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
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Fourth Hankel Determinant Problem Based on Certain Analytic Functions
, 2022 In recent years, the Hankel determinant bounds for different subclasses of analytic, starlike and symmetric starlike functions have been discussed and studied by the many well-known authors.
Khurshid Ahmad +6 more
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Bounds for the second Hankel determinant of certain univalent functions [PDF]
, 2016 The estimates for the second Hankel determinant a_2 a_4-a_3^2 of the analytic function f(z)=z+a_2 z^2+a_3 z^3+⋯, for which either zf^' (z)/f(z) or 1+zf^'' (z)/f^' (z) is subordinate to a certain analytic function, are investigated.
Liew, P. H, Aini Janteng, Fuah, K. H
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Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions [PDF]
International Journal of Mathematical, Engineering and Management SciencesThe Hankel determinant, which plays a significant role in the theory of univalent functions, is investigated here in the context of bi-univalent analytic functions.
Mohamed Illafe +3 more
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Applications of Modified Sigmoid Functions to a Class of Starlike Functions
Journal of Function Spaces, 2020 The main focus of this investigation is the applications of modified sigmoid functions. Due to its various uses in physics, engineering, and computer science, we discuss several geometric properties like necessary and sufficient conditions in the form of
Muhammad Ghaffar Khan +4 more
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A Study of Fourth-Order Hankel Determinants for Starlike Functions Connected with the Sine Function
Journal of Function Spaces, 2021 In this paper, upper bounds for the fourth-order Hankel determinant H41 for the function class Ss∗ associated with the sine function are given.
Hai-Yan Zhang, Huo Tang
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A Study of Third Hankel Determinant for Certain Subclasses of Analytic Function [PDF]
, 2020 Recently the Hankel determinant problems got attractions of many well-known authors. Third Hankel determinant problems were determined for different subclasses of analytic functions.
Khan, Bilal +5 more
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Second Hankel Determinant for Bi-starlike Functions of Order β [PDF]
, 2016 Making use of the Hankel determinant, in this work, we consider a general subclass of bi-univalent functions.
Altinkaya, Şahsene, Yalcin, Sibel
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Hankel determinant of second order for inverse functions of certain classes of univalent functions [PDF]
, 2023 In this paper we determine mainly sharp upper bounds for the Hankel determinant of second order for the inverse functions of functions from some classes of univalent ...
Obradović, Milutin, Tuneski, Nikola
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On Determinant Expansions for Hankel Operators
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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