Results 11 to 20 of about 269,754 (160)
On third order Hankel determinant for inverse functions of certain classes of univalent functions [PDF]
European Journal of Mathematics and Applications, 2022 In this paper we determine the upper bounds for the Hankel determinant of third order for the inverse functions of functions from some classes of univalent functions.
Milutin Obradović, Nikola Tuneski
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Painlevé III′ and the Hankel determinant generated by a singularly perturbed Gaussian weight
Nuclear Physics B, 2018 In this paper, we study the Hankel determinant generated by a singularly perturbed Gaussian weightw(x,t)=e−x2−tx2,x∈(−∞,∞),t>0. By using the ladder operator approach associated with the orthogonal polynomials, we show that the logarithmic derivative of ...
Chao Min, Shulin Lyu, Yang Chen
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Fractal and Fractional, 2022 This paper deals with a new subclass of univalent function associated with the right half of the lemniscate of Bernoulli. We find the upper bound of the Hankel determinant H3(1) for this subclass by applying the Carlson–Shaffer operator to it.
Najeeb Ullah +5 more
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The Second Hankel Determinant Problem for a Class of Bi-Univalent Functions [PDF]
Journal of Mathematical and Fundamental Sciences, 2019 Hankel matrices are related to a wide range of disparate determinant computations and algorithms and some very attractive computational properties are allocated to them.
Mohammad Hasan Khani +2 more
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Hankel Determinant for a Class of Analytic Functions Related with Lemniscate of Bernoulli [PDF]
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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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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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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Axioms, 2022 The logarithmic coefficients are very essential in the problems of univalent functions theory. The importance of the logarithmic coefficients is due to the fact that the bounds on logarithmic coefficients of f can transfer to the Taylor coefficients of ...
Sevtap Sümer Eker +3 more
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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 +4 more
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Second Hankel Determinant for Analytic Functions Defined by Ruscheweyh Derivative [PDF]
International Journal of Analysis and Applications, 2015 Let S denote the class of analytic and univalent functions in the open unit disk D= {z:|z|<1} with the normalization conditions. In the present article an upper bound for the second Hankel determinant |a₂a₄-a₃²| is obtained for the analytic functions ...
T. Yavuz
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