Results 41 to 50 of about 8,276 (242)
AIMS Mathematics, 2022 The main objective of the present article is to define the class of bounded turning functions associated with modified sigmoid function. Also we investigate and determine sharp results for the estimates of four initial coefficients, Fekete-Szegö ...
Muhammad Ghaffar Khan +4 more
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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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Hankel Determinants of Eisenstein Series [PDF]
, 2001 In this paper we prove Garvan's conjectured formula for the square of the modular discriminant $ $ as a 3 by 3 Hankel determinant of classical Eisenstein series $E_{2n}$. We then obtain similar formulas involving minors of Hankel determinants for $E_{2r} ^m$, for $m=1,2,3$ and $r=2,3,4,5,7$, and $E_{14} ^4$.
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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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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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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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Random Matrix Models, Double-Time Painlev\'e Equations, and Wireless Relaying
, 2013 This paper gives an in-depth study of a multiple-antenna wireless communication scenario in which a weak signal received at an intermediate relay station is amplified and then forwarded to the final destination.
Chen, Yang +2 more
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Hankel Determinant for -Valent Alpha-Convex Functions [PDF]
Geometry, 2013 The objective of the present paper is to obtain the sharp upper bound of for p-valent α-convex functions of the form in the unit disc .
Singh, Gagandeep, Mehrok, B. S.
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Sharp estimate for starlikeness related to a tangent domain
AIMS MathematicsIn the recent years, the study of the Hankel determinant problems have been widely investigated by many researchers. We were essentially motivated by the recent research going on with the Hankel determinant and other coefficient bounds problems.
Mohammad Faisal Khan +2 more
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Second Hankel determinant for bi-starlike and bi-convex functions of order \b{eta}
, 2015 In the present investigation the authors obtain upper bounds for the second Hankel determinant of the classes bi-starlike and bi-convex functions of order beta.Comment: 8 pages, submitted to a ...
Deniz, Erhan +2 more
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