samspecialfuncs 0.0.15

Special functions that Sam needs

samspecialfuncs

An assortment of functions that are useful in my research, which are usually defined via chebyshev polynomials.

Here is a list of the defined functions...

in the bristol integrals folder samspecialfunc.bristol.integrals

.. math::

\gamma_{12} = \int_{0.5}^x I_1(u)/u^{12} du \gamma_{6} = \int_{0.5}^x I_1(u)/u^{6} du \kappa_{12} = \int_{0.5}^x K_1(u)/u^{12} du \kappa_{6} = \int_{0.5}^x K_1(u)/u^{6} du

where :math:I_1 and :math:K_1 are first order modified bessel functions of the first and second kinds, respectively.