Chapter 16 Of Ramanujan's Second Notebook: Theta Functions And Q-series Chapter Sixteen Of Ramanujan's Second Notebook

By C. Adiga ... [et Al.]. January 1985, Volume 53, Number 315 (second Of 5 Numbers). Bibliography: P. 81-85. The first part of Chapter 16 in Ramanujan's second notebook is devoted to q-series. Several of the results obtained by Ramanujan are classical, but many are new. In particular, certain elegant q-continued fraction expansions have not appeared heretofore in print. In the remainder of this chapter, Ramanujan develops the theory of the classical theta-functions in a manner different from his nineteenth century predecessors such as Jacobi. Although many of Ramanujan's discoveries about theta-functions are well-known, several new results are also to be found