Applications of Jack's lemma for analytic functions involving $\alpha$-convex functions

Volume 13, Issue 2, pp 113--118 http://dx.doi.org/10.22436/jnsa.013.02.06

Publication Date: October 19, 2019 Submission Date: March 06, 2018 Revision Date: July 01, 2019 Accteptance Date: July 23, 2019

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Authors

Syed Zakir Hussain Bukhari - Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur-10250 (AJK), Pakistan. Maryam Nazir - Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur-10250 (AJK), Pakistan.

Abstract

In this paper, we introduce two new subclasses of $\alpha$-convex functions and study the applications of Jack's Lemma in the characterization of functions in these classes.

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ISRP Style

Syed Zakir Hussain Bukhari, Maryam Nazir, Applications of Jack's lemma for analytic functions involving $\alpha$-convex functions, Journal of Nonlinear Sciences and Applications, 13 (2020), no. 2, 113--118

AMA Style

Bukhari Syed Zakir Hussain, Nazir Maryam, Applications of Jack's lemma for analytic functions involving $\alpha$-convex functions. J. Nonlinear Sci. Appl. (2020); 13(2):113--118

Chicago/Turabian Style

Bukhari, Syed Zakir Hussain, Nazir, Maryam. "Applications of Jack's lemma for analytic functions involving $\alpha$-convex functions." Journal of Nonlinear Sciences and Applications, 13, no. 2 (2020): 113--118

Keywords

Analytic functions
$\alpha$-convex functions
Jack's Lemma

MSC

30C45
30C80

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Applications of Jack's lemma for analytic functions involving \(\alpha\)-convex functions