On close-to-convex functions satisfying a differential inequality
Keywords:
Analytic function, convex function, starlike function, close-to-convex.Abstract
Let C α (β) denote the class of normalized functions f, analytic in the open unit disk E which satisfy the condition…
…We claim that our result improves the result of Chichra, P. N. [1].
Mathematics Subject Classification (2010): 30C80, 30C45.
References
Chichra, P.N., New subclasses of the class of close-to-convex functions, Proc. Amer. Math. Soc., 62(1)(1977), 37-43.
Miller, S.S., Differential inequalities and Caratheodory functions, Bull. Amer. Math. Soc., 81(1975), 79-81.
Noshiro, K., On the theory of schlicht functions, J. Fac. Sci., Hokkaido Univ., 2(1934-35), 129-155.
Warchawski, S.E., On the higher derivatives at the boundary in conformal mappings, Trans. Amer. Math. Soc., 38(1935), 310-340.
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