Abstract

On a new subclass of bi-univalent functions defined by using Salagean operator

Highlights

  • Let A denote the class of functions of the form∑ ∞ f (z) = z + anzn, n=2 (1.1)which are analytic in the open unit disk U = {z ∈ C : |z| < 1} and satisfy the normalization condition f (0) = f ′(0) − 1 = 0

  • We denote by Σ the class of all bi-univalent functions in U given by the Taylor–Maclaurin series expansion (1.1)

  • The aforementioned study of Srivastava et al [11] essentially revived the investigation of various subclasses of the bi-univalent function class Σ ; it was followed by such studies as those by Ali et al [2], Srivastava et al [12], and Jahangiri and Hamidi [7]

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Summary

Introduction

1. Introduction Let A denote the class of functions of the form Let S denote the subclass of functions in A , which are univalent in U (for details, see [5]).

Results
Conclusion

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