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Analytical generalisations of Rogers-Ramanujan identities. (English) Zbl 1052.33505
From the text: This survey contains eight sections: The early works of Rogers, Schur and Ramanujan; Watson’s transformation and Rogers-Ramanujan identities; The work of W. N. Bailey, L. J. Slater and others; Analytical generalizations of the Rogers-Ramanujan identities – the works of H. L. Adler, V. N. Singh, G. E. Andrews and others; A general ”bibasic” transformation; Two proofs of Rogers-Ramanujan identities with a difference. Certain multiple series Rogers-Ramanujan type identities; Certain miscellaneous studies.
MSC:
33E05Elliptic functions and integrals
11P83Partitions: congruences and congruential restrictions
11B65Binomial coefficients, etc.
05A19Combinatorial identities, bijective combinatorics