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Third Hankel determinant for a subclass of analytic univalent functions

Third Hankel determinant for a subclass of analytic univalent functions

... 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

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Certain Subclass of Analytic Univalent Functions Using q - Differential Operator

Certain Subclass of Analytic Univalent Functions Using q - Differential Operator

... of analytic functions in compact ...of functions which are analytic in the open ...normalized analytic functions and q  hypergeometric ... See full document

9

Certain Subclass of Analytic Univalent Functions Using q - Differential Operator

Certain Subclass of Analytic Univalent Functions Using q - Differential Operator

... of analytic functions in compact ...of functions which are analytic in the open ...normalized analytic functions and q  hypergeometric ... See full document

9

Third Hankel Determinant for Certain Subclass of Analytic Functions

Third Hankel Determinant for Certain Subclass of Analytic Functions

... are analytic in the open unit disk U = { z ∈ C : | z | < 1 } and satisfy the condition f ( 0 ) = f 0 ( 0 ) − 1 = ...of univalent, starlike, convex and bounded turning functions ...a ... See full document

6

On Subclass of Analytic Univalent Functions Associated with Negative Coefficients

On Subclass of Analytic Univalent Functions Associated with Negative Coefficients

... new subclass of analytic functions in the open unit disk U {z ∈ C : |z| < 1} which is defined by new generalized derivative ...of analytic functions belonging to the subclass ... See full document

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Second Hankel Determinant for Bi-Univalent Analytic Functions Associated with Hohlov Operator

Second Hankel Determinant for Bi-Univalent Analytic Functions Associated with Hohlov Operator

... every univalent function f ∈ Ω contains a disk of radius 1 4 ...a univalent analytic function on the disk ∆ ρ := {z : z ∈ C and |z| < ρ; ρ ≥ ... See full document

8

Coefficient Problem for Certain Classes of Analytic Functions using Hankel Determinant

Coefficient Problem for Certain Classes of Analytic Functions using Hankel Determinant

... 1. Chuah Puoi Choo and Aini Janteng, Estimate on the Second Hankel functional for a subclass of close-to-convex functions with respect to symmetric points, Int. J. of Math. Anal., 7(16) (2013), ... See full document

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Hankel Determinant for a Class of Analytic Functions Related with Lemniscate of Bernoulli

Hankel Determinant for a Class of Analytic Functions Related with Lemniscate of Bernoulli

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

8

Bounds for the second Hankel determinant of certain univalent functions

Bounds for the second Hankel determinant of certain univalent functions

... starlike functions are characterized by the quantity zf (z)/f (z) lying in some domain in the right ...starlike functions were unified by subordination in ...starlike functions is the same as the one ... See full document

17

Hankel determinant for analytic functions with respect to other points

Hankel determinant for analytic functions with respect to other points

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

9

Upper bound of the third Hankel determinant for a class of analytic functions related with lemniscate of Bernoulli

Upper bound of the third Hankel determinant for a class of analytic functions related with lemniscate of Bernoulli

... 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

8

GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS

GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS

... 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

7

Hankel determinant problem of a subclass of analytic functions

Hankel determinant problem of a subclass of analytic functions

... of analytic function satisfying the condition f (0) = 0, f’ (0) - 1 = 0 in the open unit disc E = { z : | z |< 1 } ...of univalent, starlike, convex, and close-to-convex func- tions, ... See full document

7

2. Faber Polynomials
  Coefficient Estimates for Bi-univalent Sakaguchi Type Functions

2. Faber Polynomials Coefficient Estimates for Bi-univalent Sakaguchi Type Functions

... The Faber polynomials introduced by Faber [6] play an important role in various areas of mathematical sciences, especially in geometric function theory. The recent publications [9] and [11] applying the Faber polynomial ... See full document

13

Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative

Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative

... La, bLb, cf La, cf b, c / ∈ Z − 0 , f ∈ A , 1.10 holds. Each of the following definitions will also be required in our present investigation. Definition 1.1 cf. 4, 5 , see also 6 . Let the function f be analytic ... See full document

10

Estimating coefficients for certain subclasses of meromorphic and bi univalent functions

Estimating coefficients for certain subclasses of meromorphic and bi univalent functions

... Since univalent functions are one-to-one, they are invertible and the inverse functions need not be defined on the entire unit disk U ...every univalent function f ∈ S contains a disk of radius ... See full document

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8. Coefficient inequalities for certain classes of analytic
                        functions associated with Hankel determinant

8. Coefficient inequalities for certain classes of analytic functions associated with Hankel determinant

... 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

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Application of quasi-subordination for certain subclasses of bi-univalent functions of complex order

Application of quasi-subordination for certain subclasses of bi-univalent functions of complex order

... all functions in A which are univalent in ...between analytic functions, let the functions f and g be analytic in ...(z), analytic in ∆ ... See full document

6

On certain analytic univalent functions

On certain analytic univalent functions

... Abstract. We consider the class of analytic functions B(α) to investigate some properties for this class. The angular estimates of functions in the class B(α) are obtained. Finally, we derive some ... See full document

6

The sharp bound of the Hankel determinant of the third kind for starlike functions with real coefficients

The sharp bound of the Hankel determinant of the third kind for starlike functions with real coefficients

... The sharp bound of the Hankel determinant of the third kind for starlike functions with real coefficients.. Oh Sang Kwon 1 and Young Jae Sim 1 *5[r] ... See full document

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