Concepedia

Two New Subclasses of Bi-Univalent Functions

Xiaofei Li, Anping Wang

2012 · 90 citations · 5 references

Concepts

Abstract

Abstract. In this paper, we introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc. We find estimates on the coefficients 2a and 3a for functions in these new subclasses.

References

5

Certain subclasses of analytic and bi-univalent functions

H. M. Srivastava, Akshaya Mishra, P. Gochhayat · Applied Mathematics Letters · 2010 · 725 citations

, , +4

On a coefficient problem for bi-univalent functions

Mordechai Lewin · Proceedings of the American Mathematical Society · 1967 · 438 citations

, , +5

The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in ¦z¦<1

E. Netanyahu · Archive for Rational Mechanics and Analysis · 1969 · 303 citations

, , +2

An extension of the univalent condition for a family of integral operators

Daniel Breaz, Nicoleta Breaz, H. M. Srivastava · Applied Mathematics Letters · 2008 · 72 citations

, , +5

Some applications of a subordination theorem for a class of analytic functions

H. M. Srivastava, Sevtap Sümer Eker · Applied Mathematics Letters · 2007 · 31 citations

, , +4