The second and third Hankel determinants for starlike and convex functions associated with Three-Leaf function [PDF]
Heliyon, 2023 In this paper, we give sharp bounds of the Hankel determinant H2(3)(f) for the coefficients of functions in the class of starlike functions related to a domain that is like three leaves.
Amina Riaz +3 more
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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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Bounds for the Second Hankel Determinant of Certain Univalent Functions [PDF]
, 2013 The estimates for the second Hankel determinant a_2a_4-a_3^2 of analytic function f(z)=z+a_2 z^2+a_3 z^3+...b for which either zf'(z)/f(z) or 1+zf"(z)/f'(z) is subordinate to certain analytic function are investigated.
Keong, Lee See +2 more
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Certain inequalities related with Hankel and Toeplitz determinant for q-starlike functions [PDF]
HeliyonIn the present article, we prove the sharp upper bounds for the second order Hankel determinants |H2(1)|,|H2(2)| and related functionals |a2a3−a4|, |a2a5−a3a4| for q-starlike functions.
Ihtesham Gul +3 more
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Third-order Hankel determinant sharp estimates for the inverse of complex valued holomorphic functions [PDF]
HeliyonDetermining coefficient estimates of inverse complex valued function is often more challenging than determining the function itself, leading to a lack of articles on inverse functions by examining sharp estimates of the third-order Hankel determinant ...
Muhammad Abbas +3 more
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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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AIMS MathematicsIn this paper, we define new subclasses of analytic functions related to a modified sigmoid function and analytic univalent function. Then, we attempt to investigate the upper bounds of the third and fourth Hankel determinant in the special case. Further,
Wenzheng Hu, Jian Deng
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Third Hankel determinant for a subclass of convex functions associated with a domain bounded by an epicycloid [PDF]
Journal of Inequalities and ApplicationsIn the current study, we investigate a subclass of convex functions, denoted by K n − 1 , L $\mathcal{K}_{n-1,\mathcal{L}}$ , associated with a domain bounded by an epicycloid with n − 1 $n-1$ cusps.
E. K. Nithiyanandham, B. Srutha Keerthi
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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.
Muhammad Arif, Mohsan Raza, Huo Tang
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