# `ramanujan_qft.mellin`

Product integrals $\int_0^\infty x^{s-1}f(x)\,g(x)\,dx$ by Mellin residue
summation, and the atlas of factors. User guide: {doc}`/user_guide/mellin`.

```{eval-rst}
.. currentmodule:: ramanujan_qft.mellin

.. autofunction:: product_integral

Atlas
-----

.. autofunction:: exponential

.. autofunction:: gaussian

.. autofunction:: bessel_j

.. autofunction:: cosine

.. autofunction:: sine

.. autofunction:: inverse_power

.. autofunction:: gaussian_bessel

Classes
-------

.. autoclass:: MellinFunction
   :no-members:

.. autoexception:: SeriesConvergenceError
   :no-members:
```