Results 101 to 110 of about 535,269 (286)

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

Century‐scale effect of climate change on meteorite falls

Meteoritics &Planetary Science, Volume 60, Issue 10, Page 2458-2468, October 2025.
Abstract Climate change is inducing a global atmospheric contraction above the tropopause (~10 km), leading to systematic decrease in neutral air density. The impact of climate change on small meteoroids has already been observed over the last two decades, with documented shifts in their ablation altitudes in the mesosphere (~50–85 km) and lower ...
Eloy Peña‐Asensio, Denis Vida, Ingrid Cnossen, Esteban Ferrer   +3 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

A distributed model predictive approach for network traffic signal control using multi‐objective dynamic programming

Computer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 24, Page 3953-3978, 6 October 2025.
Abstract Real‐time traffic signal control (TSC) in road networks remains challenging due to variable traffic flows and high computational complexity. Existing model predictive control (MPC) approaches often face several limitations, including the reliance on commercial solvers, the inflexibility of single‐objective optimization, and the use of ...
Lyuzhou Luo, Chaopeng Tan, Keshuang Tang, Hong Zhu   +3 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

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

On real and imaginary roots of generalised Okamoto polynomials

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract Recently, B. Yang and J. Yang derived a family of rational solutions to the Sasa–Satsuma equation, and showed that any of its members constitutes a partial‐rogue wave provided that an associated generalised Okamoto polynomial has no real roots or no imaginary roots.
Pieter Roffelsen, Alexander Stokes
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

Modified Bernstein Polynomials and Jacobi Polynomials in q-Calculus

, 2004
We introduce here a generalization of the modified Bernstein polynomials for Jacobi weights using the $q$-Bernstein basis proposed by G.M. Phillips to generalize classical Bernstein Polynomials.
Derriennic, Marie-Madeleine
core   +3 more sources

Jacobi polynomials method for a coupled system of Hadamard fractional Klein–Gordon–Schrödinger equations

Alexandria Engineering Journal
In this work, the Caputo-type Hadamard fractional derivative is utilized to introduce a coupled system of time fractional Klein–Gordon-Schrödinger equations.
M.H. Heydari, M. Razzaghi
doaj   +1 more source