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Showing 1 to 3 of 3 for “"Ramanujan's notebooks"”.
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Product Identities for Theta Functions
… in [34], and identities involving septic Rogers-Ramanujan functions obtained by H. Hahn in [29], are shown to be special cases of this general formula. We also obtain a generalization of the septuple product identity. Several entries in Ramanujan's notebooks as well as new identities are proved …
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Hypergeometric functions, continued fractions for products of gamma functions, and q-analogues
Some of the most interesting of Ramanujan's continued fraction identities are those involving ratios of Gamma functions in Chapter 12 of his second notebook. This thesis develops a method for deriving such identities, using hypergeometric functions as the main tool. We begin by deriving a continued …
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Modular identities for the Rogers-Ramanujan functions and analogues
Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Ingram (wingram2@illinois.edu) on 2011-01-21T22:47:37Z Item is restricted until 2013-01-21T22:47:37Z