Results 11 to 20 of about 1,596 (244)

Special values of the Bell polynomials of the second kind for some sequences and functions [PDF]

Journal of Mathematical Analysis and Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Qi, Da-Wei Niu, Yonghong Yao
exaly   +3 more sources

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   +3 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   +4 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   +4 more sources

Several Characterizations of Δh-Doped Special Polynomials Associated with Appell Sequences

Symmetry, 2023
The study presented in this paper follows the line of research created by the fact that by employing the monomiality principle, new outcomes are produced. This article deals with the inducement of Δh tangent-based Appell polynomials and derivation of certain of its characterizations such as explicit form, determinant form, monomiality principle, etc ...
Shahid Ahmad Wani
exaly   +2 more sources

Properties of certain new special polynomials associated with Sheffer sequences [PDF]

Tbilisi Mathematical Journal, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nusrat Raza, Subuhi Khan, Mahvish Ali
exaly   +4 more sources

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   +2 more sources

Finding mixed families of special polynomials associated with Appell sequences

Journal of Mathematical Analysis and Applications, 2017
In this paper, certain mixed special polynomial families associated with Appell sequences are introduced and their properties are established. Further, operational rules providing connections between these families and the known special polynomials are established, which are used to derive the identities and results for the members of these new ...
Subuhi Khan, Nusrat Raza, Mahvish Ali
exaly   +3 more sources

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   +3 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