Chapter 16 of Ramanujan's Second Notebook: Theta-Functions and $q$-Series: Theta Functions and Q-series, Part 16
Chandrashekar Adiga
Jan 1985 · American Mathematical Society: Memoirs of the American Mathematical Society Book 315 · American Mathematical Soc.
Ebook
85
Pages
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About this ebook
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.
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