On an identity by Chaundy and Bullard. I
作者： Tom H. Koornwinder , Michael J. Schlosser
DOI: 10.1016/S0019-3577(08)80002-X
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摘要: An identity by Chaundy and Bullard writes 1/(1 - x)n (n = l, 2,...) as a sum of two truncated binomial series. This was rediscovered many times. Notably, special case I. Daubechies, while she setting up the theory wavelets compact support. We discuss or survey different proofs identity, also its relationship with Gaus hypergeometric consider extension to complex values parameters which occur summation bounds. The paper concludes discussion multivariable analogue first given Damjanovic, Klamkin Ruehr. give Lauricella functions corresponding PDEs. ends new proof splitting Dirichlet's beta integral.
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