Fekete–Szegö problem for starlike and convex functions of complex order

Kanas, S.; Darwish, H. E.

doi:10.1016/j.aml.2010.03.008

Cited by 43 publications

(17 citation statements)

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“…Also, Goyal and Goswami [8] obtained the initial coefficient bounds for a class defined by fractional derivatives. Some more important results on coefficient inequalities can be found in [9], [10] and [11].…”

Section: Introductionmentioning

confidence: 99%

Coefficient Estimates and Quasi-Subordination Properties Associated with Certain Subclasses of Analytic and Bi-Univalent Functions

Goyal¹,

Kumar

2015

Mathematica Slovaca

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In the present paper, we obtain the estimates on initial coefficients of normalized analytic function f in the open unit disk with f and its inverse g = f −1 satisfying the conditions that zf (z)/f (z) and zg (z)/g(z) are both quasi-subordinate to a univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier known results are established.

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Section: Introductionmentioning

confidence: 99%

Coefficient Estimates and Quasi-Subordination Properties Associated with Certain Subclasses of Analytic and Bi-Univalent Functions

Goyal¹,

Kumar

2015

Mathematica Slovaca

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“…For the normalized analytic function f of the form: ( ) 2 3 2 3 , n f z z a z a z a C = + + + ∈  (1) in the unit disk…”

Section: Introductionmentioning

confidence: 99%

Fekete-Szeg&#246; Estimate for a Class of Starlike Functions Involving Certain Analytic Multiplier Transform

Makinde¹,

Oyekunle²,

Opoola³

2020

JAMP

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“…[10]). It is well known that the n th coefficient of function belonging to the class S is bounded by [5], [9], [17][18][19][20][21], [30], [33], etc. For a systematic survey on Fekete-Szegö problem of classical subclasses of S we refer [46].…”

Section: Introductionmentioning

confidence: 99%

Coefficient estimates of certain subclasses of analytic functions associated with Hohlov operator

Gochhayat

Prajapati

Sahoo

2019

Asian-European J. Math.

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A typical quandary in geometric functions theory is to study a functional composed of amalgamations of the coefficients of the pristine function. Conventionally, there is a parameter over which the extremal value of the functional is needed. The present paper deals with consequential functional of this type. By making use of linear operator due to Hohlov [12], a new subclass R c a,b of analytic functions defined in the open unit disk is introduced. For both real and complex parameter, the sharp bounds for the Fekete-Szegö problems are found. An attempt has also been taken to found the sharp upper bound to the second and third Hankel determinant for functions belonging to this class. All the extremal functions are express in term of Gauss hypergeometric function and convolution. Finally, the sufficient condition for functions to be in R c a,b is derived. Relevant connections of the new results with well known ones are pointed out.

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Fekete–Szegö problem for starlike and convex functions of complex order

Cited by 43 publications

References 9 publications

Coefficient Estimates and Quasi-Subordination Properties Associated with Certain Subclasses of Analytic and Bi-Univalent Functions

Coefficient Estimates and Quasi-Subordination Properties Associated with Certain Subclasses of Analytic and Bi-Univalent Functions

Fekete-Szeg&#246; Estimate for a Class of Starlike Functions Involving Certain Analytic Multiplier Transform

Coefficient estimates of certain subclasses of analytic functions associated with Hohlov operator

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Fekete–Szegö problem for starlike and convex functions of complex order

Cited by 43 publications

References 9 publications

Coefficient Estimates and Quasi-Subordination Properties Associated with Certain Subclasses of Analytic and Bi-Univalent Functions

Coefficient Estimates and Quasi-Subordination Properties Associated with Certain Subclasses of Analytic and Bi-Univalent Functions

Fekete-Szeg&amp;#246; Estimate for a Class of Starlike Functions Involving Certain Analytic Multiplier Transform

Coefficient estimates of certain subclasses of analytic functions associated with Hohlov operator

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Fekete-Szegö Estimate for a Class of Starlike Functions Involving Certain Analytic Multiplier Transform