Journal of the Ramanujan Mathematical Society

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On the Derivative of Some Bazilevic Functions


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1 Department of Mathematics and Computer Science, University College of Swansea, Singleton Park, Swansea, SA2 8PP, United Kingdom
     

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Denote by B(α,β,h,g) the class of functions f which are regular in D = {z: |z| < 1 } satisfying f(0) = 0, f''(0) = 1 and defined for β real and α > 0.

Keywords

Bazilevic Functions, Logarithmic Derivatives, Growth Rate.
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  • On the Derivative of Some Bazilevic Functions

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Authors

El-Ashwah Rabha Md
Department of Mathematics and Computer Science, University College of Swansea, Singleton Park, Swansea, SA2 8PP, United Kingdom
D. K. Thomas
Department of Mathematics and Computer Science, University College of Swansea, Singleton Park, Swansea, SA2 8PP, United Kingdom

Abstract


Denote by B(α,β,h,g) the class of functions f which are regular in D = {z: |z| < 1 } satisfying f(0) = 0, f''(0) = 1 and defined for β real and α > 0.

Keywords


Bazilevic Functions, Logarithmic Derivatives, Growth Rate.