Results 91 to 100 of about 257,077 (206)
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
Bounds of Hankel Determinant for a Class of Univalent Functions
International 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
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An Algebraic Study of Parametric Stokes Phenomena
Studies in Applied Mathematics, Volume 157, Issue 1, July 2026.ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
wiley +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
Nanophotonics, Volume 15, Issue 9, 13 May 2026.An ab initio electromagnetic framework links quasinormal modes to Fano resonances in extinction spectra. Analytical expressions for the Fano asymmetry and intensity parameters are derived from overlap integrals, enabling rapid spectral reconstruction and physical interpretation.
Mikhail Bochkarev +5 more
wiley +1 more source
An upper bound for third Hankel determinant of starlike functions connected with k-Fibonacci numbers
, 2019 In this paper, we investigate the third Hankel determinant problem in some classes of analytic functions in the open unit disc connected with k-Fibonacci numbers Fk,n(k>0). For this, first, we prove a conjecture, posed in Guney et al.
Guney, H. Ozlem +2 more
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Second Hankel Determinant for Bi-starlike Functions of Order β [PDF]
, 2016 Making use of the Hankel determinant, in this work, we consider a general subclass of bi-univalent functions.
Altinkaya, Şahsene, Yalcin, Sibel
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Hankel determinant for certain new classes of analytic functions associated the activation functions. [PDF]
Heliyon, 2023 Sun Y +4 more
europepmc +1 more source
Proof of the Somos-4 Hankel determinants conjecture
Advances in Applied Mathematics, 2009 3 ...
openaire +4 more sources
Balanced Realization and Model Order Reduction for Nonlinear Systems Based on Singular Value Analysis [PDF]
, 2004 This paper discusses balanced realization and model order reduction for both continuous-time and discrete-time general nonlinear systems based on singular value analysis of the corresponding Hankel operators.
Fujimoto, Kenji +6 more
core +2 more sources