scholarly journals Third Hankel determinant for starlike and convex functions with respect to symmetric points

2016 ◽  
Vol 70 (1) ◽  
pp. 37 ◽  
Author(s):  
D. Vamshee Krishna ◽  
B. Venkateswarlu ◽  
T. RamReddy
Keyword(s):  
Upper Bound ◽  
Convex Functions ◽  
Hankel Determinant ◽  
Toeplitz Determinants ◽  
Starlike And Convex Functions ◽  
Symmetric Points

The objective of this paper is to obtain best possible upper bound to the \(H_{3}(1)\)  Hankel determinant for starlike and convex functions with respect to symmetric points, using Toeplitz determinants.

An upper bound to the nonlinear functional for certain subclasses of analytic functions associated with Hankel determinant

2014 ◽  
Vol 07 (02) ◽  
pp. 1350042
Author(s):  
D. Vamshee Krishna ◽  
T. Ramreddy
Keyword(s):  
Upper Bound ◽  
Convex Functions ◽  
Analytic Functions ◽  
Hankel Determinant ◽  
Toeplitz Determinants ◽  
Nonlinear Functional ◽  
Determinant Formula ◽  
Starlike And Convex Functions ◽  
Second Hankel Determinant ◽  
Strongly Starlike

The objective of this paper is to obtain an upper bound to the second Hankel determinant [Formula: see text] for the functions belonging to strongly starlike and convex functions of order α(0 < α ≤ 1). Further, we introduce a subclass of analytic functions and obtain the same coefficient inequality for the functions in this class, using Toeplitz determinants.

scholarly journals Coefficient Bounds for Some Families of Starlike and Convex Functions of Reciprocal Order

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Muhammad Arif ◽  
Maslina Darus ◽  
Mohsan Raza ◽  
Qaiser Khan
Keyword(s):  
Upper Bound ◽  
Convex Functions ◽  
Hankel Determinant ◽  
Coefficient Estimates ◽  
Coefficient Bounds ◽  
Starlike And Convex Functions

The aim of the present paper is to investigate coefficient estimates, Fekete-Szegő inequality, and upper bound of third Hankel determinant for some families of starlike and convex functions of reciprocal order.

scholarly journals Coefficient inequality for transforms of starlike and convex functions

2015 ◽  
Vol 24 (1) ◽  
pp. 69-75
Author(s):  
D. VAMSHEE KRISHNA ◽  
◽  
B. VENKATESWARLU ◽  
T. RAMREDDY ◽  
◽  
...  
Keyword(s):  
Analytic Function ◽  
Complex Plane ◽  
Upper Bound ◽  
Convex Functions ◽  
Unit Disc ◽  
Open Unit ◽  
Open Unit Disc ◽  
Toeplitz Determinants ◽  
Starlike And Convex Functions ◽  
Coefficient Inequality

The objective of this paper is to obtain an upper bound for the second Hankel functional associated with the k th root transform ... normalized analytic function f(z) belonging to starlike and convex functions, defined on the open unit disc in the complex plane, using Toeplitz determinants.

scholarly journals Bounds on Hankel determinant for starlike and convex functions with respect to symmetric points

2016 ◽  
Vol 3 (1) ◽  
pp. 1160557 ◽  
Author(s):  
Ambuj K. Mishra ◽  
Jugal K. Prajapat ◽  
Sudhananda Maharana ◽  
Hari M. Srivastava
Keyword(s):  
Convex Functions ◽  
Hankel Determinant ◽  
Starlike And Convex Functions ◽  
Symmetric Points

Starlike and convex functions with respect to symmetric conjugate points involving conical domain

2018 ◽  
Vol 68 (1) ◽  
pp. 89-102
Author(s):  
C. Ramachandran ◽  
R. Ambrose Prabhu ◽  
Srikandan Sivasubramanian
Keyword(s):  
Convex Functions ◽  
Domain Growth ◽  
Conjugate Points ◽  
Coefficient Estimates ◽  
Interesting Application ◽  
New Class ◽  
Starlike And Convex Functions ◽  
Distortion Estimates ◽  
Symmetric Points

AbstractEnough attentions to domains related to conical sections has not been done so far although it deserves more. Making use of the conical domain the authors have defined a new class of starlike and Convex Functions with respect to symmetric points involving the conical domain. Growth and distortion estimates are studied with convolution using domains bounded by conic regions. Certain coefficient estimates are obtained for domains bounded by conical region. Finally interesting application of the results are also highlighted for the function Ωk,βdefined by Noor.

scholarly journals Hankel Determinant for -Valent Alpha-Convex Functions

Geometry ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-4
Author(s):  
Gagandeep Singh ◽  
B. S. Mehrok
Keyword(s):  
Upper Bound ◽  
Convex Functions ◽  
Unit Disc ◽  
Hankel Determinant

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 .

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