The Bailey Chain and Mock Theta Functions

نویسندگان

  • JEREMY LOVEJOY
  • ROBERT OSBURN
چکیده

Standard applications of the Bailey chain preserve mixed mock modularity but not mock modularity. After illustrating this with some examples, we show how to use a change of base in Bailey pairs due to Bressoud, Ismail and Stanton to explicitly construct families of q-hypergeometric multisums which are mock theta functions. We also prove identities involving some of these multisums and certain classical mock theta functions.

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تاریخ انتشار 2012