Results 61 to 70 of about 828 (215)

On the Hankel determinants of close-to-convex univalent functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
The rate of growth of Hankel determinant for close-to-convex functions is determined. The results in this paper are best possible.
K. Inayat Noor
doaj   +1 more source

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

open access: yesMagnetic 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   +1 more
wiley   +1 more source

Hankel determinants and orthogonal polynomials

open access: yesExpositiones Mathematicae, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Improved upper bound of third order Hankel determinant for Ozaki close-to-convex functions [PDF]

open access: yes, 2022
In this paper we improve the upper bound of the third order Hankel determinant for the class of Ozaki close-to-convex functions.
Milutin Obradović   +3 more
core   +1 more source

A Study of Fourth Hankel Determinant of Certain Analytic Function

open access: yes, 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   +4 more
core  

In Situ pH Determination Using 1H‐MRS Acetate Chemical Shift for Noninvasive Postmortem Examinations

open access: yesNMR in Biomedicine, Volume 39, Issue 7, July 2026.
The chemical‐shift difference between acetate and myo‐inositol measured by MRS enables estimation of pH in the acidic range. Noninvasive pH assessment in forensic investigations is demonstrated in 58 cases and validated by measurements in extracted tissue.
Sabina Frese   +4 more
wiley   +1 more source

Residual Water Suppression in MRS Using HLSVD With Automatic Component Selection Strategy

open access: yesNMR in Biomedicine, Volume 39, Issue 7, July 2026.
Residual water signals in magnetic resonance spectroscopy distort baselines and hinder metabolite quantification. We propose an automatic residual water removal method using HLSVD with the metric, termed as residual water to metabolite variance ratio (RWVR), to guide component selection.
Yi‐Ru Lin   +2 more
wiley   +1 more source

Bounds of Hankel Determinant for a Class of Univalent Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
Summary: We study coefficient conditions for the class \(\mathfrak H_\alpha\) defined as the set of all analytic functions \(f\) with \(f(0) = 0\) and \(f'(0) = 1\) which satisfy \[ \mathrm{Re}\left\{(1 - \alpha)f'(z) + \alpha\left(1 +\frac{zf''(z)}{f'(z)}\right)\right\} > \alpha \] for all \(z\) in the open unit disk, where \(\alpha\) is a real number.
Sarika Verma   +2 more
openaire   +3 more sources

Hankel determinant calculus for the Thue–Morse and related sequences

open access: yes, 2015
International audienceThe Hankel determinants of certain automatic sequences f are evaluated modulo a prime number. In most cases, the Hankel determinants of automatic sequences do not have any closed-form expressions; the traditional methods, such as LU-
Han, Guo-Niu
core   +1 more source

Second Hankel determinant for a class of analytic functions defined by q-derivative operator

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we obtain the estimates for the second Hankel determinant for a class of analytic functions defined by q-derivative operator and subordinate to an analytic function.
Răducanu Dorina
doaj   +1 more source

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