A Concise Proof of Borel's Theorem on Coefficient Bounds

1967 ◽  
Vol 74 (9) ◽  
pp. 1094
Author(s):  
R. A. Whiteman
Keyword(s):  
Coefficient Bounds ◽  
Borel’S Theorem

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

Coefficient bounds for a certain class of close-to-convex functions

2018 ◽  
Author(s):  
Abdullah Yahya ◽  
Shaharuddin Cik Soh
Keyword(s):  
Convex Functions ◽  
Coefficient Bounds

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

scholarly journals Certain Coefficient Bounds forp-Valent Functions

2007 ◽  
Vol 2007 ◽  
pp. 1-11 ◽  
Author(s):  
C. Ramachandran ◽  
S. Sivasubramanian ◽  
H. Silverman
Keyword(s):  
Sharp Bounds ◽  
Coefficient Bounds

In the present paper, the authors obtain sharp bounds for certain subclasses ofp-valent functions. The results are extended to functions defined by convolution.

Unpredictability of initial coefficient bounds for m-fold symmetric bi-univalent starlike and convex functions defined by subordinations

2018 ◽  
Vol 29 (5-6) ◽  
pp. 793-802
Author(s):  
Murat Çağlar ◽  
Palpandy Gurusamy ◽  
Erhan Deniz
Keyword(s):  
Convex Functions ◽  
Coefficient Bounds ◽  
Initial Coefficient ◽  
Starlike And Convex Functions

Coefficient bounds for inverses of odd univalent functions

1984 ◽  
Vol 3 (1-3) ◽  
pp. 185-189 ◽  
Author(s):  
Richard J. Libera ◽  
Eligiusz J. Zlotkiewicz
Keyword(s):  
Univalent Functions ◽  
Coefficient Bounds
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