Generalizations ofp-valent functions via the hadamard product

[摘要] The classes of univalent prestarlike functionsRα,α≥−1, of Ruscheweyh [1] and a certain generalization ofRαwere studied recently by Al-Amiri [2]. The author studies, among other things, the classes ofp-valent functionsR(α+p−1)wherepis a positive integer andαis any integer withα+p>0. The author shows in particular thatR(α+p)⊂R(α+p−1)and also obtains the radius ofR(α+p)for the classR(α+p−1).

[学科分类] 数学（综合）