A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities

A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities
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DOI:
10.1007/s10476-015-0201-7
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发表时间:
2015-11
影响因子:
0.7
通讯作者:
H. Alzer;Kendall C. Richards
H. Alzer;Kendall C. Richards
中科院分区:
数学3区
文献类型:
--
作者:
H. Alzer;Kendall C. Richards

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研究了函数的单调性和凸性,其中κ和ε分别表示第一类和第二类完全椭圆积分。此外,我们还给出了一些关于Δ的不等式。
We study monotonicity and convexity properties of the function, whereκandεdenote the complete elliptic integrals of the first and second kind, respectively. Moreover, we present some inequalities for Δ.