Generalizations of p -valent functions via the hadamard product

Anil K. Soni

International Journal of Mathematics and Mathematical Sciences, 1982, vol. 5, 1-11

Abstract:

The classes of univalent prestarlike functions R α , α ≥ − 1 , of Ruscheweyh [1] and a certain generalization of R α were studied recently by Al-Amiri [2]. The author studies, among other things, the classes of p -valent functions R ( α + p − 1 ) where p is a positive integer and α is any integer with α + p > 0 . The author shows in particular that R ( α + p ) ⊂ R ( α + p − 1 ) and also obtains the radius of R ( α + p ) for the class R ( α + p − 1 ) .

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:860251

DOI: 10.1155/S016117128200026X

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