In this paper, we introduce and study some subclasses of p-valently analytic functions in the open unit disk U by applying the q-derivative operator and the fractional q-derivative operator in conjunction with the principle of subordination between analytic functions. For the Taylor-Maclaurin coefficients fa k g 1 kDpC1 of each of these subclasses of p-valently analytic functions, we derive sharp bounds for the Fekete-Szegő functional given by a pC2 a 2 pC1ˇ: Relevant connections of the results presented in this paper with those derived in earlier works are also considered.
a b s t r a c tThe objective of the present paper is to give some characterizations for a (Gaussian) hypergeometric function to be in various subclasses of starlike and convex functions of order α type β. We also consider an integral operator related to the hypergeometric function.
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