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Probabilistic Degenerate Fubini Polynomials Associated with Random Variables
by
Xu, Rongrong
, Ma, Yuankui
, Kim, Taekyun
, Kim, Dae San
in
Identities
/ Mathematical Physics
/ Mathematics
/ Mathematics and Statistics
/ Parameters
/ Polynomials
/ Random variables
/ Research Article
/ Statistical analysis
2024
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Probabilistic Degenerate Fubini Polynomials Associated with Random Variables
by
Xu, Rongrong
, Ma, Yuankui
, Kim, Taekyun
, Kim, Dae San
in
Identities
/ Mathematical Physics
/ Mathematics
/ Mathematics and Statistics
/ Parameters
/ Polynomials
/ Random variables
/ Research Article
/ Statistical analysis
2024
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Do you wish to request the book?
Probabilistic Degenerate Fubini Polynomials Associated with Random Variables
by
Xu, Rongrong
, Ma, Yuankui
, Kim, Taekyun
, Kim, Dae San
in
Identities
/ Mathematical Physics
/ Mathematics
/ Mathematics and Statistics
/ Parameters
/ Polynomials
/ Random variables
/ Research Article
/ Statistical analysis
2024
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Probabilistic Degenerate Fubini Polynomials Associated with Random Variables
Journal Article
Probabilistic Degenerate Fubini Polynomials Associated with Random Variables
2024
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Overview
Let
Y
be a random variable such that the moment generating function of
Y
exists in a neighborhood of the origin. The aim of this paper is to study probabilistic versions of the degenerate Fubini polynomials and the degenerate Fubini polynomials of order
r
, namely the probabilisitc degenerate Fubini polynomials associated with
Y
and the probabilistic degenerate Fubini polynomials of order
r
associated with
Y
. We derive some properties, explicit expressions, certain identities and recurrence relations for those polynomials. As special cases of
Y
, we treat the gamma random variable with parameters
α
,
β
>
0
, the Poisson random variable with parameter
α
>
0
, and the Bernoulli random variable with probability of success
p
.
Publisher
Springer Netherlands,Springer Nature B.V
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