Results 91 to 100 of about 13,122 (219)

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

(h−m) $(h-m)$-convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag-Leffler function

Journal of Inequalities and Applications, 2019
The aim of this paper is to present the Hadamard and the Fejér–Hadamard integral inequalities for (h−m) $(h-m)$-convex functions due to an extended generalized Mittag-Leffler function.
Shin Min Kang, Ghulam Farid, Waqas Nazeer, Sajid Mehmood   +3 more
doaj   +1 more source

Numerical Computation of the Rosenblatt Distribution and Applications

Stat, Volume 14, Issue 4, December 2025.
ABSTRACT The Rosenblatt distribution plays a key role in the limit theorems for non‐linear functionals of stationary Gaussian processes with long‐range dependence. We derive new expressions for the characteristic function of the Rosenblatt distribution.
Nikolai N. Leonenko, Andrey Pepelyshev
wiley   +1 more source

Character sum, reciprocity, and Voronoi formula

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3797-3823, December 2025.
Abstract We prove a novel four‐variable character sum identity that serves as a twisted, non‐Archimedean analog of Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we provide a short spectral proof of the Voronoi formulae for classical modular forms with character twists.
Chung‐Hang Kwan, Wing Hong Leung
wiley   +1 more source

Oscillatory integrals for Mittag-Leffler functions with two variables

Comptes Rendus. Mathématique
In this paper we consider the problem of estimation of oscillatory integrals with Mittag-Leffler functions in two variables. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory type ...
Ikromov, Isroil A., Ruzhansky, Michael, Safarov, Akbar R.   +2 more
doaj   +1 more source

On the deep‐water and shallow‐water limits of the intermediate long wave equation from a statistical viewpoint

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley   +1 more source

Parametrized stability and the universal property of global spectra

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We develop a framework of parametrized semiadditivity and stability with respect to so‐called atomic orbital subcategories of an indexing ∞$\infty$‐category T$T$, extending work of Nardin. Specializing this framework, we introduce global ∞$\infty$‐categories and the notions of equivariant semiadditivity and stability, yielding a higher ...
Bastiaan Cnossen, Tobias Lenz, Sil Linskens   +2 more
wiley   +1 more source

Certain unified integral formulas involving five-parameter Mittag-Leffler function

International Journal of Mathematics for Industry
In this work, we propose some unified integral representations for the five-parameter Mittag-Leffler function, and our findings are evaluated in terms of various generalized special functions.
Ankit Pal, Vinod Kumar Jatav, Udai Kumar
doaj   +1 more source

Mittag-Leffler functions and complete monotonicity [PDF]

Integral Transforms and Special Functions, 2014
One ...
openaire   +2 more sources

Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform

MANAS: Journal of Engineering
The generalized pathway fractional integral formulas for the newly extended multiindex Mittag-Leffler function defined by using two Fox-Wright functions as its kernel is studied.
Enes Ata, Muhammad Kaurangini, Umar Muhammad Abubakar   +2 more
doaj   +1 more source