Differential Subordination and Superordination Results for q-Analogue of Multiplier Transformation

The results obtained by the authors in the present paper refer to quantum calculus applications regarding the theories of differential subordination and superordination. These results are established by means of an operator defined as the q-analogue of the multiplier transformation. Interesting diff...

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Bibliographic Details
Published in:Fractal and fractional 2023-02, Vol.7 (2), p.199
Main Authors: Alb Lupaş, Alina Alb, Cătaş, Adriana
Format: Article
Language:English
Subjects:
Analytic functions
best dominant
Calculus
Convex analysis
convex function
Differential calculus
differential operator
differential subordination
differential superordination
Investigations
Mathematical analysis
Multipliers
Operators (mathematics)
q-analogue operator
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Summary:The results obtained by the authors in the present paper refer to quantum calculus applications regarding the theories of differential subordination and superordination. These results are established by means of an operator defined as the q-analogue of the multiplier transformation. Interesting differential subordination and superordination results are derived by the authors involving the functions belonging to a new class of normalized analytic functions in the open unit disc U, which is defined and investigated here by using this q-operator.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract7020199