Results 31 to 40 of about 7,436 (197)
An exact estimate of the third Hankel determinants for functions inverse to convex functions
Математичні Студії, 2023 Invesigation of bounds for Hankel determinat of analytic univalent functions is prominent intrest of many researcher from early twenth century to study geometric properties.
B. Rath, K. S. Kumar, D. V. Krishna
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Journal of Mathematics, 2022 This article deals with the upper bound of fourth-order Hankel and Toeplitz determinants for the convex functions which are defined by using the sine function.
Farah Zulfiqar +3 more
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Selberg integrals and Hankel determinants [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 In our previous works "Pfaffian decomposition and a Pfaffian analogue of $q$-Catalan Hankel determinants'' (by M.Ishikawa, H. Tagawa and J. Zeng, J. Combin. Theory Ser. A, 120, 2013, 1263-1284) we have proposed several ways to evaluate certain Catalan-Hankel Pffafians and also formulated several conjectures.
Masao Ishikawa, Jiang Zeng
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Universally prestarlike functions associated with shell like domain
Математичні Студії, 2022 In this paper, we introduce universally prestarlike generalized functions of order $\vartheta $ with $\vartheta \leq 1$ associated with shell like domain, and we get coefficient bounds and the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for such ...
K. Vijaya +2 more
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Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge [PDF]
, 2016 We compute asymptotics for Hankel determinants and orthogonal polynomials with respect to a discontinuous Gaussian weight, in a critical regime where the discontinuity is close to the edge of the associated equilibrium measure support.
Bogatskiy, Alexander +2 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In the present paper we introduce a new class of analytic functions f in the open unit disk normalized by f(0) = f′(0)−1 = 0, associated with exponential functions.
Breaz Daniel +2 more
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Upper Bound of Second Hankel Determinant for Certain Subclasses of Analytic Functions
Abstract and Applied Analysis, 2014 In this present investigation, we first give a survey of the work done so far in this area of Hankel determinant for univalent functions. Then the upper bounds of the second Hankel determinant |a2a4−a32| for functions belonging to the subclasses S(α,β),
Ming-Sheng Liu, Jun-Feng Xu, Ming Yang
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Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities [PDF]
Annals of Mathematics, 2011 43 pages, 3 figures, extended ...
Deift, P, Its, A, Krasovsky, I
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Bound Associated with Certain Hankel Determinants and Zalcman Conjecture for Multivalent Functions of Bounded Turning [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we investigate for a sharp upper bound to certain generalized second Hankel determinant, the Zalcman conjecture and an upper bound for the third, fourth Hankel determinants for the class of multivalent analytic bounded turning functions ...
Deekonda Vamshee Krishna +3 more
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Bounds for the Second Hankel Determinant of Certain Univalent Functions
, 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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