Conditions for the univalence of certain integral operatos

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Published: Dec 10, 2012
DOI: https://doi.org/10.5556/j.tkjm.44.2013.1199
Keywords:
integral operators univalent functions.

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Rasoul Aghalary
Ali Ebadian
Parviz Arjomandinia

Abstract

In the present paper, we consider two integral operators defined on special subclass of $\mathcal{A}$,namely $U_n(\lambda,\mu)$ with $n\in\mathbb{N}$. Using the extension of Becker's lemma, we obtain new univalence criterions for the operators in the open unit disk $\mathbb{D}=\{z\in\mathbb{C}:|z|<1\}.$ Finally, we deduce some corollaries of the main results.

Article Details

How to Cite
Aghalary, R., Ebadian, A., & Arjomandinia, P. (2012). Conditions for the univalence of certain integral operatos. Tamkang Journal of Mathematics, 44(4), 387–393. https://doi.org/10.5556/j.tkjm.44.2013.1199
Issue
Vol. 44 No. 4 (2013)
Section
Papers
Author Biographies

Rasoul Aghalary

Department ofMathematics, Faculty of Science, Urmia University, Urmia, Iran.

Ali Ebadian

Department ofMathematics, Faculty of Science, Urmia University, Urmia, Iran.

Parviz Arjomandinia

Department ofMathematics, Faculty of Science, Urmia University, Urmia, Iran.

References

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