Bateman function
Encyclopedia
In mathematics, the Bateman function (or k-function) kn is a special case of the confluent hypergeometric function
Confluent hypergeometric function
In mathematics, a confluent hypergeometric function is a solution of a confluent hypergeometric equation, which is a degenerate form of a hypergeometric differential equation where two of the three regular singularities merge into an irregular singularity...

studied by . Bateman defined it by
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