Sufficiency Criteria for q-Starlike Functions Associated with Cardioid

This article deals with the q-differential subordinations for starlike functions associated with the lemniscate of Bernoulli and cardioid domain. The primary goal of this work is to find the conditions on γ for 1+γz∂q hz/hn z ≺1+z, where hz is analytic function and is subordinated by the function wh...

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Published inJournal of function spaces Vol. 2021; pp. 1 - 9
Main Authors Zainab, Saira, Shakeel, Ayesha, Imran, Muhammad, Muhammad, Nazeer, Naz, Hira, Malik, Sarfraz Nawaz, Arif, Muhammad
Format Journal Article
LanguageEnglish
Published New York Hindawi 2021
Hindawi Limited
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Abstract This article deals with the q-differential subordinations for starlike functions associated with the lemniscate of Bernoulli and cardioid domain. The primary goal of this work is to find the conditions on γ for 1+γz∂q hz/hn z ≺1+z, where hz is analytic function and is subordinated by the function which is producing cardioid domain as its image domain while mapping the open unit disk. Along with this, certain sufficient conditions for q-starlikeness of analytic functions are determined.
AbstractList This article deals with the q-differential subordinations for starlike functions associated with the lemniscate of Bernoulli and cardioid domain. The primary goal of this work is to find the conditions on γ for 1+γz∂q hz/hn z ≺1+z, where hz is analytic function and is subordinated by the function which is producing cardioid domain as its image domain while mapping the open unit disk. Along with this, certain sufficient conditions for q-starlikeness of analytic functions are determined.
This article deals with the q -differential subordinations for starlike functions associated with the lemniscate of Bernoulli and cardioid domain. The primary goal of this work is to find the conditions on γ for 1 + γ z ∂ q   h z / h n   z   ≺ 1 + z , where h z is analytic function and is subordinated by the function which is producing cardioid domain as its image domain while mapping the open unit disk. Along with this, certain sufficient conditions for q -starlikeness of analytic functions are determined.
Author Zainab, Saira
Malik, Sarfraz Nawaz
Imran, Muhammad
Shakeel, Ayesha
Naz, Hira
Muhammad, Nazeer
Arif, Muhammad
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Snippet This article deals with the q-differential subordinations for starlike functions associated with the lemniscate of Bernoulli and cardioid domain. The primary...
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SubjectTerms Analytic functions
Calculus
Domains
Mathematicians
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Title Sufficiency Criteria for q-Starlike Functions Associated with Cardioid
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