Asymptotic Estimates for Real Zeros of Random Polynomials

ABSTRACT

This  paper  provides  asymptotic  estimates strong result for  real zeros of random  algebraic polynomial for  the  expected number  of  real  zeros   of  a  random  algebraic polynomial  of  the  form. The strong result for the lower bound was obtained in the general case by their lower bound was Which is obtained by taking    in our present result .This  result  is  better  than  that  of  Dunnage  since  our  constant  is  (1/√2) Times  his  constant  and  our  error  term  is  smaller . the  proof  is  based  on  the  convergence  of  an  integral  of  which  an  asymptotic  estimation  is  obtained .

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Updated: June 26, 2023 — 3:10 am