Results 101 to 110 of about 538,632 (288)

On Saigo Fractional $q$-Calculus of a General Class of $q$-Polynomials [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we derive Saigo fractional $q$-integrals of the general class of $q$-polynomials and demonstrate their application by investigating $q$-Konhouser biorthogonal polynomial,  $q$-Jacobi polynomials and basic analogue of the Kamp$\acute{e}$ de
Biniyam Shimelis, Dayalal Suthar
doaj   +1 more source

Multiple Wilson and Jacobi–Piñeiro polynomials

Journal of Approximation Theory, 2005
22 pages, 2 ...
Beckermann, B., Coussement, J., Van Assche, W.   +2 more
openaire   +3 more sources

An Optimized Block Hybrid Spectral Simple Iteration Methods for Solving Nonlinear Evolution Equations

International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.
ABSTRACT This study presents a new optimized block hybrid method and spectral simple iteration method (OBHM‐SSIM) for solving nonlinear evolution equations. In this method, we employed a combination of the spectral collocation method in space and the optimized block hybrid method in time, along with a simple iteration scheme to linearize the equations.
Salma Ahmedai, Precious Sibanda, Sandile Motsa, Sicelo Goqo, Osman A. I. Noreldin   +4 more
wiley   +1 more source

Riemann–Liouville Operator in Weighted L_p Spaces via the Jacobi Series Expansion

Axioms, 2019
In this paper, we use the orthogonal system of the Jacobi polynomials as a tool to study the Riemann−Liouville fractional integral and derivative operators on a compact of the real axis.
Maksim V. Kukushkin
doaj   +1 more source

Molecular Orientation and Structure Formation of BOPHY Chromophores in Langmuir Films: A Combined Experimental and Theoretical Study

Advanced Materials Interfaces, Volume 12, Issue 24, December 22, 2025.
The orientation and organization of an amphiphilic BOPHY dye in Langmuir monolayers are investigated using in situ XRR, GIXD, and MD simulations. Two condensed phases are identified: alkyl chains govern packing density, while chromophores remain locally ordered.
Maximilian L. Hupfer, Richard Jacobi, Philipp Fischer, Anna Elmanova, Sarah Jasmin Finkelmeyer, Wim Dehaen, Philippe Fontaine, Leticia González, Martin Presselt   +8 more
wiley   +1 more source

A new family of orthogonal polynomials in three variables

Journal of Inequalities and Applications, 2020
In this paper we introduce a six-parameter generalization of the four-parameter three-variable polynomials on the simplex and we investigate the properties of these polynomials.
Rabia Aktaş, Iván Area, Esra Güldoğan   +2 more
doaj   +1 more source

An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems

Advances in Differential Equations, 2015
In this article, we introduce a numerical technique for solving a general form of the fractional optimal control problem. Fractional derivatives are described in the Caputo sense.
E. H. Doha, A. Bhrawy, D. Baleanu, S. Ezz‐Eldien, R. Hafez   +4 more
semanticscholar   +1 more source

Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2247-2304, December 2025.
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun, Seong‐Mi Seo, Meng Yang   +2 more
wiley   +1 more source

Supercritical Pitchfork Bifurcation of a Fractional‐Order Doubly‐Fed Induction Generator

Energy Science &Engineering, Volume 13, Issue 12, Page 5970-5987, December 2025.
ABSTRACT To address the problem of the chaos phenomenon caused by the parameter drift of a doubly‐fed induction generator (DFIG) due to a changing operating environment, a fractional‐order stator voltage/flux‐oriented control model is developed, and bifurcation theory and numerical simulations reveal that the chaos mechanism originates from ...
Wei Chen, Zhongli Chen, Zhanhong Wei, Jiangtao Li, Jie Lin   +4 more
wiley   +1 more source

Integral representations for the product of certain polynomials of two variables

Ain Shams Engineering Journal, 2013
The main object of this paper is to investigate several integral representations for the product of two polynomials of two variables, e.g. Laguerre, Jacobi, Generalized Bessel, Generalized Rice, Krawtchouk, Meixner, Gottlieb and Poisson–Charlier ...
Mumtaz Ahmad Khan, Abdul Hakim Khan, Sayed Mohammad Abbas   +2 more
doaj   +1 more source