The order of convexity for an integral operator. (English) Zbl 1346.30009

Oprea, Adriana

Transylv. J. Math. Mech. 7, No. 1, 53-57 (2015).

Summary: For analytic functions \(f_i\), \(g_i\) for \(i=1,2,\ldots,n\), \(n\in \mathbb N^\ast\) in the open unit disk \(\mathcal U\), we study some convexity properties for a new general integral operator.

MSC:

30C45

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)

Keywords:

star-like functions