报告题目：Absolutely monotonic functions related to the asymptotic formula for the complete elliptic integral of the first kind
报告人：赵铁洪教授（杭州师范大学）
时间：2024年6月18日14：00-15：00
地点：理学院1号楼1-301
摘要：Let 
be the complete elliptic integral of the first kind and
for 
and 
In this paper we find the necessary and sufficient conditions for the functions 
to be absolutely monotonic on（0,1）, which extend previous known results and yield several new functional inequalities involving the complete elliptic integral of the first kind. More importantly, we provide a new method to deal with those absolute monotonicity problems by proving the monotonicity of a sequence generated by the coefficients of the power series of 
.
报告人简介：赵铁洪，杭州师范大学 教授，硕士生导师，湖州师范学院数学与应用数学专业06届毕业生，湖南大学硕士，法国巴黎第六大学数学博士，爱思唯尔2022年、2023年中国高被引学者，先后主持国家自然科学基金2项和浙江省自然科学基金1项。以第一作者或通讯作者身份在Trans. Amer. Math. Soc., Math. Proc. Cambridge. Philo. Soc., Pacific J. Math., Acta Math. Sci.等国内外期刊杂志上发表论文60余篇。
