Results 21 to 30 of about 117,133 (133)

Construction of a new family of Fubini-type polynomials and its applications [PDF]

open access: yesAdvances in Difference Equations, 2021
This paper gives an overview of systematic and analytic approach of operational technique involves to study multi-variable special functions significant in both mathematical and applied framework and to introduce new families of special polynomials ...
H. M. Srivastava   +5 more
doaj   +2 more sources

Symmetric Identities Involving the Extended Degenerate Central Fubini Polynomials Arising from the Fermionic p-Adic Integral on ℤp

open access: yesAxioms
Since the constructions of p-adic q-integrals, these integrals as well as particular cases have been used not only as integral representations of many special functions, polynomials, and numbers, but they also allow for deep examinations of many families
Maryam Salem Alatawi   +2 more
doaj   +2 more sources

A combinatorial characterization of the generalized exponential and Fubini polynomials

open access: yesOnline Journal of Analytic Combinatorics, 2021
In this paper, we show that the generalized exponential polynomials and the generalized Fubini polynomials satisfy certain binomial identities and that these identities characterize the mentioned polynomials (up to an affine transformation of the ...
E. Munarini
core   +4 more sources

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   +2 more sources

Families of unified and modified presentation of Fubini numbers and polynomials [PDF]

open access: yes, 2023
The goal of this paper is to define new families of unified and modified presentation of the Fubini numbers and polynomials with their generating functions.
Kilar, Neslihan, Simsek, Yilmaz
core   +3 more sources

On Generalized Class of Bell Polynomials Associated with Geometric Applications

open access: yesAxioms
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
Rashad A. Al-Jawfi   +2 more
doaj   +2 more sources

New Proof of the Property of Stirling Number Based on Fubini Polynomials

open access: yesJournal of Mathematics
The main purpose of this article is using the elementary methods and the properties of the Fubini polynomials to study the congruence properties of a signless Stirling number of the first kind and solve a conjecture proposed by J. H. Zhao and Z. Y. Chen.
Li Wang, Xiaoge Liu
doaj   +2 more sources

On central Fubini-like numbers and polynomials [PDF]

open access: yesMiskolc Mathematical Notes, 2021
We introduce the central Fubini-like numbers and polynomials using Rota approach. Several identities and properties are established as generating functions, recurrences, explicit formulas, parity, asymptotics and determinantal representation.
Belbachir, Hacéne, Djemmada, Yahia
openaire   +3 more sources

On degenerate generalized Fubini polynomials

open access: yesAIMS Mathematics, 2022
The n-th Fubini number counts the number of ordered partitions of a set with n elements and is the number of possible ways to write the Fubini formula for a summation of integration of order n. Further, Fubini polynomials are natural extensions of the Fubini numbers.
Taekyun Kim   +3 more
openaire   +2 more sources

New family of special numbers associated with finite operator [PDF]

open access: yesMathematica Moravica, 2020
Using the notion of the generating function of a function, we define an operator with whom we manage to build a large family of numbers and polynomials. This technique permits to give the closed formulae and interesting combinatorial identities.
Goubi Mouloud
doaj   +1 more source

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