Applications of generalized fractional integral operator to unified subclass of prestarlike functions with negative coefficients

Authors

  • Santosh B. JOSHI Department of Mathematics Walchand College of Engineering Sangli 416415, India, e-mail: joshisb@hotmail.com, santosh.joshi@walchandsangli.ac.in
  • Sayali S. JOSHI Department of Mathematics Sanjay Bhokare Group of Institutes, Miraj Miraj 416410, India, e-mail: joshiss@sbgimiraj.org
  • Haridas PAWAR Department of Mathematics SVERI’s College of Engineering Pandharpur Pandharpur 413304, India, e-mail: haridas_pawar007@yahoo.co.in

DOI:

https://doi.org/10.24193/subbmath.2018.1.04

Keywords:

Univalent function, coefficient estimates, distortion theorem.

Abstract

In this paper, we have introduced and studied various properties of unified class of prestarlike functions with negative coefficients in the unit disc U . Also distortion theorem involving a generalized fractional integral operator for functions in this class is established.

Mathematics Subject Classification (2010): 30C45.

References

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Srivastava, H.M., Aouf, M.K., Some applications of fractional calculus operators to certain subclasses of prestarlike functions with negative coefficients, Comp. Math. Appl., 30(1995), no. 1, 53-61.

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Published

2018-03-30

How to Cite

JOSHI, S. B., JOSHI, S. S., & PAWAR, H. (2018). Applications of generalized fractional integral operator to unified subclass of prestarlike functions with negative coefficients. Studia Universitatis Babeș-Bolyai Mathematica, 63(1), 59–69. https://doi.org/10.24193/subbmath.2018.1.04

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