Results 61 to 70 of about 181 (123)

Exploring a Novel Family of Appell Polynomials Associated with Gould–Hopper–Fubini Polynomials

open access: yesMathematics
In this paper, we establish a new hybrid class of special polynomials, the Gould–Hopper–Fubini-based Appell polynomials. Using the monomiality principle, we derive their generating function and explore related properties and identities.
F. Gassem   +6 more
doaj   +1 more source

A standardization procedure to incorporate variance partitioning‐based priors in latent Gaussian models

open access: yesScandinavian Journal of Statistics, Volume 53, Issue 1, Page 364-394, March 2026.
ABSTRACT Latent Gaussian models (LGMs) are a subset of Bayesian Hierarchical models where Gaussian priors, conditional on variance parameters, are assigned to all effects in the model. LGMs are employed in many fields for their flexibility and computational efficiency. However, practitioners find prior elicitation on the variance parameters challenging
Luisa Ferrari, Massimo Ventrucci
wiley   +1 more source

Generalized Fubini transform with two variables

open access: yes, 2022
In the present paper, we define the generalized Kwang-Wu Chen matrix. Basic properties of this generalization, such as explicit formulas and generating functions are presented. Moreover, we focus on a new class of generalized Fubini polynomials.
Guettai, Ghania   +3 more
core   +1 more source

On a generalization of derangement polynomials and numbers

open access: yesDemonstratio Mathematica
In T. Kim, D. S. Kim, and D. V. Dolgy, Probabilistic derangement numbers and polynomials, Math. Comput. Model. Dyn. Syst. 31 (2025), no. 1, 2529188, Kim-Kim defined the probabilistic derangement polynomials and numbers and found some properties of those ...
Yun Sang Jo, Park Jin-Woo
doaj   +1 more source

A New Sequence and Its Some Congruence Properties

open access: yes, 2018
The aim of this paper is to study the congruence properties of a new sequence, which is closely related to Fubini polynomials and Euler numbers, using the elementary method and the properties of the second kind Stirling numbers.
Xin Lin, Wenpeng Zhang
core   +1 more source

On bivariate Fibonacci-Fubini polynomials

open access: yesFilomat
Recently, Fibonacci extensions of several special polynomials, such as Fibonacci-Hermite, Fibonacci-Euler, Fibonacci-Genocchi, Fibonacci-Bernoulli, and Fibonacci-Bernstein polynomials, have been considered, and diverse of their properties and relations have been thoroughly analyzed using the content of Golden calculus.
openaire   +1 more source

A parametric kind of Fubini-Fibonacci polynomials and their generalizations

open access: yesBoletim da Sociedade Paranaense de Matemática
In this paper, we introduce bivariate kind of three-variable Fubini-Fibonacci polynomials and their associated numbers within the approach of Golden F- Calculus. Utilizing generating functions, we derive several fundamental properties, including summation theorems, recurrence relations, symmetry properties, and F-derivative identities.
Waseem Ahmad Khan, Manoj Sharma
openaire   +1 more source

Some Identities of the Probabilistic Changhee Polynomials and Their Applications

open access: yesJournal of Mathematics
Special numbers and polynomials are very important tools in diverse fields such as mathematics, physics, engineering, science, and related disciplines, addressing problems in areas like mathematical physics, numerical analysis, differential equations ...
Jin-Woo Park   +3 more
doaj   +1 more source

A Note on Degenerate Hermite-Fubini Numbers and Polynomials

open access: yes, 2019
In this paper, we introduce a new class of degenerate Hermite-Fubini numbers and polynomials and investigate some properties of these polynomials. We establish summation formulas of these polynomials by summation techniques series. Furthermore, we derive symmetric identities of degenerate Hermite-Fubini numbers and polynomials by using generating ...
Waseem A. Khan   +2 more
openaire   +2 more sources

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