关于四边形的外模与特殊函数
On exterior moduli of quadrilaterals and special functions
摘要：
本文证明了涉及由第一类和第二类完全椭圆积分定义的函数的两个恒等式。利用该函数的单调性和凸性，得到了该函数的一些函数不等式和初等估计。作为应用，研究了一些函数不等式和矩形外模的增长性。
英文摘要：
In this paper two identities involving a function defined by the complete elliptic integrals of the first and second kinds are proved. Some functional inequalities and elementary estimates for this function are also derived from the properties of monotonicity and convexity of this function. As applications, some functional inequalities and the growth of the exterior modulus of a rectangle are studied.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
