Results 11 to 20 of about 1,913 (217)

Certain Properties and Applications of Δ_h Hybrid Special Polynomials Associated with Appell Sequences

Fractal and Fractional, 2023
The development of certain aspects of special polynomials in line with the monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable. The study presented in this paper follows this line of research.
Rabab Alyusof, Shahid Ahmmad Wani
doaj   +2 more sources

A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types

Mathematics, 2019
We study some properties of Sheffer sequences for some special polynomials with complex Changhee and Daehee polynomials introducing their complex versions of the polynomials and splitting them into real and imaginary parts using trigonometric polynomial ...
Dojin Kim
doaj   +2 more sources

Exploring probabilistic Bernstein polynomials: identities and applications [PDF]

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   +2 more sources

Several Goethals–Seidel Sequences with Special Structures

Mathematics
In this paper, we develop a novel method to construct Goethals–Seidel (GS) sequences with special structures. In the existing methods, utilizing Turyn sequences is an effective and convenient approach; however, this method cannot cover all GS sequences ...
Shuhui Shen, Xiaojun Zhang
doaj   +2 more sources

Investigating Multidimensional Degenerate Hybrid Special Polynomials and Their Connection to Appell Sequences: Properties and Applications

Axioms
This paper explores the operational principles and monomiality principles that significantly shape the development of various special polynomial families.
Awatif Muflih Alqahtani, Saleem Yousuf, Shahid Ahmad Wani, Roberto S. Costas-Santos   +3 more
doaj   +3 more sources

Regular sequences of power sums and complete symmetric polynomials [PDF]

Le Matematiche, 2012
In this article, we carry out the investigation for regular sequences of symmetric polynomials in the polynomial ring in three and four variable. Any two power sum element in C[x_1, x_2, . . .
Neeraj Kumar, Ivan Martino
doaj   +3 more sources

Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]

, 2002
In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Qi, Feng, Luo, Qiu-Ming
core   +6 more sources

Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae

Mathematics, 2021
The goal of this paper is to derive Hermite–Hadamard–Fejér-type inequalities for higher-order convex functions and a general three-point integral formula involving harmonic sequences of polynomials and w-harmonic sequences of functions. In special cases,
Mihaela Ribičić Penava
doaj   +1 more source

Study of degenerate derangement polynomials by λ-umbral calculus

Demonstratio Mathematica, 2023
In the 1970s, Rota began to build completely rigid foundations for the theory of umbral calculus based on relatively modern ideas of linear functions and linear operators.
Yun Sang Jo, Park Jin-Woo
doaj   +1 more source

New asymptotic expansions on hyperfactorial functions

Comptes Rendus. Mathématique, 2021
In this paper, by using the Bernoulli numbers and the exponential complete Bell polynomials, we establish four general asymptotic expansions for the hyperfactorial functions $\prod _{k=1}^n {k^{k^q}}$, which have only odd power terms or even power terms.
Xu, Jianjun
doaj   +1 more source