Majorizations for subclasses of analytic functions connected with the Q-difference operator

The present study aims to investigate a majorization problem for a class of q -starlike functions and for the subclass S ∗ ( χ ) of starlike functions as well as to rectify certain previous results. For this goal, the valid form connected with Nehari’s inequality for q -difference operators was pres...

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2024-11, Vol.73 (7), p.2877-2894
Main Authors: Analouei Adegani, Ebrahim, Hameed Mohammed, Nafya, Bulboacă, Teodor
Format: Article
Language:English
Subjects:
Algebra
Analysis
Analytic functions
Applications of Mathematics
Finite differences
Geometry
Mathematics
Mathematics and Statistics
Operators (mathematics)
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Summary:The present study aims to investigate a majorization problem for a class of q -starlike functions and for the subclass S ∗ ( χ ) of starlike functions as well as to rectify certain previous results. For this goal, the valid form connected with Nehari’s inequality for q -difference operators was presented. Further, our findings contribute to the novelty of the results of this topic by revealing new insights. In addition, our results with previous works have connected, drawing inspiration from existing papers. Also, several new implications of the main result expressed as corollaries were provided and advances in the studied topic were made.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-024-01069-5