Almost poised basic hypergeometric series |
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| Authors: | David M Bressoud |
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| Institution: | (1) Department of Mathematics, The Pennsylvania State University, University Park, 16802 Pennsylvania, USA |
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| Abstract: | Given a basic hypergeometric series with numerator parametersa
1,a
2, ...,a
r and denominator parametersb
2, ...,b
r, we say it isalmost poised ifb
i, =a
1
q
δ,i
a
i,δi = 0, 1 or 2, for 2 ≤i ≤r. Identities are given for almost poised series withr = 3 andr = 5 when a1, =q
−2n.
Partially supported by N.S.F. Grant No. DMS-8521580. |
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| Keywords: | Hypergeometric series poised series |
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