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
Subjects
Analytic functions
Calculus
Domains
Mathematicians
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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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Cites_doi 10.1017/S0080456800002751
10.1155/2018/8492072
10.3390/math7080724
10.11650/twjm/1500406676
10.5614/j.math.fund.sci.2020.52.2.4
10.1063/1.5041667
10.1080/17476939008814407
10.7153/jmi-10-11
10.7153/jmi-2020-14-05
10.15672/hujms.568306
10.15672/hjms.2017.480
10.3390/math8081334
10.1201/9781482289817
10.1112/jlms/s2-3.3.469
10.3390/sym12061043
10.1007/s13370-015-0387-7
10.1155/2007/62925
10.3390/sym11020292
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References 22
23
S. S. Miller (5) 1974; 19
24
A. W. Goodman (2) 1983
W. C. Ma (7) 1992
S. Yalçin (25) 2020; 52
P. L. Duren (1) 1983
J. E. Littlewood (3) 1944
11
12
R. K. Raina (10) 2015; 44
15
16
17
18
19
4
6
8
9
F. H. Jackson (14) 1910; 41
F. H. Jackson (13) 1908; 46
20
21
References_xml – volume-title: Lectures on the Theory of Functions
  year: 1944
  ident: 3
  contributor:
    fullname: J. E. Littlewood
– volume: 46
  start-page: 253
  year: 1908
  ident: 13
  article-title: XI.—on q-functions and certain difference operator
  publication-title: Earth and Environmental Science Transactions of the Royal Society of Edinburgh
  doi: 10.1017/S0080456800002751
  contributor:
    fullname: F. H. Jackson
– volume: 41
  start-page: 193
  year: 1910
  ident: 14
  article-title: On q-definite integrals
  publication-title: Quarterly Journal of Pure and Applied Mathematics
  contributor:
    fullname: F. H. Jackson
– ident: 17
  doi: 10.1155/2018/8492072
– ident: 19
  doi: 10.3390/math7080724
– volume-title: Univalent Functions
  year: 1983
  ident: 2
  contributor:
    fullname: A. W. Goodman
– ident: 9
  doi: 10.11650/twjm/1500406676
– volume: 19
  start-page: 213
  year: 1974
  ident: 5
  article-title: Bazilevic functions and generalized convexity
  publication-title: Revue Roumaine de Mathématiques Pures et Appliquées
  contributor:
    fullname: S. S. Miller
– volume-title: Proceedings of the Conference on Complex Analysis
  year: 1992
  ident: 7
  article-title: A unified treatment of some special classes of univalent functions
  contributor:
    fullname: W. C. Ma
– volume: 52
  start-page: 189
  issue: 2
  year: 2020
  ident: 25
  article-title: Hankel inequalities for a subclass of bi-univalent functions based on Salagean type q-difference operator
  publication-title: Journal of Mathematical & Fundamental Sciences
  doi: 10.5614/j.math.fund.sci.2020.52.2.4
  contributor:
    fullname: S. Yalçin
– ident: 12
  doi: 10.1063/1.5041667
– ident: 15
  doi: 10.1080/17476939008814407
– ident: 16
  doi: 10.7153/jmi-10-11
– ident: 22
  doi: 10.7153/jmi-2020-14-05
– volume-title: Univalent functions, Grundlehren der Math
  year: 1983
  ident: 1
  contributor:
    fullname: P. L. Duren
– ident: 21
  doi: 10.15672/hujms.568306
– volume: 44
  start-page: 1427
  year: 2015
  ident: 10
  article-title: On coefficient estimates for a certain class of starlike functions
  publication-title: Hacettepe Journal of Mathematics and Statistics
  contributor:
    fullname: R. K. Raina
– ident: 20
  doi: 10.15672/hjms.2017.480
– ident: 23
  doi: 10.3390/math8081334
– ident: 4
  doi: 10.1201/9781482289817
– ident: 6
  doi: 10.1112/jlms/s2-3.3.469
– ident: 24
  doi: 10.3390/sym12061043
– ident: 11
  doi: 10.1007/s13370-015-0387-7
– ident: 8
  doi: 10.1155/2007/62925
– ident: 18
  doi: 10.3390/sym11020292
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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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