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The authors obtained a new subclass about strongly starlike and strongly convex functions with respect to Komatu integral transforms and the inclusion properties of these classes such as 𝓢𝒑𝑻(𝝀, 𝑰𝝂 𝝆 ) and 𝓤𝓒𝓥𝓣(𝝀, 𝑰𝝂 𝝆 ) were discussed . Furthermore, a new subclass about uniformly starlike functions along uniformly convex functions including negative coefficients defined by the Komatu integral transforms are introduced. The various properties about these classes are obtained here including (for instance) coefficient estimates, extreme points, distortion and covering theorems. Mathematics Subject Classification: Primary 30C45



Author(s):  
Dr. Jitendra Awasthi

In this paper we have introduced a new subclass ( , , , , , ) ,, T a c A B p m l    of meromorphic p-valent functions in the punctured unit disk U*={z∈C:0 less than |z| less than 1} by sing a linear operator p m l I , , .Coefficients inequalities, Distortion theorems, Closure properties, Radii of starlikeness and convexity are obtained for this class. 2010 AMS CLASSIFICATION: Primary 30C45.



Filomat ◽  
2010 ◽  
Vol 24 (1) ◽  
pp. 69-85 ◽  
Author(s):  
Yong Sun ◽  
Wei-Ping Kuang ◽  
Zhi-Hong Liu

In this paper, we derive some subordination and superordination results associated with the family of Jung-Kim-Srivastava integral operators defined on the space of meromorphic functions. Several sandwich-type results are also obtained. 2010 Mathematics Subject Classifications. Primary 30C45; Secondary 30C80. .



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