Results 61 to 70 of about 3,168 (184)

On Degenerate Truncated Special Polynomials

Mathematics, 2020
The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
doaj   +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, W. A. Khan, U. Duran, D. Al-Kadi   +3 more
doaj   +1 more source

A Symmetric Sum Involving the Stirling Numbers of the First Kind

European Journal of Combinatorics, 1984
A symmetric sum involving the Stirling numbers of the first kind is obtained in the process of counting the number of paths along a rectangular array, and the generating function for the sum is given.
A.M. Khidr, Beih S. El-Desouky
openaire   +2 more sources

Poly-central factorial sequences and poly-central-Bell polynomials

Advances in Difference Equations, 2021
In this paper, we introduce poly-central factorial sequences and poly-central Bell polynomials arising from the polyexponential functions, reducing them to central factorials and central Bell polynomials of the second kind respectively when k = 1 $k = 1$
Hye Kyung Kim, Taekyun Kim
doaj   +1 more source

Summation Formulas for Certain Combinatorial Sequences

Mathematics
In this work, we establish some characteristics for a sequence, Aα(n,k), including recurrence relations, generating function and inversion formula, etc.
Yulei Chen, Dongwei Guo
doaj   +1 more source

A new approach to the r-Whitney numbers by using combinatorial differential calculus

Acta Universitatis Sapientiae: Mathematica, 2019
In the present article we introduce two new combinatorial interpretations of the r-Whitney numbers of the second kind obtained from the combinatorics of the differential operators associated to the grammar G := {y → yxm, x → x}.
Méndez Miguel A., Ramírez José L.
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source