Dergiler / Hacettepe Journal of Mathematics and Statistics / 2006 / Cilt: 35 - Sayı: 1

ON ALPHA-QUASI-UNIFORMLY CONVEX p-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES

Sayfa
1–6
Yayın Tarihi
2006-01-01
DOI
—
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In the present paper we will establish some properties of the class of α - Quasi - Uniformly convex, p-valent functions of type β in the open unit disk, which we denote by QUCVp,λ β,α, for λ > −1; 0 ≤ β < p, α ≥ 0 and p ∈ N, by making use of the Ruscheweyh Derivatives.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present paper we will establish some properties of the class of α - Quasi - Uniformly convex, p-valent functions of type β in the open unit disk, which we denote by QUCVp,λ β,α, for λ > −1; 0 ≤ β < p, α ≥ 0 and p ∈ N, by making use of the Ruscheweyh Derivatives.
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Temel Bulgular & Veri:In the present paper we will establish some properties of the class of α - Quasi - Uniformly convex, p-valent functions of type β in the open unit disk, which we denote by QUCVp,λ β,α, for λ > −1; 0 ≤ β < p, α ≥ 0 and p ∈ N, by making use of the Ruscheweyh Derivatives.
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Sonuç & Katkı:In the present paper we will establish some properties of the class of α - Quasi - Uniformly convex, p-valent functions of type β in the open unit disk, which we denote by QUCVp,λ β,α, for λ > −1; 0 ≤ β < p, α ≥ 0 and p ∈ N, by making use of the Ruscheweyh Derivatives.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Ruscheweyh Derivative · Quasi-convex · Uniformly convex

Abstract

In the present paper we will establish some properties of the class of α - Quasi - Uniformly convex, p-valent functions of type β in the open unit disk, which we denote by QUCVp,λ β,α, for λ > −1; 0 ≤ β < p, α ≥ 0 and p ∈ N, by making use of the Ruscheweyh Derivatives.

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Bu Makaleye Atıf Yap

TEHRANCHİ, A., KULKARNİ, S. R. (2006). ON ALPHA-QUASI-UNIFORMLY CONVEX p-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES. Hacettepe Journal of Mathematics and Statistics, Cilt: 35 - Sayı: 1, 1–6. https://ajindex.com/articles/669767

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Kaynakça (8)

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  2. Khalida, I. On Quasi-convex functions, Car. J. Math. 3, 1–8, 1984.
  3. Libera, R. J. Some classes of regular functions, Proc. Amer. Math. Soc. 16, 755–758, 1965.
  4. Livingston, A. E. On the radius of univalence of certain analytic functions, Proc. Amer. Math. Soc. 16, 352–357, 1965.
  5. Padmanabhan, K. S. On certain sub-classes of Bezilevic functions, Indian J. Math. 9 (3), 1–16, 1997.
  6. Rajagopal, R. and Selvaraj, C. On a class of uniformly quasi-convex functions, Bull. Cal. Math. Soc. 95 (1), 2003.
  7. Rİnning, F. On starlike functions associated with parabolic regions, Ann. Univ. Marie Curie, Sklo, Sect. A 45, 117–122, 1991.
  8. Selvaraj, C. On Alpha - Quasi - Uniformly convex functions, J. of Indian Acad. Math. 25(1), 169–185, 2003.