Avkhadiev–Backer type p-valent conditions for biharmonic functions

dc.contributor.author	Nasibullin R.
dc.date.accessioned	2022-02-09T20:38:38Z
dc.date.available	2022-02-09T20:38:38Z
dc.date.issued	2021
dc.identifier.issn	1664-2368
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/169526
dc.description.abstract	This paper is devoted to locally univalent complex-valued biharmonic functions. We obtain subclasses of biharmonic multivalet functions and get certain sufficient conditions for functions to be in these classes. We construct new families of biharmonic univalent and p-valent mappings of the unit disk similar to Avkhadiev–Becker type conditions for analytic functions. We also consider biharmonic functions defined in the exterior of the unit disk. New univalent and p-valent conditions for harmonic mappings of the unit disk are obtained.
dc.relation.ispartofseries	Analysis and Mathematical Physics
dc.subject	Becker univalence condition
dc.subject	Biharmonic mapping
dc.subject	Global univalence
dc.subject	Interior mapping
dc.subject	Locally univalent function
dc.subject	Multivalent function
dc.title	Avkhadiev–Backer type p-valent conditions for biharmonic functions
dc.type	Article
dc.relation.ispartofseries-issue	2
dc.relation.ispartofseries-volume	11
dc.collection	Публикации сотрудников КФУ
dc.source.id	SCOPUS16642368-2021-11-2-SID85102563956

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