Some Relationships between Infinite Product Identities Continued-Fraction Identities and Combinatorial Partition Identities

M.P.Chaudhary

Authors

M.P.Chaudhary

infinite product identities, jacobi’s triple-product identity, continued-fraction identities, combinatorial partition identity, q-product identities

Abstract

The author establish a set of four presumbaly new results which depict the inter-relationship between Infinite Product Identities, Continued-Fraction Identities and Combinatorial Partition Identities. Several closely related q- identities such as (for example) Jacobi's triple-product identity are also considered.

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How to Cite

Some Relationships between Infinite Product Identities Continued-Fraction Identities and Combinatorial Partition Identities. (2015). Global Journal of Science Frontier Research, 15(18), 87-94. https://journalofscience.org/index.php/GJSFR/article/view/

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References

M. Chaudhary (2014) Generalization for character formulas in terms of continued fraction identities. (1), 24-34.

George Andrews, Kathrin Bringman, Karl Mahlburg Double series Representations for Schur's partition function and related identities.

Shaun Cooper, Michael Hirschhorn (2001) On Some Finite Product Identities. 31(1), 131-139. https://doi.org/10.1216/rmjm/1008959672

John Richard Becksmith (1988) Some infinite product identities. 51(183), 301-314. https://doi.org/10.1090/s0025-5718-1988-0942157-2

M. Chaudhary (2013) On q-product identities. 123-129.

M. Chaudhary (2012) Applications of continued fraction identities. 12(4), 31-37.

M. (2015) Chaudhary and Sangeeta Chaudhary: On 3-dissection property, continued fraction identities and combinatorial partition identities.