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Journal of the Ramanujan Mathematical Society

Volume 37, Issue 3, September 2022  pp. 221–229.

On some mock theta functions of order 2 and 3

Authors:  H. Kaur and M. Rana
Author institution:School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147 004, Punjab, India

Summary:  In this paper, we obtain new combinatorial interpretations for the coefficients of Watson's third order mock theta function ω(q), Ramanujan's second and third order mock theta function μ(q) and f (q), respectively, as well as McIntosh's second order mock theta functions A(q), B(q). We further introduce the combinatorial interpretation of their generalized version.

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