Results 51 to 60 of about 2,715,137 (155)
Advances in Mathematical Physics, 2013 A significant advance in characterizing the nature of the zeros and organizing the Mittag-Leffler functions into phases according to their behavior is presented. Regions have been identified in the domain of and where the Mittag-Leffler functions have
John W. Hanneken +2 more
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Estimation of the Intercept Parameter in Integrated Galton–Watson Processes
Journal of Time Series Analysis, EarlyView.ABSTRACT We study the estimation of the intercept parameter in an integrated Galton–Watson process, an important building block for many count‐valued time series models. In this unit root setting, the ordinary least squares estimator is known to be inconsistent, whereas the existing weighted least squares (WLS) estimator is consistent only in the case ...
Yang Lu
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Fractional operators with generalized Mittag-Leffler k-function
Advances in Difference Equations, 2019 In this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels. We prove some composition formulas for such generalized fractional integrals with Mittag-Leffler k-function.
Shahid Mubeen, Rana Safdar Ali
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Journal of Function Spaces, 2022 We consider a class of nonautonomous cellular neural networks (CNNs) with mixed delays, to study the solutions of these systems which are type pseudo almost periodicity.
Zahra Eidinejad +2 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
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On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, it is aimed to improvement the boundaries of fractional integral operators containing extended generalized Mittag-Leffler functions. The offered results enhance the previously known bounds of the distinct fractional integral operators for ...
Ayşe Kübra Demirel
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Transient Charging of Mixed Ionic‐Electronic Conductors by Anomalous Diffusion
Advanced Materials, Volume 38, Issue 51, 11 September 2026.This article explores charge transport in mixed ionic‐electronic conductors (MIECs) through electrochemical impedance spectroscopy and transient current analysis. Focusing on PEDOT:PSS, WO3, and n‐doped PBDF, it uncovers the impact of anomalous diffusion via fractional modeling. The study reveals key correlations that deepen understanding and guide the
Heyi Zhang +9 more
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Asymptotics for a variant of the Mittag–Leffler function [PDF]
Integral Transforms and Special Functions, 2012 We generalize the Mittag-Leffler function by attaching an exponent to its Taylor coefficients. The main result is an asymptotic formula valid in sectors of the complex plane, which extends work by Le Roy [Bull. des sciences math. 24, 1900] and Evgrafov [Asimptoticheskie otsenki i tselye funktsii, 1979]. It is established by Plana's summation formula in
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Mittag-Leffler functions in superstatistics [PDF]
Chaos, Solitons & Fractals, 2020 Nowadays, there is a series of complexities in biophysics that require a suitable approach to determine the measurable quantity. In this way, the superstatistics has been an important tool to investigate dynamic aspects of particles, organisms and substances immersed in systems with non-homogeneous temperatures (or diffusivity).
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Classes of Harmonic Functions Related to Mittag-Leffler Function
Axioms, 2023 The purpose of this paper is to find new inclusion relations of the harmonic class HF(ϱ,γ) with the subclasses SHF*,KHF and TNHF(τ) of harmonic functions by applying the convolution operator Θ(ℑ) associated with the Mittag-Leffler function. Further for ϱ=0, several special cases of the main results are also obtained.
Abeer A. Al-Dohiman +3 more
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