NAME: Richard McIntosh

TITLE:  An Infinite Family of Mock Theta Functions

ABSTRACT:
We construct a one parameter infinite family of mock theta functions with
a complete set of transformation formulas under the action of the modular
group.  This family includes most of Ramanujan's third order mock theta
functions and is connected to his fifth and seventh order mock theta
functions by formulas of Dean Hickerson.  The transformation formulas for
the third order functions were obtained by G.N. Watson.  We give explicit
transformation formulas for the fifth and seventh order functions.
 
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