Results 1 to 10 of about 1,278 (205)

Investigating the properties and diverse applications of special polynomials linked to Appell sequences

Boletim da Sociedade Paranaense de Matemática
This paper presents a study that builds upon existing research by generating novel results by applying the monomiality principle. The primary focus of this work is the construction and analysis of Tangent-based Appell polynomials, with a detailed exploration of their properties, including their explicit and determinant forms, as well as their ...
Shahid Ahmad Wani, Taghreed Alqurashi, William Ramírez, Clemente Cesarano, Maria-Fernanda Heredia-Moyano   +4 more
openaire   +1 more source

An Improved Multi-Chaotic Public Key Algorithm Based on Chebyshev Polynomials

Algorithms
Due to the similar characteristics of chaotic systems and cryptography, public key encryption algorithms based on chaotic systems are worth in-depth research and have high value for the future.
Chunfu Zhang, Jing Bai, Yanchun Liang, Adriano Tavares, Lidong Wang, Tiago Gomes, Sandro Pinto   +6 more
doaj   +1 more source

Regular sequences of power sums and complete symmetric polynomials

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  

Going Next after “A Guide to Special Functions in Fractional Calculus”: A Discussion Survey

Mathematics
In the survey Kiryakova: “A Guide to Special Functions in Fractional Calculus” (published in this same journal in 2021) we proposed an overview of this huge class of special functions, including the Fox H-functions, the Fox–Wright generalized ...
Virginia Kiryakova, Jordanka Paneva-Konovska   +1 more
doaj   +1 more source

Horadam-Lagrange Interpolation Polynomials: Construction, Recurrence Relations, and Connections to Special Number Sequences

Electronic Journal of Applied Mathematics
This study investigates the construction of polynomials of at most degree \(n\) using the first \(n+1\) terms of the Horadam sequence through Lagrange interpolation. The paper provides a comprehensive analysis of the recurrence relations and fundamental identities associated with the Horadam-Lagrange Interpolation Polynomials.
openaire   +2 more sources

Some arithmetic properties of a special sequence of polynomials

Duke Mathematical Journal, 1959
openaire   +3 more sources

Asymptotics of Symmetric Polynomials: A Dynamical Point of View. [PDF]

Commun Math Phys
Guionnet A, Huang J.
europepmc   +1 more source

A positivity conjecture for a quotient of <i>q</i>-binomial coefficients. [PDF]

Ramanujan J
Gatzweiler M, Krattenthaler C.
europepmc   +1 more source

Some arithmetic properties of a special sequence of polynomials in the Gaussian field

Duke Mathematical Journal, 1963
openaire   +3 more sources

Quadratic Subproduct Systems, Free Products, and Their C*-Algebras. [PDF]

Integr Equ Oper Theory
Arici F, Ge Y.
europepmc   +1 more source