Expansions of hypergeometric functions in hypergeometric functions

In [1] Luke gave an expansion of the confluent hypergeometric function in terms of the modified Bessel functions ${I_v}(z)$. The existence of other, similar expansions implied that more general expansions might exist. Such was the case. Here multiplication type expansions of low-order hypergeometric functions in terms of other hypergeometric functions are generalized by Laplace transform techniques.