REPRESENTATIONS OF RAMANUJAN CONTINUED FRACTION IN TERMS OF COMBINATORIAL PARTITION IDENTITIES

- Journal title : Honam Mathematical Journal
- Volume 38, Issue 2, 2016, pp.367-373
- Publisher : The Honam Mathematical Society
- DOI : 10.5831/HMJ.2016.38.2.367

Title & Authors

REPRESENTATIONS OF RAMANUJAN CONTINUED FRACTION IN TERMS OF COMBINATORIAL PARTITION IDENTITIES

Chaudhary, Mahendra Pal; Choi, Junesang;

Chaudhary, Mahendra Pal; Choi, Junesang;

Abstract

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].

Keywords

Jacobi`s triple product identity;q-product identities;Ramanujan continued fraction;Combinatorial partition identities;

Language

English

References

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2.

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G. E. Andrews, K. Bringman and K. Mahlburg, Double series representations for Schur's partition function and related identities, J. Combin. Theory Ser. A 132 (2015), 102-119.

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B. C. Berndt, Number Theory in the Sprit of Ramanujan, Amer. Math. Soc., Providence, Rhode Island, 2006.

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M. P. Chaudhary and J. Choi, Note on modular relations for Roger-Ramanujan type identities and representations for Jacobi identities, East Asian Math. J. 31(5) (2015), 659-665.

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8.

H. M. Srivastava and J. Choi, Zeta and q-Zeta Functions and Associated Series and Integrals, Elsevier Science Publishers, Amsterdam, London and New York, 2012.