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In a previous paper  one of us developed an expansion for the confluent hypergeometric function in series of Bessel functions. A different expansion of the same kind given by Buchholz  was also studied. Since publication of , it was found that Rice  has also developed an expansion of this type, and yet a fourth expansion of this kind can be deduced from some recent work by Alavi and Wells . In this note, we first deduce a multiplication formula for the Gaussian hypergeometricdoi:10.1090/s0025-5718-1961-0123745-3 fatcat:6mpqkxtd2nbnbbq3vqk643brd4