Identities involving mock theta functions and theta functions
Copyright policy )Identities involving mock theta functions and theta functions
In this paper, we first present new representations for several mock theta functions. In view of the sign flips on these identities, some interesting results involving theta functions are established by new Bailey pairs and Watson’s 8 ϕ 7 _8\phi _7 transformation formula. Moreover, the truncated forms for the theta series identities are also considered.
- Shanghai Normal University China (People's Republic of)
Basic hypergeometric functions in one variable, \({}_r\phi_s\), Binomial coefficients; factorials; \(q\)-identities, \(q\)-calculus and related topics, Convergence and divergence of series and sequences, Theta functions and curves; Schottky problem, Bailey pairs, Theta series; Weil representation; theta correspondences, mock theta functions, theta functions, truncated series
Basic hypergeometric functions in one variable, \({}_r\phi_s\), Binomial coefficients; factorials; \(q\)-identities, \(q\)-calculus and related topics, Convergence and divergence of series and sequences, Theta functions and curves; Schottky problem, Bailey pairs, Theta series; Weil representation; theta correspondences, mock theta functions, theta functions, truncated series
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