A simple proof of Andrews’s 5F4 evaluation
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We give a simple proof of George Andrews’s balanced 5F4 evaluation using two fundamental principles: the nth difference of a polynomial of degree less than n is zero, and a polynomial of degree n that vanishes at n+1 points is identically zero.
KeywordsHypergeometric series evaluation Balanced 5F4
Mathematics Subject Classification33C20
- 2.Andrews, G.E.: Pfaff’s method. III. Comparison with the WZ method. Electron. J. Comb. 3(2), 21 (1996), 18 pp. Google Scholar
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