Estimates on Initial Coefficients of Certain Subclasses of Bi-Univalent Functions Associated with Al-Oboudi Differential Operator

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Authors

  • Amol B. Patil
     ,IN
  • Uday H. Naik
     ,IN

DOI:

https://doi.org/10.18311/jims/2017/6126

Keywords:

Univalent Functions, Bi-Univalent Functions, Al-Oboudi Differential Operator, Salagean's Differential Operator
Mathematical Analysis & Logic

Abstract

In the present investigation we introduce two subclasses ΔΣδ,μ [η, α, λ] and ΔΣδ,μ (η, β, λ) of the function class Σ of bi-univalent functions defined in the open unit disk. These subclasses are defined by using the Al-Oboudi differential operator, which is the generalized Salagean's differential operator. Also we find estimates on initial coeffcients |a2| and |a3| for the functions in these subclasses and consider some related subclasses in connection with these subclasses.

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Published

2017-01-02

How to Cite

Patil, A. B., & Naik, U. H. (2017). Estimates on Initial Coefficients of Certain Subclasses of Bi-Univalent Functions Associated with Al-Oboudi Differential Operator. The Journal of the Indian Mathematical Society, 84(1-2), 73–80. https://doi.org/10.18311/jims/2017/6126

Issue

Volume 84, Issue 1-2, January-June 2017

Section

Articles

License

Copyright (c) 2017 Amol B. Patil, Uday H. Naik

Creative Commons License

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

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Europe PMC
Received 2016-06-10
Accepted 2016-06-22
Published 2017-01-02

 

References

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