New theta function identities for a continued fraction of Ramanujan and their applications
Sign Up to like & getrecommendations! Published in 2020 at "Afrika Matematika"
DOI: 10.1007/s13370-020-00823-z
Abstract: We prove three new theta function identities for the continued fraction H ( q ) defined by $$\begin{aligned} H(q):=q^{1/8}-\frac{q^{7/8}}{1-q}_{+}\frac{q^2}{1+q^2}_{-}\frac{q^3}{1-q^3}_{+}\frac{q^4}{1+q^4}_{- \cdots }, \vert q\vert read more here.
Keywords: function identities; theta function; continued fraction; new theta ... See more keywords