Bailey's Lemma

If, for ,

(1)

then

(2)

where

			(3)
			(4)

REFERENCES:

Andrews, G. E. "Multiple Series Rogers-Ramanujan Type Identities." Pacific J. Math. 114, 267-283, 1984.

Andrews, G. E. "Bailey's Lemma" and "Bailey's Lemma in Computer Algebra." §3.4 and 10.4 in q-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra. Providence, RI: Amer. Math. Soc., pp. 25-27 and 99-100, 1986.

Andrews, G. E. "The Fifth and Seventh Order Mock Theta Functions." Trans. Amer. Soc. 293, 113-134, 1986.

Andrews, G. E. "Mock Theta Functions." Proc. Sympos. Pure Math. 49, 283-298, 1989.

Andrews, G. E. and Hickerson, D. "Ramanujan's 'Lost' Notebook VII: The Sixth Order Mock Theta Functions." Adv. Math. 89, 60-105, 1991.

Bailey, W. N. "Identities of the Rogers-Ramanujan Type." Proc. London Math. Soc. 50, 1-10, 1949.