Results 21 to 30 of about 257,077 (206)
On the Hankel determinants of close-to-convex univalent functions [PDF]
International 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
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Coefficient Bounds for Some Families of Starlike and Convex Functions of Reciprocal Order [PDF]
The Scientific World Journal, 2014 The aim of the present paper is to investigate coefficient estimates, Fekete-Szegő inequality, and upper bound of third Hankel determinant for some families of starlike and convex functions of reciprocal order.
Muhammad Arif +3 more
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Open Mathematics, 2019 In this paper we define and consider some familiar subsets of analytic functions associated with sine functions in the region of unit disk on the complex plane. For these classes our aim is to find the Hankel determinant of order three.
Hassan Khan, Mohsan Raza
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What is a vector Hankel determinant [PDF]
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.
Salam, A.
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Integrable operators and squares of Hankel operators. [PDF]
, 2008 Integrable operators arise in random matrix teory, where they describe the asymptotic distributions of large self-adjoint random matrices from the generalized unitary ensembles.
Blower, Gordon
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Hankel operators that commute with second order differential operators. [PDF]
, 2008 Suppose that $\Gamma$ is a continuous and self-adjoint Hankel operator on $L^2(0, \infty )$ with kernel $\phi (x+y)$ and that $Lf=-(d/dx)(a(x)df/dx)+b(x)f(x) with $a(0)=0$.
Blower, Gordon
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Mathematics, 2023 One of the challenging tasks in the study of function theory is how to obtain sharp estimates of coefficients that appear in the Taylor–Maclaurin series of analytic univalent functions, and for obtaining these bounds, researchers used the concepts of ...
Isra Al-Shbeil +4 more
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Perturbed Hankel determinants [PDF]
Journal of Physics A: Mathematical and General, 2005 10 ...
Basor, Estelle, Chen, Yang
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International Journal of Analysis and Applications, 2023 The growth of the Hankel determinant whose elements are logarithmic coefficients for different subclasses of univalent functions has recently attracted considerable interest.
Daud Mohamad +1 more
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Painlevé V and the Hankel determinant for a singularly perturbed Jacobi weight
Nuclear Physics B, 2020 We study the Hankel determinant generated by a singularly perturbed Jacobi weightw(x,t):=(1−x2)αe−tx2,x∈[−1,1],α>0,t≥0. If t=0, it is reduced to the classical symmetric Jacobi weight.
Chao Min, Yang Chen
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