This paper provides an asymptotic value for the mathematical expected number ofpoints of inflections of a random polynomial of the forma0(ω)+a1(ω)(n1)1/2x+a2(ω)(n2)1/2x2+…an(ω)(nn)1/2xnwhennis large. The coefficients{aj(w)}j=0n,w∈Ωare assumed to be a sequence of independent normally distributed random variables with means zero and variance one, eachdefined on a fixed probability space(A,Ω,Pr). A special case of dependent coefficients is also studied.
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