Abstract
B. Yuttanan has shown that certain identities of Ramanujan and of Horie and Kanou can be factorized, that is, obtained by multiplying together certain pairs of identities. We give alternative, simpler factorizations of the same identities, and more.
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Horie, T., Kanou, N.: Certain modular functions similar to the Dedekind eta function. Abh. Math. Semin. Univ. Hamb. 72, 89–117 (2002)
Ramanujan, S.: Notebooks, vol. 2. TIFR, Bombay (1957)
Yuttanan, B.: New properties for the Ramanujan–Göllnitz–Gordon continued fraction. Acta Arith. 151, 293–310 (2012)
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Dedicated to my good friends Mourad Ismail and Dennis Stanton
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Hirschhorn, M.D. Factorizations of certain q-series identities of Ramanujan and others. Ramanujan J 31, 15–22 (2013). https://doi.org/10.1007/s11139-012-9419-1
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DOI: https://doi.org/10.1007/s11139-012-9419-1