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Adiga and Anitha [1] investigated the Ramanujan's continued fraction (18) to present many interesting identities. Motivated by this work, by using known formulas, we also investigate the Ramanujan's continued fraction (18) to give certain relationships between the Ramanujan's continued fraction and the combinatorial partition identities given by Andrews et al. [3].
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참고문헌 (8)
참고문헌 신청
C. Adiga / 2004 / A note on a continued fraction of Ramanujan / Bull. Austral. Math. Soc 70:489~497
C. Adiga / 1985 / Theta functions and q-series(Chapter 16 of Ramanujan's second notebook) / Mem. Amer. Math. Soc 315:1~91
G. E. Andrews / 2015 / Double series representations for Schur's partition function and related identities / J. Combin. Theory Ser. A 132:102~119
B. C. Berndt / 1991 / Ramanujan's Notebooks, Part III / Springer-Verlag
B. C. Berndt / 2006 / Number Theory in the Sprit of Ramanujan / Amer. Math. Soc., Providence
C. Adiga / 1985 / Theta functions and q-series(Chapter 16 of Ramanujan's second notebook) / Mem. Amer. Math. Soc 315:1~91
G. E. Andrews / 2015 / Double series representations for Schur's partition function and related identities / J. Combin. Theory Ser. A 132:102~119
B. C. Berndt / 1991 / Ramanujan's Notebooks, Part III / Springer-Verlag
B. C. Berndt / 2006 / Number Theory in the Sprit of Ramanujan / Amer. Math. Soc., Providence
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