  Explicit expressions for the Hahn multiple polynomials of type I, in terms of
Kamp\'e de F\'eriet hypergeometric series, are given. Orthogonal and
biorthogonal relations are proven. Then, part of the Askey scheme for multiple
orthogonal polynomials type I is completed. In particular, explicit expressions
in terms of generalized hypergeometric series and Kamp\'e de F\'eriet
hypergeometric series, are given for the multiple orthogonal polynomials of
type I for the Jacobi-Pi\~neiro, Meixner I, Meixner II, Kravchuk, Laguerre I,
Laguerre II and Charlier families.
