Results 81 to 90 of about 360 (180)
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
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Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions
Journal of MathematicsSuppose that ST1 is a class of close-to-star functions. In this paper, we investigated the estimate of Zalcman functional on the logarithmic coefficients and the third Hankel determinant for the class ST1 with the determinant entry of logarithmic ...
Dong Guo +4 more
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Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice
Symmetry, Integrability and Geometry: Methods and Applications, 2013 The spectral transformation technique for symmetric RII polynomials is developed. Use of this technique reveals that the nonautonomous discrete modified KdV (nd-mKdV) lattice is directly connected with the RII chain.
Kazuki Maeda, Satoshi Tsujimoto
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Proof of the Somos-4 Hankel determinants conjecture
Advances in Applied Mathematics, 2009 3 ...
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What is a vector Hankel determinant
Linear Algebra and its Applications, 1998 The aim of the paper under review is to give, under some assumptions, a necessary and sufficient condition that the following system \[ \sum_{j=1}^n x_j a_{i,j} = b_i, \] where \(i=1,\dots,n\), and the \(a_{i,j}\)'s and the \(b_i\)'s are in a euclidean vector space \(V\) of dimension \(n\), has one and only one solution.
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Hankel Determinant for a Class of Analytic Functions Related with Lemniscate of Bernoulli
International Journal of Analysis and Applications, 2014 The object of the present investigation is to solve Fekete-Szegö problem and determine the sharp upper bound to the second Hankel determinant for a new class R of analytic functions in the unit disk.
Ashok Kumar Sahoo, Jagannath Patel
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Bounds for the Second Hankel Determinant and Its Inverse in Specific Function Classes
AxiomsThis paper presents a newly defined subclass of analytic functions and explores several significant properties within the class, which use for their definitions the q-analogues of the derivative and the subordinations. Thus, we tried to connect different
Trailokya Panigrahi +2 more
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AxiomsThe study of the Hankel determinant generated by the Maclaurin series of holomorphic functions belonging to particular classes of normalized univalent functions is one of the most significant problems in geometric function theory.
Muhammad Abbas +3 more
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On Hankel Determinant Inequalities
International Journal For Multidisciplinary ResearchThis article aims to obtain the second Hankel determinant inequalities for the inverse of the well-known classes of univalent functions, namely, starlike and convex functions.
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A special class of Hankel determinants
, 2013 This is an enlarged version of the original paper which contains some new material.
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