Results 31 to 40 of about 360 (180)
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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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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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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Some Results Concerned with Hankel Determinant
Kragujevac Journal of Mathematics, 2023 Summary: In this paper, we discuss different versions of the boundary Schwarz lemma and Hankel determinant for \(\mathcal{K}\left( \alpha \right)\) class. Also, for the function \(f(z)=z+c_2z^2+c_3z^3+\cdots\) defined in the unit disc such that \(f\in \mathcal{K(\alpha)}\), we estimate a modulus of the angular derivative of \(f(z)\) function at the ...
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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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Hankel determinants of the Cantor sequence [PDF]
SCIENTIA SINICA Mathematica, 2014 In the paper, we give the recurrent equations of the Hankel determinants of the Cantor sequence, and show that the Hankel determinants as a double sequence is 3-automatic. With the help of the Hankel determinants, we prove that the irrationality exponent of the Cantor number, i.e.
Wen, Zhi-xiong, Wu, Wen
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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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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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Hankel Determinants of Eisenstein Series [PDF]
, 2001 In this paper we prove Garvan's conjectured formula for the square of the modular discriminant $Δ$ as a 3 by 3 Hankel determinant of classical Eisenstein series $E_{2n}$. We then obtain similar formulas involving minors of Hankel determinants for $E_{2r}Δ^m$, for $m=1,2,3$ and $r=2,3,4,5,7$, and $E_{14}Δ^4$.
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An Observation of Rankin on Hankel Determinants
Integers, 2019 See the abstract in the attached pdf.
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