Results 41 to 50 of about 5,151,543 (91)
Quantitative asymptotics for polynomial patterns in the primes
Mathematika, Volume 72, Issue 3, July 2026.Abstract We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions n+P1(m),…,n+Pk(m)$n+P_1(m),\ldots, n+P_k(m)$ for a large class of polynomials Pi$P_i$. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term.
Lilian Matthiesen +2 more
wiley +1 more source
Engineering Reports, Volume 8, Issue 6, June 2026.Graphical abstract of the (q,τ)$$ \left(q,\tau \right) $$‐deformed kernel framework for quantum‐inspired learning and biomedical signal analysis ABSTRACT This paper introduces a weighted (q,τ)$$ \left(q,\tau \right) $$‐deformed Gram matrix framework for quantum‐inspired learning systems, with particular emphasis on applications in biomedical signal ...
Rabha W. Ibrahim +2 more
wiley +1 more source
Food Science &Nutrition, Volume 14, Issue 6, June 2026.This study explores a zero‐waste circular economy approach by utilizing industrial tomato pomace as a functional ingredient in cracker production. To prepare the raw material, the drying kinetics of tomato pomace were thoroughly investigated using convective oven drying (50°C–70°C) and microwave drying (240–400 W).
Tolga Kağan Tepe, Fadime Begüm Tepe
wiley +1 more source
Rational Approximations for Oscillatory Two-Parameter Mittag-Leffler Function [PDF]
, 2023 The two-parameter Mittag-Leffler function $E_{\alpha, \beta}$ is of fundamental importance in fractional calculus. It appears frequently in the solutions of fractional differential and integral equations.
Furati, Khaled M. +3 more
core +1 more source
Numerical Modeling of Inertial Particles in Three‐Dimensional Fluid Flow
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The motion of inertial particles in a fluid is modeled by the Maxey–Riley–Gatignol equation (MaRGE). The MaRGE contains an integral term that arises due to the viscous diffusion of vorticity in the fluid around the particle. Because it makes MaRGE difficult to solve numerically, the integral term is often neglected or approximated, despite its
Vamika Rathi, Daniel Ruprecht
wiley +1 more source
Infinity‐operadic foundations for embedding calculus
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley +1 more source
3D investigation and modeling of the geometric effects on porosity in packed beds
AIChE Journal, Volume 72, Issue 5, May 2026.Abstract In porous beds, physical boundaries restrict particle arrangement, leading to inhomogeneous porosity. This paper reports on the porosity profiles that are the result of geometric effects on monodisperse packed beds in cylindrical and cubic arrangements. Special focus is given to the influence of edges and corners in cubic geometries.
Bastian Oldach +3 more
wiley +1 more source
Why the Mittag-Leffler Function Can Be Considered the Queen Function of the Fractional Calculus?
, 2020 In this survey we stress the importance of the higher transcendental Mittag-Leffler function in the framework of the Fractional Calculus. We first start with the analytical properties of the classical Mittag-Leffler function as derived from being the ...
Francesco Mainardi
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Time fractional Yang-Abdel-Cattani derivative in generalized MHD Casson fluid flow with heat source and chemical reaction. [PDF]
Sci Rep, 2023 Sehra, Sadia H, Haq SU, Khan I.
europepmc +1 more source
, 2021 In this paper, a beta operator is used with Caputo Marichev-Saigo-Maeda (MSM) fractional differentiation of extended Mittag-Leffler function in terms of beta function.
Tayyaba Manzoor +3 more
core +1 more source