
doi: 10.2298/fil1908277n
We consider the class Ap of functions f analytic in the unit disk |z| < 1 in the complex plane, of the form f(z) = zp + ... such that Rezf(p)(z)/f (p-1)(z) > 0 in the unit disc. The object of the present paper is to derive some bounds for coefficients in this class and relation with the functions satisfying condition Ref(k)(z)/f(p-k)(z) > 0 in the unit disc.
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), univalent functions, close-to-convex, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, convex, starlike
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), univalent functions, close-to-convex, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, convex, starlike
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