Results 81 to 90 of about 263,554 (202)

Gegenbauer Polynomial Convolution for Bi-Univalent Functions with Applications to Image Enhancement

In this paper, we define a new subclass of bi-univalent functions by using convolution and Gegenbauer polynomials. We obtain the initial coefficient bounds and the Fekete-Szegö inequalities for functions belonging to this subclass.
V. SIVASANKARI, O. KARTHIYAYINI, TARAL D SHAH   +2 more
core   +1 more source

Solution of polynomial Lyapunov and Sylvester equations

, 2006
A two-variable polynomial approach to solve the one-variable polynomial Lyapunov and Sylvester equations is proposed. Lifting the problem from the one-variable to the two-variable context gives rise to associated lifted equations which live on finite ...
Peeters, Ralf, Rapisarda, Paolo
core   +1 more source

Characterization of (c)-Riordan arrays, Gegenbauer-Humbert-type Polynomial Sequences, and (c)-Bell Polynomials

, 2013
Here presented are the definitions of (c)-Riordan arrays and (c)-Bell polynomials which are extensions of the classical Riordan arrays and Bell polynomials.
Gould, Henry, He, Tian-Xiao
core  

Matrix-valued Gegenbauer polynomials

, 2014
25 pages, accompanying Maple worksheet available at http://www.math.ru.nl/~koelink/publist-ro.html. Proofs have been simplified by exploiting shift operators extensively. The proofs of the symmetry of some matrix-valued differential operators have been simplified using the LDU-decomposition of the weight. The proof of the matrix-valued Pearson equation
Koelink, Erik, Rios, Ana M. de los, Roman, Pablo   +2 more
openaire   +2 more sources

On the derivatives of generalized Gegenbauer polynomials

, 2002
3 pages, no figures; submitted to Theor.
García Fuertes, Wifredo, Perelomov, Askold M.   +1 more
openaire   +3 more sources

Circular Bernstein polynomial distributions [PDF]

This paper introduces a new non-parametric approach to the modeling of circular data, based on the use of Bernstein polynomial densities which generalizes the standard Bernstein polynomial model to account for the specific characteristics of circular ...
José Antonio Carnicero, Michael P. Wiper, Concepción Ausín   +2 more
core  

Polynomial Poisson algebras: Gel'fand-Kirillov problem and Poisson spectra [PDF]

, 2014
We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we investigate a Poisson birational equivalence problem for polynomial Poisson algebras over a field of arbitrary characteristic.
Lecoutre, César
core  

Fourier restriction to polynomial curves I: a geometric inequality [PDF]

, 2010
We prove a Fourier restriction result for general polynomial curves in Rd. Measuring the Fourier restriction with respect to the affine arclength measure of the curve, we obtain a universal estimate for the class of all polynomial curves of bounded ...
Wright, James, Wright, J., null Spyridon Dendrinos, null James Wright, Dendrinos, Spyridon, Dendrinos, S.   +5 more
core   +1 more source

A NEW EXTENSIONS OF GEGENBAUER POLYNOMIALS

مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The main aim of this paper is to introduce new extensions of Gegenbauer polynomials of one and two variables by using the extended Gamma function given by Chaudhry and Zubair [3]. Some properties of these extended polynomials such as generating functions, integral representations, and Mellin transform are ...
Ahmed Ali Atash, Ahmed Ali Al-Gonah
openaire   +1 more source

Summed Series Involving ₁F₂ Hypergeometric Functions

Mathematics
Summation of infinite series has played a significant role in a broad range of problems in the physical sciences and is of interest in a purely mathematical context.
Jack C. Straton
doaj   +1 more source