[PDF] Top 20 Bounds for the Second Hankel Determinant of Certain Univalent Functions

... the second Hankel determinant and sharp bound for the classes of starlike and convex functions, close-to-starlike and close-to-convex functions with respect to symmetric points have ... See full document

... The bounds for the second Hankel determinant H  () = a  a  – a   are obtained for func- tions belonging to these subclasses of Ma-Minda starlike and convex functions in Sec- tion ... See full document

... upper bounds on initial coefficients of inverse of a function defined by inte- gration of Carath´ eodory ...upper bounds on Fekete-Szeg¨ o functional and third Hankel determinant of such ... See full document

... of functions that are analytic, normalized and univalent in the open unit disk E = { z z : < 1 } ...convex functions denoted by S * and C ...analytic functions that generalize some known ... See full document

... 13 A. Janteng, S. A. Halim, and M. Darus, “Coefficient inequality for a function whose derivative has positive real part,” Journal of Inequalities in Pure and Applied Mathematics, vol. 7, no. 2, p. 50, 2006. 14 R. J. ... See full document

... the second Hankel determinant and sharp upper bounds for the familiar subclass of S, namely starlike and convex functions denoted by ST & CV and showed that |a 2 a 4 − a 2 3 | ≤ 1 ... See full document

... of univalent functions, starlike functions, convex functions and close- to-convex functions has been completely settled ([2], [5], [6], ...upper bounds to the second ... See full document

... which are analytic in the unit disc E {z : |z| < 1}, and let S be the subclass of A consisting of functions which are univalent in E. A function f ∈ A is said to be close to convex in the open unit disc E ... See full document

... The well-known Koebe one-quarter theorem (see[4]) asserts that the image of ∆ under every univalent function f ∈ Ω contains a disk of radius 1 4 . Thus, the inverse of f ∈ Ω is a univalent analytic function ... See full document

... normalized univalent functions of the form given by (1) is well known for its rich history in Geometric Function ...odd univalent functions are bounded by unity (see ... See full document

... Subramanian, Second Hankel determinant for certain classes of analytic functions, Bonfring International Journal of Data Mining , 2(2) (2012), 57–60. Received : March 05, 2014; Accepted [r] ... See full document

... and Hankel determinant for any class of analytic functions is well ...analytic functions related to strongly close-to-convex ...of Hankel determinant by using the method of ... See full document

... meromorphic functions with fixed second coefficient have been studied, see Aouf and Darwish [2], Silverman and Silvia [18], and Uralegaddi [20], and we use the same techniques to prove our ... See full document

... Darus, Estimate on the second Hankel func- tional for functions whose derivative has a positive real part, Journal of Quality Measurement and Analysis, 4(1) (2008), 189–195.... Mohamad a[r] ... See full document

... the Hankel determinant of exponential polynomials. The Hankel transform of an integer sequence and some of its properties were discussed by Layman’s article ... See full document

... introduce certain subclasses of analytic functions and obtain an upper bound to the functional |a 2 a 4 − a 2 3 | for the function f belonging to these classes, defined as ... See full document

... Abstract: The main object of the present paper is to investigate the upper bound of the second Hankel determinant |a 2 a 4 − a 2 3 | for the analytic functions defined by Ruscheweyh deri[r] ... See full document

... = + ∑ ∞ (1.1) which are analytic in the unit disc D = : || < 1. Let S denote the subclass of A that is univalent in D. Let ∗ denote the starlike subclass of S. It is well known that ∈ ∗ if and only if ... See full document

... who indeed referred to numerous earlier investigations involving functions whose derivative has a positive real part.. To prove our main result, we need the following lemmas.[r] ... See full document

... These functions are called starlike functions with respect to symmetric points and were introduced by Sakaguchi [1] in ...starlike functions with respect to conjugate points and the class of starlike ... See full document