Sandwich-Type Theorems for a Family of Non-Bazilevic Functions Involving a q-Analog Integral Operator
被引:5
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作者:
Hadi, Sarem H.
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机构:
Univ Basrah, Coll Educ Pure Sci, Dept Math, Basrah 61001, Iraq
Univ Kebangsaan Malaysia, Fac Sci & Technol, Dept Math Sci, Bangi 43600, Selangor, MalaysiaUniv Basrah, Coll Educ Pure Sci, Dept Math, Basrah 61001, Iraq
Hadi, Sarem H.
[1
,2
]
Darus, Maslina
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机构:
Univ Kebangsaan Malaysia, Fac Sci & Technol, Dept Math Sci, Bangi 43600, Selangor, MalaysiaUniv Basrah, Coll Educ Pure Sci, Dept Math, Basrah 61001, Iraq
Darus, Maslina
[2
]
Ghanim, Firas
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机构:
Univ Sharjah, Coll Sci, Dept Math, Sharjah, U Arab EmiratesUniv Basrah, Coll Educ Pure Sci, Dept Math, Basrah 61001, Iraq
univalent functions;
q-calculus;
non-Bazilevic function;
best dominant;
best subordinate;
sandwich-type theorems;
SUBORDINATION;
D O I:
10.3390/math11112479
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
This article presents a new q-analog integral operator, which generalizes the q-Srivastava-Attiya operator. Using this q-analog operator, we define a family of analytic non-Bazilevic functions, denoted as T-q,tau+1,u(mu)(theta, lambda, M, N). Furthermore, we investigate the differential subordination properties of univalent functions using q-calculus, which includes the best dominance, best subordination, and sandwich-type properties. Our results are proven using specialized techniques in differential subordination theory.
机构:
Damietta Univ, Fac Sci, Dept Math, New Damietta 34517, Egypt
Al Qassim Univ, Coll Sci & Arts Al Badaya, Dept Math, Al Badaya 3803070, Saudi ArabiaDamietta Univ, Fac Sci, Dept Math, New Damietta 34517, Egypt
El-Deeb, Sheza M.
Bulboaca, Teodor
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机构:
Babes Bolyai Univ, Fac Math & Comp Sci, Cluj Napoca 400084, RomaniaDamietta Univ, Fac Sci, Dept Math, New Damietta 34517, Egypt
机构:
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia BangiSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia Bangi
Ibrahim R.W.
Darus M.
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机构:
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia BangiSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia Bangi
机构:
Univ Victoria, Dept Math & Stat, Victoria, BC, Canada
China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, TaiwanUniv Victoria, Dept Math & Stat, Victoria, BC, Canada
Srivastava, Hari
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机构:
EL-Ashwah, Rabha
Kota, Wafaa
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机构:
Damietta Univ, Fac Sci, Dept Math, New Damietta, EgyptUniv Victoria, Dept Math & Stat, Victoria, BC, Canada