Results 71 to 80 of about 51,714 (196)

A note on degenerate poly-Genocchi numbers and polynomials

Advances in Difference Equations, 2020
Recently, some mathematicians have been studying a lot of degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our research is also interested in this field.
Hye Kyung Kim, Lee-Chae Jang
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Conic intrinsic volumes of Weyl chambers

Modern Stochastics: Theory and Applications, 2022
A new, direct proof of the formulas for the conic intrinsic volumes of the Weyl chambers of types ${A_{n-1}}$, ${B_{n}}$ and ${D_{n}}$ is given. These formulas express the conic intrinsic volumes in terms of the Stirling numbers of the first kind and ...
Thomas Godland, Zakhar Kabluchko
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Three open problems and a conjecture

Open Mathematics, 2015
In this paper we solve three open problems and a conjecture related to the calculations of some classes of multiple series posed by Furdui in [1].
Qin Huizeng, Furdui Ovidiu
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Hurwitz-Lerch Type Multi-Poly-Cauchy Numbers

Mathematics, 2019
In this paper, we define Hurwitz–Lerch multi-poly-Cauchy numbers using the multiple polylogarithm factorial function. Furthermore, we establish properties of these types of numbers and obtain two different forms of the explicit formula using ...
Noel Lacpao, Roberto Corcino, Mary Ann Ritzell Vega   +2 more
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Type 2 degenerate modified poly-Bernoulli polynomials arising from the degenerate poly-exponential functions

AIMS Mathematics, 2022
We present a new type of degenerate poly-Bernoulli polynomials and numbers by modifying the polyexponential function in terms of the degenerate exponential functions and degenerate logarithm functions. Also, we introduce a new variation of the degenerate
Dojin Kim, Patcharee Wongsason , Jongkyum Kwon   +2 more
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Computing a family of probabilistic numbers in terms of probabilistic Stirling numbers of the second kind

Applied Mathematics in Science and Engineering
In this paper, we introduce the probabilistic Bernoulli numbers, Cauchy numbers, and Euler numbers of order α associated with the random variable Y, utilizing the generating function approach.
Aimin Xu
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The r-central factorial numbers with even indices

Advances 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
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Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind

AIMS Mathematics, 2019
In the paper, by virtue of the Faà di Bruno formula, some properties of the Bell polynomials of the second kind, and an inversion formula for the Stirling numbers of the first and second kinds, the authors establish meaningfully and significantly two ...
Feng Qi, Da-Wei Niu, Bai-Ni Guo
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New type of degenerate Daehee polynomials of the second kind

Advances in Difference Equations, 2020
Recently, Kim and Kim (Russ. J. Math. Phys. 27(2):227–235, 2020) have studied new type degenerate Bernoulli numbers and polynomials by making use of degenerate logarithm. Motivated by (Kim and Kim in Russ. J. Math. Phys. 27(2):227–235, 2020), we consider
Sunil Kumar Sharma, Waseem A. Khan, Serkan Araci, Sameh S. Ahmed   +3 more
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The higher-order type 2 Daehee polynomials associated with p-adic integral on ℤp

Applied 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, Jihad Younis, Ugur Duran, Azhar Iqbal   +3 more
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