Quasimodular forms arising from Jacobi's theta function and special symmetric polynomials

Tewodros Amdeberhan, Leonid G. Fel, Ken Ono

Ramanujan derived a sequence of even weight $2n$ quasimodular forms $U_{2n}(q)$ from derivatives of Jacobi's weight $3/2$ theta function. Using the generating function for this seq…