On two Saigo’s fractional integral operators in the class of univalent functions. (English) Zbl 1138.30007

Kiryakova, Virginia

Fract. Calc. Appl. Anal. 9, No. 2, 159-176 (2006).

Sufficient conditions on the parameters of the Saigo’s fractional integral operators for preservation of univalence of the familiar classes of univalent and convex functions were obtained.

Reviewer: V. Ravichandran (Delhi)

MSC:

30C45	Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
26A33	Fractional derivatives and integrals

Keywords:

generalized fractional integral; starlike functions; convex functions