Tagged Questions
1
vote
0answers
28 views
Getting an inverse function
I have a cubic function $N_3(x) = a x^3 + b x^2 + c x + d$ which guaranteed is non-negative in each point on interval $x \in [0,1]$.
I building an other function $N_4(x) = \int_0^x{N_3(t)dt}$. Sure ...
4
votes
0answers
116 views
Inversion of elliptic integral
I have an equation of the type
$$
p=\int_0^b\sqrt{\left(a^2-x^2\right)\left(b^2-x^2\right)}dx,
$$
in which $a$ and $b$ (with $a>b>0$) are (known) functions of some parameter $H$ (such that it is ...
0
votes
0answers
126 views
Can one find the inverse function for a combination of imcomplete gamma functions?
The original function was defined as $f(z)=y=\left( \Gamma \left( k,{\frac {z-b}{\theta}} \right) -\Gamma \left( k,{\frac {z-a}{\theta}} \right) \right) \left( \Gamma \left( k \right) \right) ...
5
votes
1answer
217 views
Inverse function of $\operatorname{li}(x)$ over $x>\mu$?
How can I get the inverse function of $\operatorname{li}(x)$ over $x>\mu$?
Where $$\operatorname{li}(x)=\int_{0}^{x}\frac{ds}{\ln(s)}$$ is the so-called logarithmic integral, and ...
