Open Access
Original Articles
Subordination and Superordination Results for Komatu Integral Transforms
T.N. Shanmugamdrtns2001@yahoo.comDepartment of MathematicsCollege of EngineeringAnna UniversityChennai-25, IndiaView full profile → , S. Sivasubramaniansivasaisastha@rediffmail.comDepartment of MathematicsUniversity College of EngineeringAnna University-Chennai Saram, 604 307, IndiaView full profile → , C. Ramachandrancrjsp2004@yahoo.comDepartment of MathematicsUniversity College of EngineeringAnna University-Chennai, Villupuram, IndiaView full profile →
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- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2009.10698564
- Pages:
- 71–79
Abstract
Let A be the class of all normalized analytic functions f (z) in the open unit disk satisfying f (0) = 0 and f′(0) = 1. Let q1 and q2 be univalent in Δ with q1(0) = q2(0) = 1. We give some applications of first order differential subordination and superordination to obtain sufficient conditions for a normalized analytic functions f with f (0) = f′(0) − 1 = 0 to satisfy undefined where is the Komatu integral operator on A.
Keywords
References
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