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

On alpha-Quasi-Uniformly convex p-valent functions of type $beta$ in terms of Ruscheweyh derivatives

S. R. KULKARNI
A. TEHRANCHI
Sayfa
1–6
Yayın Tarihi
2022-10-18
DOI
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In the present paper we will establish some properties of the class of $alpha$ - Quasi - Uniformly convex, p-valent functions of type $beta$ in the open unit disk, which we denote by $QUCV^{p,lambda}_{beta,alpha}$, for $lambda>-1; 0 leqbeta< p, alphageq 0 $ and $pinBbb{N,}$ 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 $alpha$ - Quasi - Uniformly convex, p-valent functions of type $beta$ in the open unit disk, which we denote by $QUCV^{p,lambda}_{beta,alpha}$, for $lambda>-1; 0 leqbeta< p, alphageq 0 $ and $pinBbb{N,}$ 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 $alpha$ - Quasi - Uniformly convex, p-valent functions of type $beta$ in the open unit disk, which we denote by $QUCV^{p,lambda}_{beta,alpha}$, for $lambda>-1; 0 leqbeta< p, alphageq 0 $ and $pinBbb{N,}$ 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 $alpha$ - Quasi - Uniformly convex, p-valent functions of type $beta$ in the open unit disk, which we denote by $QUCV^{p,lambda}_{beta,alpha}$, for $lambda>-1; 0 leqbeta< p, alphageq 0 $ and $pinBbb{N,}$ by making use of the Ruscheweyh Derivatives.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In the present paper we will establish some properties of the class of $alpha$ - Quasi - Uniformly convex, p-valent functions of type $beta$ in the open unit disk, which we denote by $QUCV^{p,lambda}_{beta,alpha}$, for $lambda>-1; 0 leqbeta< p, alphageq 0 $ and $pinBbb{N,}$ by making use of the Ruscheweyh Derivatives.

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Bu Makaleye Atıf Yap

KULKARNI, S. R., TEHRANCHI, A. (2022). On alpha-Quasi-Uniformly convex p-valent functions of type $beta$ in terms of Ruscheweyh derivatives. Hacettepe Journal of Mathematics and Statistics, Cilt: 35 - Sayı: 1, 1–6. https://ajindex.com/articles/530775

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Kaynakça (1)

  1. Goodman,A. W. On uniformly convex functions, Annals Polonici Mathematici XVI (1), 8—22, 1991. [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] Ronning, 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.