Results 51 to 60 of about 5,395,506 (201)

On certain properties and expansions of zeta matrix function, digamma matrix function and polygamma matrix function

, 2020
We introduce the generalized zeta matrix function, digamma matrix function and polygamma matrix function. We obtain the regions of convergence of these matrix functions, some recurrence relations and their integral representations.
Sahai, Vivek, Dwivedi, Ravi
core  

Certain Geometric Study Involving the Barnes–Mittag-Leffler Function

Fractal and Fractional
The main purpose of this paper is to study certain geometric properties of a class of analytic functions involving the Barnes–Mittag-Leffler function. The main mathematical tools are the monotonicity patterns of some class of functions associated with ...
Abdulaziz Alenazi, Khaled Mehrez
doaj   +1 more source

The asymptotic Mahler measure of Gaussian periods

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen, David Hokken, Berend Ringeling   +2 more
wiley   +1 more source

Time‐Varying Dispersion Integer‐Valued GARCH Models

Journal of Time Series Analysis, Volume 47, Issue 4, Page 839-853, July 2026.
ABSTRACT We introduce a general class of INteger‐valued Generalized AutoRegressive Conditionally Heteroscedastic (INGARCH) processes by allowing simultaneously time‐varying mean and dispersion parameters. We call such models time‐varying dispersion INGARCH (tv‐DINGARCH) models.
Wagner Barreto‐Souza, Luiza S. C. Piancastelli, Konstantinos Fokianos, Hernando Ombao   +3 more
wiley   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

From OPE to chiral perturbation theory in holographic QCD

EPJ Web of Conferences, 2016
The soft wall model in holographic QCD has Regge trajectories but wrong operator product expansion (OPE) for the two-point vectorial QCD Green function. We modify the dilaton potential to comply with the OPE.
Cappiello Luigi, D’Ambrosio Giancarlo, Greynat David   +2 more
doaj   +1 more source

Inducing Ferromagnetism by Structural Engineering in a Strongly Spin‐Orbit Coupled Oxide

Advanced Functional Materials, Volume 36, Issue 37, 7 May 2026.
ABSTRACT Magnetic materials with strong spin‐orbit coupling (SOC) are essential for the advancement of spin‐orbitronic devices, as they enable efficient spin‐charge conversion, complex magnetic structures, spin‐valley physics, topological phases and other exotic phenomena.
Ji Soo Lim, Carmine Autieri, Merit Spring, Martin Kamp, Amar Fakhredine, Pavel Potapov, Daniel Wolf, Sergii Pylypenko, Axel Lubk, Johannes Schultz, Nicolas Perez, Börge Mehlhorn, Louis Veyrat, Mario Cuoco, Fadi Choueikan, Philippe Ohresser, Bernd Büchner, Giorgio Sangiovanni, Ralph Claessen, Michael Sing   +19 more
wiley   +1 more source

Near‐Surface Maximum Wind Speed Prediction Using XGBoost Model Integrated Bayesian Optimization Algorithm and Based on K‐Nearest Neighbor Mutual Information Feature Selection

Meteorological Applications, Volume 33, Issue 3, May/June 2026.
Integrating Bayesian optimization and intelligent feature selection with XGBoost, this model drastically improves maximum wind speed prediction accuracy by 19%–66%. It delivers reliable forecasts for wind energy planning and typhoon risk management.
Xiaoyan Huang, Ying Huang, Huasheng Zhao, Yushuang Wu, Li He   +4 more
wiley   +1 more source

Generalized the q-digamma and the q-polygamma functions via neutrices

, 2017
The q-digamma function ?q(x) and the q-polygamma functions ?(r)q(x), r ? N = {1,2,...} are defined for all x > 0 and 0 < q < 1. In this paper, the neutrices and the neutrix limit are used to define the q-digamma function q(x) and the q-
Ahmed Salem
core   +1 more source

Omnibus goodness‐of‐fit tests for univariate continuous distributions based on trigonometric moments

Statistica Neerlandica, Volume 80, Issue 2, May 2026.
ABSTRACT We propose a new omnibus goodness‐of‐fit test based on trigonometric moments of probability‐integral‐transformed data. The test builds on the framework of the LK test introduced by Langholz and Kronmal [J. Amer. Statist. Assoc. 86 (1991), 1077–1084], but fully exploits the covariance structure of the associated trigonometric statistics.
Alain Desgagné, Frédéric Ouimet
wiley   +1 more source