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Mock Theta Double Sums by Lovejoy, Jeremy; Osburn, Robert is a scholarly article available to read on EtoBox.

What is Mock Theta Double Sums about?

We prove a general result on Bailey pairs and show that two Bailey pairs of Bringmann and Kane are special cases. We also show how to use a change of base formula to pass from the pairs of Bringmann and Kane to pairs used by Andrews in his study of Ramanujan's seventh order mock theta functions. We derive several more Bailey pairs of a similar type and use these to construct a number of new q-hypergeometric double sums which are mock theta functions. Finally, we prove identities between some of these mock theta double sums and classical mock theta functions.

Author

Lovejoy, Jeremy; Osburn, Robert

Published

2015

Language

EN