Univalent and Starlike Generalized Hypergeometric Functions

Owa, Shigeyoshi ; Srivastava, H. M.

Canadian journal of mathematics, Tome 39 (1987) no. 5, pp. 1057-1077

Résumé

A single-valued function f(z) is said to be univalent in a domain if it never takes on the same value twice, that is, if f(z 1) = f(z 2) for implies that z 1 = z 2. A set is said to be starlike with respect to the line segment joining w 0 to every other point lies entirely in . If a function f(z) maps onto a domain that is starlike with respect to w 0, then f(z) is said to be starlike with respect to w 0. In particular, if w 0 is the origin, then we say that f(z) is a starlike function. Further, a set is said to be convex if the line segment joining any two points of lies entirely in . If a function f(z) maps onto a convex domain, then we say that f(z) is a convex function in .

Détail

DOI : 10.4153/CJM-1987-054-3

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