Results 71 to 80 of about 257,077 (206)

Third Hankel determinant for a subclass of convex functions associated with a domain bounded by an epicycloid

Journal of Inequalities and Applications
In the current study, we investigate a subclass of convex functions, denoted by K n − 1 , L $\mathcal{K}_{n-1,\mathcal{L}}$ , associated with a domain bounded by an epicycloid with n − 1 $n-1$ cusps.
E. K. Nithiyanandham, B. Srutha Keerthi
doaj   +1 more source

Hankel Determinants of the Generalized Factorials

Indian Journal of Pure and Applied Mathematics, 2018
Denote 〈x|d〉 n = x(x + d)(x + 2d) · · · (x + (n - 1)d) for n = 1, 2, · · ·, and 〈x|d〉0 = 1, where 〈x|d〉 n is called the generalized factorial of x with increment d. In this paper, we present the evaluation of Hankel determinants of sequence of generalized factorials.
Sheng-Liang Yang, Yan-Ni Dong
openaire   +1 more source

More Stabilizing Radiative Feedbacks in CO2 Removal Scenarios

Geophysical Research Letters, Volume 53, Issue 18, 28 September 2026.
Abstract Recent studies show that global mean surface temperature exhibits a transient hysteresis during CO2 ${\mathrm{C}\mathrm{O}}_{2}$ removal, where temperatures remain elevated after CO2 ${\mathrm{C}\mathrm{O}}_{2}$ concentrations return to pre‐industrial levels.
Ivan Mitevski, Gabriel A. Vecchi
wiley   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

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

Hankel Determinants of q-Stirling Numbers

The Electronic Journal of Combinatorics
In this paper, we consider the q-analogue of the Hankel determinants of the Bell numbers and give combinatorial proofs of these results. We show that the Hankel determinants of the q-Stirling numbers can be simplified to a determinant that is almost upper-triangular, and then construct sign-reversing involutions on certain sets of RG-words that
Yue Cai, Ting Yang
openaire   +3 more sources

Hankel Determinants, Padé Approximations, and Irrationality Exponents [PDF]

International Mathematics Research Notices, 2015
The irrationality exponent of an irrational number $ξ$, which measures the approximation rate of $ξ$ by rationals, is in general extremely difficult to compute explicitly, unless we know the continued fraction expansion of $ξ$. Results obtained so far are rather fragmentary, and often treated case by case.
Bugeaud, Yann, Han, Guo-Niu, Wen, Zhi-Ying, Yao, Jia-Yan   +3 more
openaire   +4 more sources

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, Christos Tserkezis, Carsten Rockstuhl, P. Elli Stamatopoulou   +3 more
wiley   +1 more source

Effect of Water Suppression and Metabolite Cycling on Quantification of 1H MRS Spectra in the Human Brain at 3 Tesla

Magnetic Resonance in Medicine, Volume 96, Issue 2, Page 542-547, August 2026.
ABSTRACT Purpose This study investigates the effect of VAPOR water suppression and metabolite cycling on metabolite quantification and macromolecules in proton magnetic resonance spectroscopy. Methods Single‐voxel semi‐LASER spectra (TR/TE = 3000/28 ms) and metabolite‐nulled spectra (macromolecules) were acquired in five healthy subjects in the ...
Dinesh K. Deelchand, Pierre‐Gilles Henry   +1 more
wiley   +1 more source

A Study of Fourth Hankel Determinant of Certain Analytic Function [PDF]

, 2021
The main motive of this paper is to nd an upper bound of the fourth Hankel determinant H 4;1 (f) for a subclass S; with hyperbolic ...
Frasin, Basem Aref, Khan, Bilal, Khan, Nazar, Haq, Mirajul, Khan, Neelam   +4 more
core   +1 more source

Hankel Determinant H2(3) for Certain Subclasses of Univalent Functions [PDF]

, 2020
Let S to be the class of functions which are analytic, normalized and univalent in the unit disk U = {z : |z| < 1}. The main subclasses of S are starlike functions, convex functions, close-to-convex functions, quasiconvex functions, starlike functions ...
Aini Janteng, Rashidah Omar, Andy Liew Pik Hern   +2 more
core   +1 more source