V. Thangaraj and M. Sambandham. On Random Polynomials-I: A Survey. Neural Parallel and Scientific Computations 28 (2020), No. 2, 106-142

https://doi.org/10.46719/npsc20202824

Abstract:
Herein, we summarize a set of fundamental results of various random polynomials including
algebraic polynomials, binomial polynomials, trigonometric polynomials, Weyl polynomials, hyperbolic polynomials, etc. This article contains a survey of selected results in random polynomials on the real zeros and distribution of zeros of random polynomials. A few applications are also presented.

Mathematics Subject Classification(2020): 60H25, 47B80, 47H40

Key Words and Phrases: Random Algebraic Polynomials, Random Binomial Polynomials, Random Trigonometric Polynomials, Weyl Polynomials, Random Hyperbolic Polynomials.