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A new general
conjugate Bailey pair
Michael J. Rowell |
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Vol. 238 (2008), No. 2, 367–385
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Abstract |
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We introduce a new general conjugate Bailey pair which bridges the gap between Bailey and Slater’s work and the work done recently by Andrews and Warnaar. With this new general pair we are able to find many useful conjugate Bailey pairs similar to those of Andrews and Warnaar. Using our new pairs we show results related to the sums of triangular numbers, indefinite quadratic forms and partition identities. We close with a brief discussion of the many other paths that can and will be taken in the future. |
Keywords
basic hypergeometric series, conjugate Bailey pairs
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Mathematical Subject Classification 2000
Primary: 05A19, 11P82, 05A18, 33D15
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Milestones
Received: 19 February 2008
Revised: 26 June 2008
Accepted: 2 September 2008
Published: 1 December 2008
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Authors |
| Michael J. Rowell | |
| Department of Mathematics and
Computer Science Pacific University Forest Grove, OR 97116 United States |
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| www.math.pacificu.edu/~rowell | |
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