Dergiler / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 5

Some applications of fractional calculus for analytic function

Sayfa
2025–2034
Yayın Tarihi
2022-11-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The object of this paper is to discuss some properties of f (z) concerning D λ z f (z).

📌 3 Maddede Bu Makale

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Amaç & Hipotez:For analytic functions f (z) in the class An, fractional calculus (fractional integrals and fractional derivatives) D λ z f (z) of order λ are introduced.
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Temel Bulgular & Veri:Applying D λ z f (z) for f (z) ∈ An, we introduce the interesting subclass An (αm, β, ρ, λ) of An.
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Sonuç & Katkı:The object of this paper is to discuss some properties of f (z) concerning D λ z f (z).
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

For analytic functions f (z) in the class An, fractional calculus (fractional integrals and fractional derivatives) D λ z f (z) of order λ are introduced. Applying D λ z f (z) for f (z) ∈ An, we introduce the interesting subclass An (αm, β, ρ, λ) of An. The object of this paper is to discuss some properties of f (z) concerning D λ z f (z).

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Bu Makaleye Atıf Yap

OWA, S., UYANIK, N. (2022). Some applications of fractional calculus for analytic function. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 5, 2025–2034. https://ajindex.com/articles/607367

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Kaynakça (6)

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  3. Miller SS, Mocanu PT. Differential Subordinations: Theory and Applications. New York, NY, USA: Marcel Dekker Incorporated, 2000
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  5. Owa S. On applications of the fractional calculus. Mathematica Japonica 1980; 25: 195-206
  6. Owa S, Srivastava HM. Univalent and starlike generalized hypergeometric functions. Canadian Journal of Mathematics 1987; 39: 1067-1077.