吉林大学学报（理学版）2017，Vol.55Issue(3)：513-518,6.DOI:10.13413/j.cnki.jdxblxb.2017.03.09
一个最佳常数因子联系Gamma函数的全平面Hilbert型积分不等式
A Hilbert-Type Integral Inequality in Whole Plane Related to Gamma Function of Best Constant Factor
摘要
Abstract
By introducing independent parameters and intermediate variables of exponential function, and using the method of the weight functions,we established a Hilbert-type integral inequality in the whole plane related to the Gamma function of the best constant factor,and considered the equivalent forms,homogeneous and non-homogeneous forms under particular parameters.关键词
权函数/全平面Hilbert型积分不等式/Gamma函数/等价式/最佳常数因子Key words
weight function/Hilbert-type integral inequality in whole plane/Gamma function/equivalent form/best constant factor分类
数理科学引用本文复制引用
顾朝晖,杨必成..一个最佳常数因子联系Gamma函数的全平面Hilbert型积分不等式[J].吉林大学学报（理学版）,2017,55(3):513-518,6.基金项目
国家自然科学基金(批准号:61370186)和广东第二师范学院教授博士科研专项基金(批准号:2015ARF25). （批准号:61370186）
