Copy For Citation
UYANIK N., Owa S.
TURKISH JOURNAL OF MATHEMATICS, vol.45, no.5, pp.2025-2034, 2021 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
45
Issue:
5
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Publication Date:
2021
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Doi Number:
10.3906/mat-2103-23
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Journal Name:
TURKISH JOURNAL OF MATHEMATICS
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
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Page Numbers:
pp.2025-2034
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Keywords:
Analytic function, fractional integral, fractional derivative, Miller and Mocanu lemma
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Anadolu University Affiliated:
Yes
Abstract
For analytic functions f (z) in the class A(n), fractional calculus (fractional integrals and fractional derivatives) D-z(lambda) f (z) of order lambda are introduced. Applying D-z(lambda) f (z) for f (z) is an element of A(n), we introduce the interesting subclass A(n) (alpha(m), beta, rho, lambda) of A(n). The object of this paper is to discuss some properties of f (z) concerning D-z(lambda) f (z).