Results 81 to 90 of about 4,376 (199)

Coefficient estimates and Fekete-Szegö functional for subclasses of bi-univalent functions with respect to symmetric points associated with Gegenbauer polynomials [PDF]

Mathematica Bohemica
In the present article, the authors introduce two new subclasses of holomorphic and bi-univalent functions with respect to the symmetric points defined in the domain of open unit disk $\Delta:=\{z \in\mathbb{C} |z|<1\}$ by making use of subordination
Trailokya Panigrahi, Eureka Pattnayak, Rabha Mohamed El-Ashwah   +2 more
doaj   +1 more source

Equilibria of `Discrete' Integrable Systems and Deformations of Classical Orthogonal Polynomials

, 2004
The Ruijsenaars-Schneider systems are `discrete' version of the Calogero-Moser (C-M) systems in the sense that the momentum operator p appears in the Hamiltonians as a polynomial in e^{\pm\beta' p} (\beta' is a deformation parameter) instead of an ...
Andrews G E, Awata H, Bordner A J, Calogero F, Calogero F, Calogero F, Calogero F, Chihara T S, Corrigan E, Jing S Yang W, Khastgir S P, Koekoek R Swarttouw R F, M Ruijsenaars S N, Macdonald I G, Mimachi K, Moser J, Moser J, Odake S, R Sasaki, Ragnisco O, S Odake, Sasaki R, Shiraishi J, Stanley R P, Sutherland B, Szegö G, van Diejen J F, van Diejen J F, van Diejen J F, van Diejen J F   +29 more
core   +3 more sources

Continuous −1$-1$ hypergeometric orthogonal polynomials

Studies in Applied Mathematics, Volume 153, Issue 3, October 2024.
Abstract The study of −1$-1$ orthogonal polynomials viewed as q→−1$q\rightarrow -1$ limits of the q$q$‐orthogonal polynomials is pursued. This paper presents the continuous polynomials part of the −1$-1$ analog of the q$q$‐Askey scheme. A compendium of the properties of all the continuous −1$-1$ hypergeometric polynomials and their connections is ...
Jonathan Pelletier, Luc Vinet, Alexei Zhedanov   +2 more
wiley   +1 more source

A note on the squarefree density of polynomials

Mathematika, Volume 70, Issue 4, October 2024.
Abstract The conjectured squarefree density of an integral polynomial P$\mathcal {P}$ in s$s$ variables is an Euler product SP$\mathfrak {S}_{\mathcal {P}}$ which can be considered as a product of local densities. We show that a necessary and sufficient condition for SP$\mathfrak {S}_{\mathcal {P}}$ to be 0 when P∈Z(X1,…,Xs)$\mathcal {P}\in \mathbb {Z}(
R. C. Vaughan, Yu. G. Zarhin
wiley   +1 more source

Free convective Darcy flow induced by a temperature gradient in a hemispherical porous medium

Alexandria Engineering Journal, 2018
Assuming the validity of the Darcy model, the steady-state development of the flow and heat transfer induced by a temperature gradient in a hemispherical porous medium with a free surface is investigated using a semi-analytical method.
R. Ganapathy, A. Mohan
doaj   +1 more source

Noise‐Tailored Constructions for Spin Wigner Function Kernels

Advanced Physics Research, Volume 3, Issue 6, June 2024.
This work explores the parameterization of spin Wigner functions to efficiently represent the effects of probabilistic unitary noise on a quantum state. Block diagonalization of the noise operator algebra is used to reduce the required number of parameters while maintaining the Stratonovich–Weyl conditions for the representation.
Michael Hanks, Soovin Lee, M.S. Kim
wiley   +1 more source

A Non‐Standard Coupling Between Quantum Systems Originated From Their Kinetic Energy

Annalen der Physik, Volume 536, Issue 3, March 2024.
A novel approach to quantum coupling is introduced, departing from the conventional potential‐based interaction in standard quantum mechanics. Within this framework, a quantum coupling emerges from the inherent kinetic energy of particles. This unorthodox coupling results in the transformation of quantum mechanics' fundamental landscape through the ...
Tomer Shushi
wiley   +1 more source

A Convergent Legendre Spectral Collocation Method for the Variable‐Order Fractional‐Functional Optimal Control Problems

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this paper, a numerical method is applied to approximate the solution of variable‐order fractional‐functional optimal control problems. The variable‐order fractional derivative is described in the type III Caputo sense. The technique of approximating the optimal solution of the problem using Lagrange interpolating polynomials is employed by ...
Zahra Pirouzeh, Mohammad Hadi Noori Skandari, Kameleh Nassiri Pirbazari, Ammar Alsinai   +3 more
wiley   +1 more source

Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This study defines three novel classes of bi‐univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients |a2| and |a3| and Fekete–Szegö functional problems for functions involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, Sunil Dutt Purohit, Shyamsunder, Daya Lal Suthar, Ming-Sheng Liu   +5 more
wiley   +1 more source

Optimal Control of a Parabolic Distributed Parameter System Using a Barycentric Shifted Gegenbauer Pseudospectral Method

, 2016
In this paper, we introduce a novel pseudospectral method for the numerical solution of optimal control problems governed by a parabolic distributed parameter system.
Elgindy, Kareem T.
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