In his last letter to Hardy, Ramanujan defined 17 functions F(q), where |q| < 1.
He called them mock theta functions, because as q radially approaches any point
e 2πir (r rational), there is a theta function F r(q) with F(q) − F r(q) = O(1).
In this paper we obtain the transformations of Ramanujan's fifth and seventh
order mock theta functions under the modular group generators τ → τ + 1 and τ →
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