Applications of Fractional Derivative to Study the Mapping Properties of Starlike Functions and the Convexity of Analytic Functions-II

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Authors

  • P. K. Banerji
     Department of Mathematics, JNV University, Jodhpur-342005 ,IN
  • G. M. Shenan
     Department of Mathematics, JNV University, Jodhpur-342005 ,IN

Keywords:

Convex Functions, Starlike Functions, Fractional Derivative Operator, Convolution.

Abstract

In the present paper a function is introduced using certain modified fractional derivative operator and the convolutions of three functions, analytic in the unit disc, are mentioned. Also investigated are the characterization properties of the said function in the open unit disc, in order to establish its belongingness to some subclasses of analytic functions and finally, some associations of the said properties with the convolution are mentioned.

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Published

2003-12-01

How to Cite

Banerji, P. K., & Shenan, G. M. (2003). Applications of Fractional Derivative to Study the Mapping Properties of Starlike Functions and the Convexity of Analytic Functions-II. The Journal of the Indian Mathematical Society, 70(1-4), 25–32. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/21889

Issue

Volume 70, Issue 1-4, January-December 2003

Section

Articles

License

Copyright (c) 2003 P. K. Banerji, G. M. Shenan

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.