Results 61 to 70 of about 51,714 (196)

Construction on the Degenerate Poly-Frobenius-Euler Polynomials of Complex Variable

Journal of Function Spaces, 2021
In this paper, we introduce degenerate poly-Frobenius-Euler polynomials and derive some identities of these polynomials. We give some relationships between degenerate poly-Frobenius-Euler polynomials and degenerate Whitney numbers and Stirling numbers of
Ghulam Muhiuddin, Waseem Ahmad Khan, Deena Al-Kadi   +2 more
doaj   +1 more source

Lagrange inversion and Stirling number convolutions [PDF]

, 2014
Recently Agoh and Dilcher proved a convolution identity involving Stirling numbers S(n, r) of the second kind. We prove an identity where S(n, r) is replaced by a more general doubly-indexed family A(n, r).
Chapman, Robin
core  

On a generation of degenerate Daehee polynomials

AIMS Mathematics
Recently, probabilistic versions of certain special polynomials have been introduced, leading to the discovery of many interesting properties of these polynomials by many researchers.
Sang Jo Yun, Jin-Woo Park
doaj   +1 more source

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

Random Geometric Series

, 2004
Integer sequences where each element is determined by a previous randomly chosen element are investigated analytically.
Ben-Naim E, Ben-Naim E Krapivsky P L Redner S, Bougerol P, Conway J H, Crisanti A, Derrida B, E Ben-Naim, Furstenberg H, Graham R L, Guo L, Holz D E, Krasikov I, Luck J M, Oshanin G, P L Krapivsky, Sire C   +15 more
core   +1 more source

Rational Convolution Roots of Isobaric Polynomials [PDF]

, 2015
In this paper, we exhibit two matrix representations of the rational roots of generalized Fibonacci polynomials (GFPs) under convolution product, in terms of determinants and permanents, respectively.
Conci, Aura, Li, Huilan, MacHenry, Trueman   +2 more
core  

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

Skyscraper Numbers [PDF]

, 2013
We introduce numbers depending on three parameters which we call skyscraper numbers. We discuss properties of these numbers and their relationship with Stirling numbers of the first kind, and we also introduce a skyscraper sequence.Comment: 7 pages, 1 ...
Khovanova, Tanya, Lewis, Joel Brewster
core  

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