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We discuss the N=2 SU(2) Yang-Mills theory coupled with a massive matter inthe weak coupling. In particular, we obtain the instanton expansion of itsprepotential. Instanton contributions in the mass-less limit are completelyreproduced. We study also the double scaling limit of this massive theory andfind that the prepotential with instanton corrections in the double scalinglimit coincides with that of N=2 SU(2) Yang-Mills theory without matter.Comment: 14 pages, latex, 2 figures; Revised version; The expression for the  prepotential is modifie

Prepotential of N=2 SU(2) Yang–Mills gauge theory coupled with a massive matter multiplet