The well-poised thread: An organized chronicle of some amazing summations and their implications

Ramanujan Journal

Volumn 1, Issue 1, 1997, Pages 7-23

  Andrews, George E ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

Hypergeometric series; Well poised series

Indexed keywords

EID: 21744435831     PISSN: 13824090     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009746303654     Document Type: Article

References (14)

1. G.E. Andrews, "On the general Rogers-Ramanujan theorem," Memoirs of the Amer. Math. Soc. (152) (1974).
2. G.E. Andrews, "Applications of basic hypergeometric functions," S.I.A.M. Review 16 (1974), 441-484.
3. G.E. Andrews, "Problems and Prospects for Basic Hypergeometric Functions," from Theory and Applications of Special Functions (R. Askey, ed.), Academic Press, New York, 1976, pp. 191-224.
4. G.E. Andrews, "The Theory of Partitions," Encyclopedia of Math. and Its Applications, Addison-Wesley, Reading, Mass. vol. 2 (Reissued: Cambridge University Press, Cambridge, 1985).
5. G.E. Andrews, R.J. Baxter, and P.J. Forrester, "Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities," J. Stat. Phys. 35 (1984), 193-266.
6. G.E. Andrews, "Reciprocal polynomials and quadratic transformations," Utilitas Math. 28 (1985), 255-264.
7. G.E. Andrews, C. Bessenrodt, and J. Olsson, "Partition identities and labels for some modular characters," Trans. Amer. Math. Soc. 344 (1994), 597-615.
8. R. Askey, "Ramanujan's extension of the gamma and beta function," Amer. Math. (Monthly) 87 (1980), 346-359.
9. R. Askey, "Orthogonal Polynomials and Special Functions," Regional Conf. Series in Applied Math. 21, S.I.A.M., Philadelphia.
10. W.N. Bailey, Generalized Hypergeometric Series, Cambridge University Press, 1935 (Reissued: Hafner, New York, 1964).
11. W.N. Bailey, "Francis John Welsh Whipple," J. London Math. Soc. 18 (1943), 249-256.
12. W.N. Bailey, "Some identities in combinatory analysis," Proc. London Math. Soc. 49(2) (1947), 421-435.
13. W.N. Bailey, "Identities of the Rogers-Ramanujan type," Proc. London Math. Soc. 50(2) (1949), 1-10.
14. B. Berndt, Ramanujan's Notebooks, Part III, Springer-Verlag, New York, 1991.