scholarly journals Landau-Bloch theorems for bounded biharmonic mappings

Filomat ◽  
2019 ◽  
Vol 33 (14) ◽  
pp. 4593-4601 ◽  
Author(s):  
Rasoul Aghalary ◽  
Ali Mohammadian ◽  
Jay Jahangiri
Keyword(s):  
Coefficient Bounds ◽  
Biharmonic Functions

We determine coefficient bounds for bounded planar biharmonic mappings and generalize the Landau-Bloch univalency theorems for such bounded biharmonic functions. The univalence radii presented here improve many related results published to date, including the most recent one [Complex Var. Elliptic Equ. 58(12) (2013), 1667-1676] and are sharp in some given cases.

scholarly journals Coefficient bounds for some families of starlike and convex functions of complex order

2007 ◽  
Vol 20 (12) ◽  
pp. 1218-1222 ◽  
Author(s):  
Osman Altıntaş ◽  
Hüseyin Irmak ◽  
Shigeyoshi Owa ◽  
H.M. Srivastava
Keyword(s):  
Convex Functions ◽  
Coefficient Bounds ◽  
Starlike And Convex Functions ◽  
Complex Order

scholarly journals Chebyshev Polynomials for Certain Subclass of Bazilevic Functions Associated with Ruscheweyh Derivative

2021 ◽  
Vol 45 (02) ◽  
pp. 173-180
Author(s):  
A. R. S. JUMA ◽  
S. N. AL-KHAFAJI ◽  
O. ENGEL
Keyword(s):  
Chebyshev Polynomials ◽  
Derivative Operator ◽  
Coefficient Bounds ◽  
Ruscheweyh Derivative Operator ◽  
Ruscheweyh Derivative ◽  
Bazilevic Functions

In this paper, through the instrument of the well-known Chebyshev polynomials and subordination, we defined a family of functions, consisting of Bazilević functions of type α, involving the Ruscheweyh derivative operator. Also, we investigate coefficient bounds and Fekete-Szegö inequalities for this class.

scholarly journals Coefficients estimates of some subclasses of analytic functions related with conic domain

2013 ◽  
Vol 21 (2) ◽  
pp. 181-188 ◽  
Author(s):  
Sarfraz Nawaz Malik ◽  
Mohsan Raza ◽  
Muhammad Arif ◽  
Saqib Hussain
Keyword(s):  
Integral Operator ◽  
Analytic Functions ◽  
Coefficient Bounds ◽  
Conic Domain

Abstract In this paper, the authors determine the coefficient bounds for functions in certain subclasses of analytic functions related with the conic regions, which are introduced by using the concept of bounded boundary and bounded radius rotations. The effect of certain integral operator on these classes has also been examined.

Coefficient bounds for a subclass of starlike functions of complex order

2011 ◽  
Vol 218 (3) ◽  
pp. 693-698
Author(s):  
Murat Çağlar ◽  
Erhan Deniz ◽  
Halit Orhan
Keyword(s):  
Starlike Functions ◽  
Coefficient Bounds ◽  
Complex Order
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