[PDF] Top 20 Bounds of Hankel Determinant for a Class of Univalent Functions

... Research Article Bounds of Hankel Determinant for a Class of Univalent Functions Sarika Verma, Sushma Gupta, and Sukhjit Singh Department of Mathematics, Sant Longowal Institute of Engin[r] ... See full document

... mean univalent functions. In [–], the es- timates for the Hankel determinant of areally mean p-valent functions were ...obtained bounds for Hankel determinants of ... See full document

... certain class of Caratheodory function were ...β, bounds and functionals for a Briot–Bouquet type of differential equation in the space of modified sigmoid function were ... See full document

... 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 shown that |H ... See full document

... which was introduced by Srivastava et al. (4). Estimate on the coefficients bounds of classes of meromorphic and univalent functions were widely researched in the literature. For instance, in 1948 ... See full document

... 3 Coefficient Bounds for the Function Class K Σ ∗ (µ,m,x) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 621 4 Coefficient Bounds for the ... See full document

... investigated bounds on initial coefficients of inverse of starlike functions of order α and their results were extended by Kapoor and Mishra ...sharp bounds on early coefficients of inverse ... See full document

... are univalent in U . Let Σ denote the class of bi-univalent functions in U given by ...the class Σ, see [21] (see also [2], [7], [6], [17], ...bi-univalent functions in ... See full document

... the class of bi-univalent functions defined in the unit disc ...the class Σ, (see ...bi-univalent functions and obtained bounds for the initial coefficients; it was ... See full document

... are univalent in ∆. Let Σ denote the class of bi- univalent functions in ∆ given by ...the class Σ, see [25] (see also [5], [6], [13], ...the bounds on the general coefficient |a ... See full document

... the class of functions which are univalent in U ...Since univalent functions are one to-one, they are invertible and the inverse functions need not be defined on the entire unit ... See full document

... the Hankel determinant of close-to-convex univalent ...the Hankel determinant problem for strongly close-to-convex ...analytic functions related with Bazilevic ... See full document

... the class F. The Fekete-Szeg¨ o problem for the known classes of univalent functions, starlike functions, convex functions and close- to-convex functions has been completely ... See full document

... the class SH as well as its geometric subclasses and obtained some coefficient ...harmonic univalent functions using by certain ...harmonic functions has been investigated by using fractional ... 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

... 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

... new class of complex valued harmonic functions associated with Wright hypergeometric functions which are orientation preserving and univalent in the open unit ...coefficient bounds, ... See full document

... equality holds if and only if p(z) = (   + η  ) +z –z + (   – η  ) –z +z ( ≤ η ≤ ) or one of its rotations. If v = , the equality holds if and only if p is the reciprocal of one of the functions such ... 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

... the functions in these classes are ...analytic functions with respect to conjugate points and with respect to symmetric conjugate points were widely investigated by various authors including Dahar and ... See full document