An Application of the Constant Term Method to Ramanujan's Mock Theta Functions

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New Zealand Journal of Mathematics

Vol. 42, (2012), Pages 71-82


Bhaskar Srivastava

Department of Mathematics and Astronomy,

Lucknow University,

Lucknow,

India.

mailto:bhaskarsrivastav@yahoo.com






Abstract In this paper we give simple proof of some well known identities using the constant term method. We also show that Ramanujan's sixth order and Gordon and McIntosh's eighth order mock theta functions can be expressed as constant terms in the Laurent series expansion of rational functions of theta functions.

Keywords Mock theta functions, q-series.

Classification (MSC2000) 33D99.

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