An infinite family of engel expansions of Rogers-Ramanujan type

Advances in Applied Mathematics

Volumn 25, Issue 1, 2000, Pages 2-11

  Andrews, George E ^a   Knopfmacher, Arnold ^b   Paule, Peter ^c  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF THE WITWATERSRAND   (South Africa)

^c JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034216096     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1006/aama.2000.0686     Document Type: Article

References (10)

1. Andrews G. E. A polynomial identity which implies the Rogers-Ramanujan identities. Scripta Math. 28:1970;297-305.
2. Andrews G. E. Rota G.-C., The Theory of Partitions. Encyclopedia Math. Appl. 2:1976;Addison-Wesley, Reading.
3. Andrews G. E., Knopfmacher A., Knopfmacher J. Engel expansions and the Rogers-Ramanujan identities. J. Number Theory. 80:2000;273-280.
4. G. E. Andrews, and, A. Knopfmacher, An algorithmic approach to discovering and proving q-series identities, Algorithmica, to appear.
5. Garrett T., Ismail M., Stanton D. Variants of the Rogers-Ramanujan identities. Adv. Appl. Math. 23:1999;274-299.
6. Graham R. L., Knuth D. E., Patashnik O. Concrete Mathematics. 1994;Addison-Wesley, Reading.
7. Knopfmacher A., Knopfmacher J. Inverse polynomials expansions of Laurent series. Constr. Approx. 4:1988;379-389.
8. Paule P. Short and easy computer proofs of the Rogers-Ramanujan identities and of identities of similar type. Electron. J. Combin. 1:1994;1-9.
9. Perron O. Irrationalzahlen. 1951;Chelsea, New York.
10. Schur I. Ein Beitrag zur additiven Zahlentheorie und zur Theorie der Kettenbrüche. Schur I., Gesammelte Abhandlungen. 1973;43-50 Springer, Berlin.