TY - JOUR T1 - ON ALPHA-QUASI-UNIFORMLY CONVEX p-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES TT - ON ALPHA-QUASI-UNIFORMLY CONVEX p-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES AU - Tehranchi, A. AU - Kulkarni, S. R. PY - 2006 DA - January JF - Hacettepe Journal of Mathematics and Statistics PB - Hacettepe University WT - DergiPark SN - 2651-477X SP - 1 EP - 6 VL - 35 IS - 1 LA - en AB - 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. KW - Ruscheweyh Derivative KW - Quasi-convex KW - Uniformly convex KW - Close-to-uniformly convex and alpha-quasi- uniformly convex p-valent functions KW - 2000 AMS Classification: 30 C 45 CR - Goodman,A. W. On uniformly convex functions, Annals Polonici Mathematici XVI (1), 8– 22, 1991. CR - Khalida, I. On Quasi-convex functions, Car. J. Math. 3, 1–8, 1984. CR - Libera, R. J. Some classes of regular functions, Proc. Amer. Math. Soc. 16, 755–758, 1965. CR - Livingston, A. E. On the radius of univalence of certain analytic functions, Proc. Amer. Math. Soc. 16, 352–357, 1965. CR - Padmanabhan, K. S. On certain sub-classes of Bezilevic functions, Indian J. Math. 9 (3), 1–16, 1997. CR - Rajagopal, R. and Selvaraj, C. On a class of uniformly quasi-convex functions, Bull. Cal. Math. Soc. 95 (1), 2003. CR - Rİnning, F. On starlike functions associated with parabolic regions, Ann. Univ. Marie Curie, Sklo, Sect. A 45, 117–122, 1991. CR - Selvaraj, C. On Alpha - Quasi - Uniformly convex functions, J. of Indian Acad. Math. 25(1), 169–185, 2003. UR - https://dergipark.org.tr/en/pub/hujms/article/101622 L1 - https://dergipark.org.tr/en/download/article-file/86953 ER -