A full extension of the rogers-ramanujan continued fraction

George E. Andrews; Douglas Bowman

doi:10.1090/S0002-9939-1995-1277090-8

A full extension of the rogers-ramanujan continued fraction

George E. Andrews
, Douglas Bowman

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In this paper, we present the natural extension of the Rogers- Ramanujan continued fraction to the nonterminating very well-poised basic hypergeometric function 8Ø7. In a letter to Hardy, Ramanujan indicated that he possessed a four variable generalization. Our generalization has seven variables and is, perhaps, all one can expect from this method.

Original language	English (US)
Pages (from-to)	3343-3350
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	123
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9939-1995-1277090-8
State	Published - Nov 1995

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1995-1277090-8

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abstract = "In this paper, we present the natural extension of the Rogers- Ramanujan continued fraction to the nonterminating very well-poised basic hypergeometric function 8{\O}7. In a letter to Hardy, Ramanujan indicated that he possessed a four variable generalization. Our generalization has seven variables and is, perhaps, all one can expect from this method.",

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AB - In this paper, we present the natural extension of the Rogers- Ramanujan continued fraction to the nonterminating very well-poised basic hypergeometric function 8Ø7. In a letter to Hardy, Ramanujan indicated that he possessed a four variable generalization. Our generalization has seven variables and is, perhaps, all one can expect from this method.

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M3 - Article

AN - SCOPUS:21844521435

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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A full extension of the rogers-ramanujan continued fraction

Abstract

All Science Journal Classification (ASJC) codes

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