文章基本信息

标题：Generalized classes of starlike and convex functions of order <mml:math alttext="$\alpha$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>α</mml:mi></mml:math>
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作者：Shigeyoshi Owa ; C. Y. Shen
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1985
卷号：8
DOI：10.1155/S0161171285000503
出版社：Hindawi Publishing Corporation
摘要：We have introduced, in this paper, the generalized classes of starlike and convex functions of order α by using the fractional calculus. We then proved some subordination theorems, argument theorems, and various results of modified Hadamard product for functions belonging to these classes. We have also established some properties about the generalized Libera operator defined on these classes of functions.