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A Generalized Sub Class of Univalent Starlike Functions with a Linear Operator

Journal Name:

  • International Journal of Applied Research and Technology

Publication Year:

  • 2017
DOI: 
https://doi.org/10.24163/ijart/2017/2(2):113-122

Key Words:

Author Name
Abstract (2. Language): 
This paper deals with a new class T* (α,β,λ) which is a subclass of uniformly starlike functions involving a linear operator L(a,b;c). Coefficients inequality, Distortion theorem, Extreme points, Radius of starlikeness and radius of convexity for functions belonging to this class are also obtained.
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  • 2
113
122
  • English

REFERENCES

References: 

H. Silverman (1975) Univalent functions with
negative coefficients, Proc. Amer. Math. Soc.,
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B.C. Carlson and Shafeer (2002) Starlike and
prestarlike hypergeometric functions, SIAM J.
Math. Anal., 15, 737-745.
S.Ruscheweyh (1975) New criteria for
Univalent Functions, Proc. Amer. Math., Soc.,
49, 109-115.
G. Murugusundaramoorthy and N. Mahesh,
(2004) A new subclass of uniformly convex
functions and a corresponding subclass of
starlike functions with fixed second coefficient,
J. Inequal. Pure and Appl. Math., 5(4) Art. 85,
2004.

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