Differential Subordinations of Arithmetic and Geometric Means of Some Functionals Related to a Sector-Reference-Cited by-同舟云学术

Differential Subordinations of Arithmetic and Geometric Means of Some Functionals Related to a Sector

Published:2011 Issue: Volume:2011 Page:1-19
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Lecko A.¹,Lecko M.²

Affiliation:

1. Department of Analysis and Differential Equations, University of Warmia and Mazury in Olsztyn, Street Zolnierska 14, 10-561 Olsztyn, Poland

2. Department of Mathematics, Rzeszów University of Technology, Street W. Pola 2, 35-959 Rzeszów, Poland

Abstract

Some general theorems on differential subordinations of some functionals connected with arithmetic and geometric means related to a sector are proved. These results unify a number of well known results concerning inclusion relation between the classes of analytic functions built with using arithmetic and geometric means.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2011/205845.pdf

Reference23 articles.

1. Second order differential inequalities in the complex plane

2. On differential subordinations and inclusion relation between classes of analytic functions

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