| Briot-Bouquet方程与一类积分算子 |
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| 引用本文： | 高建福.Briot-Bouquet方程与一类积分算子[J].系统科学与数学,1994,14(1):039-044. |
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| 作者姓名： | 高建福 |
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| 作者单位： | 山西省忻州师专数学科 |
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| 基金项目： | 山西省自然科学基金,高等学校技术基金资助项目 |
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| 摘 要： | Ｂｒｉｏｔ－Ｂｏｕｑｕｅｔ方程与一类积分算子高建福（山西省忻州师专数学科，山西０３４０００）１９９０年１０月１６日收到，１９９１年９月１１日收到修改稿．一、引言设ｓ和ｔ是复数，在单位圆盘中正则，微分方程称为Ｂｒｌｏｔ－Ｂｏｕｑｕｅｔ方程．在的情况下，...
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ON THE BRIOT-BOUQUET EQUATION AND ACLASS OF INTEGRAL OPERATORS |
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| GAO JIAN-FU.ON THE BRIOT-BOUQUET EQUATION AND ACLASS OF INTEGRAL OPERATORS[J].Journal of Systems Science and Mathematical Sciences,1994,14(1):039-044. |
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| Authors: | GAO JIAN-FU |
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| Institution: | Department of Mathematics, Xin Zhou Teachers College, Shanxi 034000 |
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| Abstract: | Let s and t be complex numbers, and let h(z) = 1 + h1z +, be regular in aunit disc D. This article studies the Briot-Bouquet equationzq'(z) + q(z) - h(z)] sq(z) + t] = 0.Sufficient conditions are obtained for the regularity of its solutions in D. Applications of these results to integral operators defined oil a class of regular functions aregiven. |
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