The authors discuss on certain sufficient conditions for starlikeness and strongly starlikeness of analytic functions in the unit disk. Their results generalise and refine known results of J.-L. Li
and S. Owa
[Indian J. Pure Math. 33, 313–318 (2002; Zbl 0998.30010
), Georgian Math. J. 5, 361–366 (1998; Zbl 0924.30008
)] and of C. Ramesha
et.al [Chin. J. Math. 23, 167–171 (1995; Zbl 0834.30010
)]. Further some other new results are obtained.