On certain p-valently analytic functions involving hadamard products
DOI:
https://doi.org/10.11113/mjfas.v1n1.11Keywords:
Convex, Starlike, p-valently analytic functions, Hadamard product,Abstract
In this paper, we introduce and study some properties of unified class WTλ(Φ,Ψ;η,β,p) involving the Hadamard Products given by Juneja et. al in 1985. The properties include coefficient bounds, growth and distortion, and closure theorem. Further, the radii of starlikeness and convexity is also given. AMS Subj. Classification: 30C45.References
W. Goodman, Ann. Polon. Math., 56 (1991) 87-92.
W. Goodman, J. Math. Anal. & Appl., 155 (1991), 364-370
W. Ma and D. Minda, Ann. Polon. Math., 57 (1992) 165-175.
F. Rønning, Proc. Amer. Math. Soc., 118 (1993) 189-196.
F. Rønning, Ann. Polon. Math., 60 (1995), 289-297.
H. Silverman, Proc. Amer. Math. Soc., 51 (1975) 109-116.
S. Ruschweyh, Comm. Math. Helv., 52 (1977) 497-509.
Juneja, T. R. Reddy and M. L. Mogra, Soochow J. Math., 11 (1985), 69-81.
S. Kanas and A. Wisniowska, Rev. Roumanie Math. Pures Appl. 45 (2000) 647-657.
M. Darus, accepted in JIPAM.
M. K. Aouf, M. Hossen and H. M. Srivastava, Appl. Math. Comp., 39 (2000) 39-48.