Results 71 to 80 of about 269,754 (160)
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
wiley +1 more source
The sharp bound of the third Hankel determinant for inverse of convex functions
, 2023 The objective of this paper is to find the best possible upper bound of the third Hankel determinant for the inverse of convex ...
Kumar, K. Sanjay +2 more
core
Fekete-Szegö and Hankel inequalities related to the sine function
Applied Mathematics in Science and EngineeringThe Fekete-Szegö inequality is one of the inequalities for the coefficients which associated with the famous Bieberbach conjecture. Other issues associated with this inequality are determining the Hankel determinant denoted as Hd inequalities which are ...
Muhammad Ashfaq +3 more
doaj +1 more source
Probing Strong Coupling in Core–Shell Nanoparticles With Fast Electron Beams
physica status solidi (a), Volume 223, Issue 17, 9 September 2026.An exact analytic formalism for evaluating electron‐energy loss and cathodoluminescence probabilities for core–shell nanoparticles explored by electron‐beam spectroscopies is derived. The formalism is exploited to understand strong exciton–plasmon and exciton–Mie mode coupling in nanophotonic architectures.
Annika Brandt +3 more
wiley +1 more source
Hankel Determinant Structure of the Rational Solutions for Fifth Painlevé Equation [PDF]
, 2013 In this paper, we construct the Hankel determinant representation of the rational solutions for the fifth Painlev\'{e} equation through the Umemura polynomials. Our construction gives an explicit form of the Umemura polynomials $\sigma_{n}$ for $ n\geq 0$
Qusay Soad Abdul-Aziz, Al-Zamil
core +1 more source
New Results for Some Generalizations of Starlike and Convex Functions
Journal of Function Spaces, 2020 The purpose of the current paper is to investigate several various problems for the categories STLs,SNe∗, and other related categories such as various new outcomes for the coefficients of f, together with majorization issues, the Hankel determinant, and ...
Ali Ebadian +3 more
doaj +1 more source
Hankel determinant for certain new classes of analytic functions associated the activation functions. [PDF]
Heliyon, 2023 Sun Y +4 more
europepmc +1 more source
This paper investigates the precise upper bound of the third-order Hankel determinant for the inverse functions within the function classes $\mathcal S^{*}_{e}$, $\mathcal C_{e}$, $\mathcal S^{*}_{\mathcal L}$, and $\mathcal C_{\mathcal L}$. Additionally,
Xin Wang, Dong Guo, Xi Luo
core +1 more source
Coefficient bounds for certain subclasses of starlike functions
Journal of Inequalities and Applications, 2019 The conjecture proposed by Raina and Sokòł [Hacet. J. Math. Stat. 44(6):1427–1433 (2015)] for a sharp upper bound on the fourth coefficient has been settled in this manuscript. An example is constructed to show that their conjectures for the bound on the
Nak Eun Cho +3 more
doaj +1 more source
Journal of Inequalities and ApplicationsIn recent years, many subclasses of univalent functions, directly or not directly related to the exponential functions, have been introduced and studied. In this paper, we consider the class of S e ∗ $\mathcal{S}^{\ast}_{e}$ for which z f ′ ( z ) / f ( z
Lei Shi +4 more
doaj +1 more source