Fifth Order Mock Theta Functions: Elementary Identities

George E. Andrews and Bruce C. Berndt
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George E. Andrews: The Pennsylvania State University, Department of Mathematics
Bruce C. Berndt: University of Illinois, Department of Mathematics

Chapter 3 in Ramanujan's Lost Notebook, 2018, pp 17-33 from Springer

Abstract: Abstract In Chapter 14, we reproduce Ramanujan’s last letter to Ramanujan’s last letter Hardy. In it, Ramanujan’s ten fifth order mock theta functions are given in their original “three or four terms of the series” format. We repeat them here in standard notation. Because Ramanujan used the same notation for each of the two sets of five functions, to avoid ambiguity and to be consistent with the notation introduced by Watson [270], we have appended the subscript 0 to those members of the first family, and the subscript 1 to those members of the second family. First,

Date: 2018
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DOI: 10.1007/978-3-319-77834-1_3

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