On q-ANALOGUE of Differential Subordination Associated with Lemniscate of Bernoulli

This article comprises the study of differential subordination with analogue of q-derivative. It includes the sufficient condition on γ for 1+γ∂zqhz/hnz to be subordinated by 1+Az/1+Bz, −1≤B<A≤1, and implies that hz≺1+z, where hz is the analytic function in the open unit disk. Moreover, certain s...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Mohsan Raza, Hira Naz, Sarfraz Nawaz Malik, Sahidul Islam
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/fc3d7d1cd335474997abea7ef5d6b377
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:fc3d7d1cd335474997abea7ef5d6b377
record_format	dspace
spelling	oai:doaj.org-article:fc3d7d1cd335474997abea7ef5d6b3772021-11-15T01:19:07ZOn q-ANALOGUE of Differential Subordination Associated with Lemniscate of Bernoulli2314-478510.1155/2021/5353372https://doaj.org/article/fc3d7d1cd335474997abea7ef5d6b3772021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5353372https://doaj.org/toc/2314-4785This article comprises the study of differential subordination with analogue of q-derivative. It includes the sufficient condition on γ for 1+γ∂zqhz/hnz to be subordinated by 1+Az/1+Bz, −1≤B<A≤1, and implies that hz≺1+z, where hz is the analytic function in the open unit disk. Moreover, certain sufficient conditions for q-starlikeness of analytic functions related with lemniscate of Bernoulli are determined.Mohsan RazaHira NazSarfraz Nawaz MalikSahidul IslamHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Mohsan Raza Hira Naz Sarfraz Nawaz Malik Sahidul Islam On q-ANALOGUE of Differential Subordination Associated with Lemniscate of Bernoulli
description	This article comprises the study of differential subordination with analogue of q-derivative. It includes the sufficient condition on γ for 1+γ∂zqhz/hnz to be subordinated by 1+Az/1+Bz, −1≤B<A≤1, and implies that hz≺1+z, where hz is the analytic function in the open unit disk. Moreover, certain sufficient conditions for q-starlikeness of analytic functions related with lemniscate of Bernoulli are determined.
format	article
author	Mohsan Raza Hira Naz Sarfraz Nawaz Malik Sahidul Islam
author_facet	Mohsan Raza Hira Naz Sarfraz Nawaz Malik Sahidul Islam
author_sort	Mohsan Raza
title	On q-ANALOGUE of Differential Subordination Associated with Lemniscate of Bernoulli
title_short	On q-ANALOGUE of Differential Subordination Associated with Lemniscate of Bernoulli
title_full	On q-ANALOGUE of Differential Subordination Associated with Lemniscate of Bernoulli
title_fullStr	On q-ANALOGUE of Differential Subordination Associated with Lemniscate of Bernoulli
title_full_unstemmed	On q-ANALOGUE of Differential Subordination Associated with Lemniscate of Bernoulli
title_sort	on q-analogue of differential subordination associated with lemniscate of bernoulli
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/fc3d7d1cd335474997abea7ef5d6b377
work_keys_str_mv	AT mohsanraza onqanalogueofdifferentialsubordinationassociatedwithlemniscateofbernoulli AT hiranaz onqanalogueofdifferentialsubordinationassociatedwithlemniscateofbernoulli AT sarfraznawazmalik onqanalogueofdifferentialsubordinationassociatedwithlemniscateofbernoulli AT sahidulislam onqanalogueofdifferentialsubordinationassociatedwithlemniscateofbernoulli
_version_	1718429022644338688

On q-ANALOGUE of Differential Subordination Associated with Lemniscate of Bernoulli

Ejemplares similares