超越整函数 meaning in English

transcendental entire function
transcendental integral function

In chapter 2 , we study the regularity of solutions of some second order differential equations . in chapter 3 , we study the regularity of solutions of higher order non - homogeneous differential equations where coefficients are rational functions or super entire functions . in chapter 4 , we study the regularity of solutions of higher order homogeneous differential equations where coefficients are super meromorphic functions
其中第二章研究了某些二阶方程解的正规性；第三章在系数分别为有理函数和超越整函数的情况下研究了高阶非齐次方程解的正规性；第四章在系数为超越亚纯函数的情况下研究了高阶齐次方程解的正规性；第五章则是假设在方程系数为正规亚纯函数的条件下得到的解的增长性方面的结果。