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- W2034244539 abstract "We give a short proof of a result of Askey and Gasper [J. Analyse Math., 31 (1977), pp. 48–68] that $(1 - x - y - z + 4xyz)^{ - beta } $ has positive power series coefficients for $beta geq {{(sqrt {17} - 3)} / 2}$. We also show how Ismail and Tamhankar’s proof [SIAM J. Math. Anal., 10 (1979), pp. 478–485] that [ (1 - (1 - lambda )x - lambda y - lambda xz - (1 - lambda )yz + xyz)^{ - alpha } quad (0 leq lambda leq 1) ] has positive power series coefficients for $alpha = 1$ implies Koornwinder’s result that it does so for $alpha geq 1$." @default.
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- W2034244539 date "1983-03-01" @default.
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- W2034244539 title "On Elementary Methods in Positivity Theory" @default.
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- W2034244539 doi "https://doi.org/10.1137/0514031" @default.
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