Sandwich-Type Theorems for a Family of Non-Bazilevič Functions Involving a q-Analog Integral Operator

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-Bazilevič functions, denoted as Tq,τ+1,uμ(ϑ,λ,M,N). Furthermore, we investigate the differential subordination properties of un...

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Bibliographic Details
Published in:Mathematics (Basel) 2023-05, Vol.11 (11), p.2479
Main Authors: Hadi, Sarem H., Darus, Maslina, Ghanim, Firas, Alb Lupaş, Alina
Format: Article
Language:English
Subjects:
best dominant
best subordinate
Calculus
Differential calculus
Geometry
Mathematical analysis
Mathematical functions
Mathematics
non-Bazilevič function
Operators (mathematics)
q-calculus
Quantum field theory
sandwich-type theorems
univalent functions
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Summary: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-Bazilevič functions, denoted as Tq,τ+1,uμ(ϑ,λ,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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11112479