Generalization for character formulas in terms of continued fraction identities
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DOI:
https://doi.org/10.26637/mjm201/004Abstract
In recent work, Folsom discussed character formulas for classical mock theta functions of Ramanujan. Here, we suggest representations for character formulas in terms of continued fraction identities or in more precise language, we can say an applications of continued fraction identities to character formulas. As a consequence, we obtain fourteen new results.
Keywords:
Character formulas, continued fractions identities, \(q\)-product identitiesMathematics Subject Classification:
11F27, 11F37, 11F50, 17B67, 33D15- Pages: 24-34
- Date Published: 01-01-2014
- Vol. 2 No. 01 (2014): Malaya Journal of Matematik (MJM)
M.P. Chaudhary, On q-product identities, communicated for publication.
Amanda Folsom, Kac-Wakimoto characters and universal mock theta functions, Trans. Amer. Math. Soc., 363(1)(2011) 439-455. DOI: https://doi.org/10.1090/S0002-9947-2010-05181-5
G.E. Andrews, An introduction to Ramanujan’s Lost notebook, Amer. Math. Monthly, 86(2)(1979) 89-108. DOI: https://doi.org/10.1080/00029890.1979.11994743
G.E. Andrews, Ramanujan’s Lost notebook III. The Rogers-Ramanujan continued fraction, Advances in Mathematics, 41(2)(1981) 186-208. DOI: https://doi.org/10.1016/0001-8708(81)90015-3
R.Y. Denis, On certain q-series and continued fractions, Math. Students, 44(1-4)(1983) 70-76.
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