Bessel–Maitland function

In mathematics, the Bessel–Maitland function, or Wright generalized Bessel function, is a generalization of the Bessel function, introduced by. The word "Maitland" in the name of the function seems to be the result of confusing Edward Maitland Wright's middle and last names. It is given by


 * $$ J^{\mu,\nu}(z) = \sum_{k\ge 0} \frac{(-z)^k}{\Gamma(k\mu+\nu+1)k!}.$$