Differential Subordinations in Harmonic Mappings

M. Aydogan; D. Bshouty; S. S. Miller; F. M. Sakar

doi:10.1007/978-3-030-76473-9_2

Differential Subordinations in Harmonic Mappings

M. Aydogan, D. Bshouty^*, S. S. Miller, F. M. Sakar

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Differential subordination of analytic functions proved to be useful in many applications. The book of Miller and Mocanu ((2000) Differential Subordinations. In Theory and applications, monographs and textbooks in pure and applied mathematics, vol 225. Marcel Dekker Inc, New York) sums up most of the advancement in the field and the references to the date of its publication. The theory of harmonic mappings can benefit from this theory. We attempt to discuss some aspects of this generalization.

Original language	English
Title of host publication	Operator Theory
Subtitle of host publication	Advances and Applications
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	19-27
Number of pages	9
DOIs	https://doi.org/10.1007/978-3-030-76473-9_2
Publication status	Published - 2021

Publication series

Name	Operator Theory: Advances and Applications
Volume	286
ISSN (Print)	0255-0156
ISSN (Electronic)	2296-4878

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

Differential inequalities
Differential subordination
Harmonic mappings

Access to Document

10.1007/978-3-030-76473-9_2

Cite this

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KW - Harmonic mappings

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Differential Subordinations in Harmonic Mappings

Abstract

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Keywords

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