功能:求反古德曼函数值(Inverse Gudermannian Function)

格式:InvGudermannian(z)、InvGudermannian2(z)

说明:求复数z的古德曼函数值,按定义InvGudermannian(z)={Asinh<算式解析\Asinh>}({Tan<算式解析\tan>}(z));InvGudermannian2(z)={Asinh2<算式解析\asinh>}({Tan<算式解析\tan>}(z)).注意本函数与古德曼{Gudermannian<算式解析\Gudermannian>}、{Gudermannian2<算式解析\Gudermannian>}函数的区别.

关于:{反古德曼函数<http://en.wikipedia.org/wiki/Gudermannian_function>}

例子:

a = 2 + 3.5i;
InvGudermannian(a)//回车
ans = -0.0549219300220774 + 1.54564560074633i

InvGudermannian2(a)//回车
ans = 0.0549219300220775 + 1.59594705284346i