Confluent hypergeometric function

In mathematics, the confluent hypergeometric function is formed from hypergeometric series. It occurs in two forms, as Kummer's function and as Whittaker's function. Note also that there is a different Kummer's function bearing the same name but unrelated to this.

Kummer' function is given as

$M(a,b,z)=$

(artcile under construction please be patient)