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 Kiani
exaly +4 more sources
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
doaj +2 more sources
Sharp bounds of the third Hankel determinant for classes of univalent functions with bounded turning [PDF]
Mathematica Bohemica, 2022 We improve the bounds of the third order Hankel determinant for two classes of univalent functions with bounded turning.
Milutin Obradović +2 more
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On Determinant Expansions for Hankel Operators [PDF]
Concrete Operators, 2020 Let w be a semiclassical weight that is generic in Magnus’s sense, and (pn)n=0∞({p_n})_{n = 0}^\infty the corresponding sequence of orthogonal polynomials. We express the Christoffel–Darboux kernel as a sum of products of Hankel integral operators.
Blower Gordon, Chen Yang
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Fourth Hankel Determinant for a Subclass of Starlike Functions Based on Modified Sigmoid
Journal of Function Spaces, 2021 In our present investigation, we obtain the improved third-order Hankel determinant for a class of starlike functions connected with modified sigmoid functions.
Wali Khan Mashwani +6 more
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Fractal and Fractional, 2022 The logarithmic functions have been used in a verity of areas of mathematics and other sciences. As far as we know, no one has used the coefficients of logarithmic functions to determine the bounds for the third Hankel determinant.
Serkan Araci +2 more
exaly +3 more sources
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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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
doaj +2 more sources
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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Evaluation of a Special Hankel Determinant of Binomial Coefficients [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 This paper makes use of the recently introduced technique of $\gamma$-operators to evaluate the Hankel determinant with binomial coefficient entries $a_k = (3 k)! / (2k)! k!$. We actually evaluate the determinant of a class of polynomials $a_k(x)$ having
Ömer Eugeciouglu +2 more
doaj +3 more sources