Does any one know how to calculate the following integration?

$$ \int_{\mathbb{R}} \left(\exp(z \: e^{-y^2})-1\right)^2 dy=?,\quad z>0. $$

This post is related to my previous question here , based on which one can have a upper bound. Can any one give an exact solution for this integration?

Thanks a lot! Anand

Does any one know how to calculate the following integration?

$$ \int_{\mathbb{R}} \left(\exp(z \: e^{-y^2})-1\right)^2 dy=?,\quad z>0. $$

This post is related to my previous question here , based on which one can have a upper bound. Can any one give an exact solution for this integration?

Thanks a lot! Anand

Does any one know how to calculate the following integration?

$$ \int_R \left(\exp(z \: e^{-y^2})-1\right)^2 dy=?,\quad z>0. $$

This post is related to my previous question here , based on which one can have a upper bound. Can any one give an exact solution for this integration?

Thanks a lot! Anand

Does any one know how to calculate the following integration?

$$ \int_{\mathbb{R}} \left(\exp(z \: e^{-y^2})-1\right)^2 dy=?,\quad z>0. $$

This post is related to my previous question here , based on which one can have a upper bound. Can any one give an exact solution for this integration?

Thanks a lot! Anand