polynomials. They are extended versions of the degenerate central factorial numbers of the second kind and the degenerate central Bell polynomials, and also degenerate versions of the extended r-central factorial
Dae San Kim   +3 more
openaire   +3 more sources

Degenerate central factorial numbers of the second kind [PDF]

open access: yesRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019
9 ...
Kim, Taekyun, Kim, Dae San
openaire   +5 more sources

An Alternative Proof of a Closed Formula for Central Factorial Numbers of the Second Kind

open access: yesTurkish Journal of Analysis and Number Theory, 2019
In the short note, by virtue of several formulas and identities for special values of the Bell polynomials of the second kind, the authors provide an alternative proof of a closed formula for central factorial numbers of the second kind. Moreover, the authors pose two open problems on closed form of a special Bell polynomials of the second kind and on ...
Feng Qi, Guo-Sheng Wu, Bai-Ni Guo
openaire   +3 more sources

New construction of type 2 degenerate central Fubini polynomials with their certain properties

open access: yesAdvances in Difference Equations, 2020
Kim et al. (Proc. Jangjeon Math. Soc. 21(4):589–598, 2018) have studied the central Fubini polynomials associated with central factorial numbers of the second kind.
Sunil Kumar Sharma   +3 more
doaj   +1 more source

Moments of the Negative Multinomial Distribution

open access: yesMathematical and Computational Applications, 2023
The negative multinomial distribution appears in many areas of applications such as polarimetric image processing and the analysis of longitudinal count data.
Frédéric Ouimet
doaj   +1 more source

The r-central factorial numbers with even indices

open access: yesAdvances in Difference Equations, 2020
In this paper, we introduce the r-central factorial numbers with even indices of the first and second kind as extended versions of the central factorial numbers with even indices of both kinds.
F. A. Shiha
doaj   +1 more source

The higher-order type 2 Daehee polynomials associated with p-adic integral on ℤp

open access: yesApplied Mathematics in Science and Engineering, 2022
In this paper, the higher-order type 2 Daehee polynomials are introduced and some of their relations and properties are derived. Then, some p-adic integral representations of not only higher-order type 2 Daehee polynomials and numbers but also type 2 ...
Waseem Ahmad Khan   +3 more
doaj   +1 more source

A note on degenerate Bernstein polynomials

open access: yesJournal of Inequalities and Applications, 2019
Recently, degenerate Bernstein polynomials have been introduced by Kim and Kim. In this paper, we investigate some properties and identities for the degenerate Bernstein polynomials associated with special numbers and polynomials including degenerate ...
Taekyun Kim   +3 more
doaj   +1 more source

Unified Description of Efficiency Correction and Error Estimation for Moments of Conserved Quantities in Heavy-Ion Collisions [PDF]

open access: yes, 2017
We provide a unified description of efficiency correction and error estimation for moments of conserved quantifies in heavy-ion collisions. Moments and cumulants are expressed in terms of the factorial moments, which can be easily corrected for the ...
Luo, Xiaofeng
core   +1 more source

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