Bessel–Maitland function

In mathematics, the Bessel–Maitland function, or Wright generalized Bessel function, is a generalization of the Bessel function, introduced by Template:Harvs. 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

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

References

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