Results 101 to 110 of about 628,239 (128)
On Generalized Class of Bell Polynomials Associated with Geometric Applications
In this paper, we introduce a new class of special polynomials called the generalized Bell polynomials, constructed by combining two-variable general polynomials with two-variable Bell polynomials. The concept of the monomiality principle was employed to
Wadia Faid Hassan Al-shameri +2 more
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Probabilistic degenerate Bernoulli and degenerate Euler polynomials
Recently, many authors have studied degenerate Bernoulli and degenerate Euler polynomials. Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin.
Dae San Kim +3 more
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Spivey-type recurrence relation for fully degenerate Bell polynomials
Spivey's combinatorial method revealed an important identity for Bell numbers, involving Stirling numbers of the second kind. This paper extends his work by deriving Spivey-type recurrence relations for fully degenerate Bell polynomials and degenerate Fubini polynomials.
Kim, Taekyun, Kim, Dae San
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Some identities related to degenerate Bernoulli and degenerate Euler polynomials
The aim of this paper is to study degenerate Bernoulli and degenerate Euler polynomials and numbers and their higher-order analogues. We express the degenerate Euler polynomials in terms of the degenerate Bernoulli polynomials and vice versa.
Dae San Kim +3 more
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A note on type 2 degenerate Changhee numbers and polynomials
In this paper, we introduce type 2 degenerate Changhee numbers and polynomials and investigate some properties of these numbers and polynomials. We introduce higher-order type 2 degenerate Changhee polynomials and numbers and derive their explicit ...
Waseem Ahmad Khan
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ON DEGENERATE BIVARIATE POLY-FUBINI POLYNOMIALS
In this paper, we introduce and investigate a new family of special polynomials called the degenerate bivariate poly-Fubini polynomials through an appropriate generating function involving the polylogarithm function and the degenerate exponential ...
Nestor G. Acala, Jasmin M. Macagaan
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Curious congruences related to the Bell polynomials
, 2018 In this paper we give some congruences on the r-derangement polynomials (dened below), Lah polynomials and some versions of Bell numbers and polynomials.Mathematics Subject Classication (2010): 11B73, 05A18, 11A07.Key words: Generalized Bell umbra, Bell ...
Benyattou, Abdelkader, Mihoubi, Miloud
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Probabilistic bivariate Bell polynomials
Let Y be a random variable whose moment generating function exists in some neighborhood of the origin. We consider the probabilistic bivariate Bell polynomials associated with Y and the probabilistic bivariate r-Bell polynomials associated with Y.
Kim, Taekyun, Kim, Dae san
core
Probabilistic degenerate Bernstein polynomials
In recent years, both degenerate versions and probabilistic extensions of many special numbers and polynomials have been explored. For instance, degenerate Bernstein polynomials and probabilistic Bernstein polynomials were investigated earlier.
Kim, Taekyun +3 more
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Probabilistic degenerate derangement polynomials
In combinatorics, a derangement is a permutation of the elements of a set, such that no element appears in its original position. The number of derangement of an n-element set is called the nth derangement number.
Kim, Taekyun, Kim, Dae San
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