Results 61 to 70 of about 696 (218)
Advances in Difference Equations, 2019 The classical linearization problem concerns with determining the coefficients in the expansion of the product of two polynomials in terms of any given sequence of polynomials.
Taekyun Kim +3 more
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Bi‐Starlike Function of Complex Order Involving Rabotnov Function Associated With Telephone Numbers
Journal of Mathematics, Volume 2025, Issue 1, 2025.Telephone numbers defined through the recurrence relation Qn=Qn−1+n−1Qn−2 for n ≥ 2, with initial values of Q0=Q1=1. The study of such numbers has led to the establishment of various classes of analytic functions associated with them. In this paper, we establish two new subclasses of bi‐convex and bi‐starlike functions of complex order in the open unit
Sa’ud Al-Sa’di +3 more
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AIMS MathematicsGegenbauer polynomials hold a significant role in the constructive theory of spherical functions, while the Mittag-Leffler function is widely used in fractional calculus.
Mohra Zayed +2 more
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Generalized Gegenbauer orthogonal polynomials
Journal of Computational and Applied Mathematics, 2001 The aim of the author is to give a characterization of the so-called generalized Gegenbauer polynomials. He first shows the link between this functions and the classical Jacobi polynomials. Then he establishes both a differential-difference and a second order differential equation satisfied by these generalized polynomials.
openaire +2 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 +2 more
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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
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AIMS MathematicsThis research paper focused on the solution of systems of fractional integro-differential equations (FIDEs) of the Volterra type with variable coefficients. The proposed approach combined the tau method and shifted Gegenbauer polynomials in a matrix form.
Khadijeh Sadri +4 more
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Momentum-space conformal blocks on the light cone
Journal of High Energy Physics, 2018 We study the momentum-space 4-point correlation function of identical scalar operators in conformal field theory. Working specifically with null momenta, we show that its imaginary part admits an expansion in conformal blocks.
Marc Gillioz
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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
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Modified wavelets–based algorithm for nonlinear delay differential equations of fractional order
Advances in Mechanical Engineering, 2017 Most of the physical phenomena located around us are nonlinear in nature and their solutions are of great significance for scientists and engineers. In order to have a better representation of these physical phenomena, fractional calculus is developed ...
Muhammad Asad Iqbal +3 more
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