Key words
- q-continued fractions
- Rogers-Ramanujan continued fractions
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References
G.E. Andrews, An Introduction to Ramanujan's “lost” notebook, Amer. Math. Monthly, 86 (1979), 89–108.
G.E. Andrews, Ramanujan's “lost” notebook III-The Rogers-Ramanujan continued fraction, Advances Math. 41 (1981), 186–208.
S. Bhargava and Chandrashekar Adiga, On some continued fraction identities of Srinivasa Ramanujan, Proc. Amer. Math. Soc. (to appear).
E. Heine, Untersuchungen über die Reihe \(1 + \frac{{(1 - {q^\alpha })(1 - {q^\beta })}}{{(1 - q)(1 - {q^\alpha })}}x + \frac{{(1 - {q^\alpha })(1 - {q^{\alpha + 1}})(1 - {q^\beta })(1 - {q^{\beta + 1}})}}{{(1 - q)(1 - {q^2})(1 - {q^\alpha })(1 - {q^{\alpha + 1}})}}{x^2} + \ldots\) J. Reine. Angew Math. 34 (1847), 285–328.
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Dedicated to Paul Erdös on his seventieth birthday
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© 1985 Springer-Verlag
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Bhargava, S., Adiga, C. (1985). Two generalizations of Ramanujan's continued fraction identities. In: Alladi, K. (eds) Number Theory. Lecture Notes in Mathematics, vol 1122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075750
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DOI: https://doi.org/10.1007/BFb0075750
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