Results 101 to 110 of about 1,081 (189)

Probabilistic degenerate central Bell polynomials

Mathematical and Computer Modelling of Dynamical Systems
Assume that [Formula: see text] is a random variable whose moment generating function exists in a neighbourhood of the origin. In this paper, we study the probabilistic degenerate central Bell polynomials associated with [Formula: see text], as ...
Li Chen, Taekyun Kim, Dae San Kim, Hyunseok Lee, Si-Hyeon Lee   +4 more
doaj   +1 more source

Single variable Bell polynomials

Collectanea Mathematica, 1962
Die Arbeit behandelt die Zerlegung (mod 2) der Bellschen Polynome \[ A_n(x) = \sum_{k=0}^n S(n, k) x^k \] in Faktoren. Die Koeffizienten sind die Stirlingschen Zahlen \[ S(n, k) = \frac1{k!} \sum_{r=0}^k (-1)^{k-r)} \binom{k}{r} r^n. \] Anstelle von \(A_n(x)\) rechnet Verf.
openaire   +2 more sources

Some Identities of Fully Degenerate r-Dowling Polynomials Arising from λ-Umbral Calculus

Mathematics
This paper introduces fully Dowling polynomials of the first and second kinds, which are degenerate versions of the ordinary Dowling polynomials. Then, several important identities for these degenerate polynomials are derived.
Xiaoxue Li, Siqi Dong, Yuankui Ma
doaj   +1 more source

Exploring probabilistic Bernstein polynomials: identities and applications

Applied Mathematics in Science and Engineering
In this paper, we introduce the probabilistic Bernstein polynomials and derive new and interesting correlations among several special functions and special number sequences such as Euler polynomials, Bernoulli polynomials of higher order, Frobenius–Euler
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

On the degenerate negative λ-binomial and Poisson random variables from degenerate special polynomials

Mathematical and Computer Modelling of Dynamical Systems
In this paper, we investigate the theory and applications of negative λ-binomial random variable with parameter [Formula: see text] and Poisson random variable with parameter [Formula: see text].
Jongkyum Kwon, Sangbeom Park, Jin-Woo Park   +2 more
doaj   +1 more source

Some identities of polyexponential and unipoly derangement polynomials

Mathematical and Computer Modelling of Dynamical Systems
In this paper, we introduce the poly-derangement polynomials and unipoly-derangement polynomials, and investigate their fundamental properties. In addition, we explore the relationships between these polynomials and numbers and the Stirling numbers of ...
Jongkyum Kwon, Sangbeom Park, Sang Jo Yun, Jin-Woo Park   +3 more
doaj   +1 more source

Word Bell polynomials

, 2017
Multivariate partial Bell polynomials have been dened by E.T. Bell in 1934. These polynomials have numerous applications in Combinatorics, Analysis, Algebra , Probabilities, etc. Many of the formulas on Bell polynomials involve combinatorial objects (set partitions, set partitions into lists, permutations, etc.).
Aboud, Ammar, Bultel, Jean-Paul, Chouria, Ali, Luque, Jean-Gabriel, Mallet, Olivier   +4 more
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Study of the soliton propagation of the fractional nonlinear type evolution equation through a novel technique. [PDF]

PLoS One, 2023
Zaman UHM, Arefin MA, Akbar MA, Uddin MH.   +3 more
europepmc   +1 more source

Asymptotic distribution of the Betti numbers of [Formula: see text]. [PDF]

Proc Natl Acad Sci U S A
Choi J, Kiem YH.
europepmc   +1 more source

Rényi Entropies of Multidimensional Oscillator and Hydrogenic Systems with Applications to Highly Excited Rydberg States. [PDF]

Entropy (Basel), 2022
Dehesa JS.
europepmc   +1 more source