逆不完全伽马函数的简单近似 [英] Simple approximation of Inverse Incomplete gamma function

问题描述

如何通过一些简单的分析来近似逆不完整的伽马函数Г(s，x)函数f(s，Г)? 这意味着编写类似x = f(s，Г)= 12 * log(123.45 *Г)+Г+ 123.4 ^ s的东西.

How could one approximate Inverse Incomplete gamma function Г(s,x) by some simple analytical function f(s,Г)? That means write something like x = f(s,Г) = 12*log(123.45*Г) + Г + 123.4^s .

(我至少需要想法或参考.)

(I need at least ideas or references.)

推荐答案

我发现给定s的x = f(s，Г)可以很好地近似为x = p0 *(1-Г)^ p1 * ln(Г* p2).至少它对我有用，在0.001< 0.001范围内s< = 15. Г< 0.999.

I've found out that x = f(s,Г) with given s can be nicely approximated by x = p0*(1-Г)^p1*ln(Г*p2). At least it worked for me with s <= 15 in region 0.001 < Г < 0.999.

这里p0，p1，p2-是常数，在选择s后通过近似f(s，Г)来选择.

Here p0,p1,p2 - is constants, which are chosen by approximation of f(s,Г) after you have chosen s.

这篇关于逆不完全伽马函数的简单近似的文章就介绍到这了，希望我们推荐的答案对大家有所帮助，也希望大家多多支持IT屋！