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A graphic illustration of Rogers-Ramanujan Identities

โœ Scribed by K.K. Nambiar


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
188 KB
Volume
9
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Variants of the Rogersโ€“Ramanujan Identit
โœ Kristina Garrett; Mourad E.H. Ismail; Dennis Stanton ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

We evaluate several integrals involving generating functions of continuous q-Hermite polynomials in two different ways. The resulting identities give new proofs and generalizations of the RogersแސRamanujan identities. Two quintic transformations are given, one of which immediately proves the RogersแސR

A Note on the Rogers-Ramanujan identitie
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By LEONARD CARLITZ in Durham (N. C.) (Eingegangen am 5.3. 1957) 1. The ROGERS-RAMANUJAK identities (for proof and references see HARDY [2, Chapter 61) respectively. As HARDY remarks, the proofs of the identities are rather artificial. The object of the present note is to present a variant of ROGERS

Partial-Sum Analogues of the Rogersโ€“Rama
โœ S. Ole Warnaar ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 186 KB

## dedicated to barry mccoy on the occasion of his 60th birthday A new polynomial analogue of the Rogers-Ramanujan identities is proven. Here the product-side of the Rogers-Ramanujan identities is replaced by a partial theta sum and the sum-side by a weighted sum over Schur polynomials. # 2002 Els