Certain subclasses of p- valent functions defined by multiplier transformations

In the present paper, making use of the operator D p δ ( λ , μ , l ) , two new subclasses S λ , μ , l δ ( A , B ; σ , p ) and S T λ , μ , l δ ( A , B ; σ , p ) of p - valent functions are investigated in the open unit disk. Some interesting relations and characteristics such as inclusion relationshi...

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Bibliographic Details
Published in:Afrika mathematica 2023, Vol.34 (1)
Main Authors: Deniz, Erhan, Özkan, Yücel, Kazımoğlu, Sercan, Senger, Öznur
Format: Article
Language:English
Subjects:
Applications of Mathematics
Fractional calculus
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Mathematics Education
Online Access:Get full text
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Summary:In the present paper, making use of the operator D p δ ( λ , μ , l ) , two new subclasses S λ , μ , l δ ( A , B ; σ , p ) and S T λ , μ , l δ ( A , B ; σ , p ) of p - valent functions are investigated in the open unit disk. Some interesting relations and characteristics such as inclusion relationships, neighborhoods, partial sums and some applications of fractional calculus of functions belonging to each of these subclasses S λ , μ , l δ ( A , B ; σ , p ) and S T λ , μ , l δ ( A , B ; σ , p ) are investigated. Relevant connections of the definitions and results presented in this paper with those obtained in several earlier works on the subject are also pointed out.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-023-01049-5