The bailey transform and D.B. Sears

Quaestiones Mathematicae

Volumn 22, Issue 1, 1999, Pages 19-27

  Andrews, George E ^a   Bowman, Douglas ^b  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85008827436     PISSN: 16073606     EISSN: 1727933X     Source Type: Journal    
DOI: 10.1080/16073606.1999.9632056     Document Type: Article

References (12)

1. Andrews, G.E., Multiple series Rogers-Ramanujan type identities, Pacific J. Math. 114 (1984), 267-283.
2. Andrews, G.E., On proofs of the Rogers-Ramanujan identities, Prom: q-Series and Partitions, IMA Volumes in Math, and Its Appl. (D. Stanton ed.), Springer, NY, 18 (1989) 1-14.
3. Andrews, G.E., g-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra, CBMS Regional Conference Lecture Series 66 (1986), Amer. Math. Soc., Providence, RI.
4. Bailey, W.N., Identities of the Rogers-Ramanujan type, Proc. London Math. Soc. (2) 50 (1949), 1-10.
5. Gasper, G. and Rahman, M., Basic Hypergeometric Series, Encycl. Math and Its Appl. Vol. 35 (G.-C. Rota ed.), Cambridge University Press, Cambridge, 1990.
6. Sears, D.B., Transformations of basic hypergeometric functions of special type, Proc. London Math. Soc. (2) 52 (1951), 467-483.
7. Sears, D.B., On the transformation theory of hypergeometric functions and cognate trigonometric series, Proc. London Math. Soc. (2) 53 (1951), 138-157.
8. Sears, D.B., On the transformation theory of basic hypergeometric functions, Proc. London Math. Soc. (2) 53 (1951), 158-180.
9. Sears, D.B., Transformations of basic hypergeometric functions of any order, Proc. London Math. Soc. (2) 53 (1951), 181-191.
10. Sears, D.B., Two identities of Bailey, J. London Math. Soc. 27 (1952), 510-511.
11. Slater, L.J., Generalized Hypergeometric Functions, Cambridge University Press, Cambridge, 1966.
12. Watson, G.N., The mock theta functions (2), Proc. London Math. Soc. (2) 42 (1937), 274-304.