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Research Article

$\mathcal{N}$-th ORDER DIFFERENTIAL INEQUALITIES IN THE COMPLEX PLANE

R
Rajesh Kumar Maurya Department of Mathematics, Govt. Post Graduate College, Gopeshwar, Uttarakhand, INDIA
Volume 20, Issue 2 Pages 189-202 August 30, 2024 150 downloads
Article overview

Abstract

There are numerous articles dealing with first and second order differential inequalities and differential subordinations and only three articles which are related to third order differential inequalities and subordinations. In this paper we generalise these inequalities for $\mathcal{N}$-th order differential inequalities for functions belonging to class of analytic functions $f$ such that $f(0)=0.$

Keywords and Phrases

SubordinationDifferential subordinationDifferential inequalityMaximum modulus.

AMS Subject Classification

30C45, 30C80.

Reference information

How to Cite

Rajesh Kumar Maurya (2024). $\mathcal{N}$-th ORDER DIFFERENTIAL INEQUALITIES IN THE COMPLEX PLANE. South East Asian Journal of Mathematics and Mathematical Sciences, 20(2), 189-202.
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