Abstract
W.E. Clark and M.E.H. Ismail conjectured the inequality $$\displaylines{\left[\frac{x^{n}}{1-e^{-x}}\right] ^{(n)}>0,\qquad 0<x<\infty, n=1,\ldots} $$ (1) We prove the inequality for values of x in the interval (2ln 2,∞). The proof involves writing the derivatives as an infinite series of Laguerre polynomials.
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