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标题：Double Integral Operators Concerning Starlike of Order <svg style="vertical-align:-3.294pt;width:12.6375px;" id="M1" height="19.200001" version="1.1" viewBox="0 0 12.6375 19.200001" width="12.6375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.2)"> <g transform="translate(72,-56.64)"> <text transform="matrix(1,0,0,-1,-71.95,59.97)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝛽</tspan> </text> </g> </g> </svg>
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作者：Kazuo Kuroki ; Shigeyoshi Owa
期刊名称：International Journal of Differential Equations
印刷版ISSN：1687-9643
电子版ISSN：1687-9651
出版年度：2009
卷号：2009
DOI：10.1155/2009/737129
出版社：Hindawi Publishing Corporation
摘要：Double integral operators which were considered by S. S. Miller and P. T. Mocanu (Integral Transform. Spec. Funct. 19(2008), 591–597) are discussed. In order to show the analytic function 𝑓(𝑧) is starlike of order 𝛽 in the open unit disk 𝕌, the theory of differential subordinations for analytic functions is applied. The object of the present paper is to discuss some interesting conditions for 𝑓(𝑧) to be starlike of order 𝛽 in 𝕌 concerned with second-order differential inequalities and double integral operators.