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Published in 2020 at "Journal of Function Spaces"
DOI: 10.1155/2020/6624006
Abstract: The problem of counting derangements was initiated by Pierre Rémond de Montmort in 1708. A derangement is a permutation that has no fixed points, and the derangement number D n is the number of fixed…
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Keywords:
identities involving;
random variables;
polynomials numbers;
gamma random ... See more keywords
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Published in 2022 at "Axioms"
DOI: 10.3390/axioms11090477
Abstract: In this paper, by introducing degenerate Fubini-type polynomials, with the help of the Faà di Bruno formula and some properties of partial Bell polynomials, the authors provide several new explicit formulas and recurrence relations for…
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Keywords:
type polynomials;
degenerate apostol;
polynomials numbers;
fubini type ... See more keywords
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Published in 2019 at "Symmetry"
DOI: 10.3390/sym11020264
Abstract: In this paper, firstly the definitions of the families of three-variable polynomials with the new generalized polynomials related to the generating functions of the famous polynomials and numbers in literature are given. Then, the explicit…
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Keywords:
new families;
polynomials numbers;
three variable;
families three ... See more keywords
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Published in 2019 at "Symmetry"
DOI: 10.3390/sym11030352
Abstract: The purpose of this manuscript is to study and investigate generating functions for Boole type polynomials and numbers of higher order. With the help of these generating functions, many properties of Boole type polynomials and…
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Keywords:
type polynomials;
boole type;
generating functions;
polynomials numbers ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14040654
Abstract: The aim of this paper is to give generating functions for parametrically generalized polynomials that are related to the combinatorial numbers, the Bernoulli polynomials and numbers, the Euler polynomials and numbers, the cosine-Bernoulli polynomials, the…
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Keywords:
parametrically generalized;
euler polynomials;
functions parametrically;
polynomials numbers ... See more keywords