On distribution of the number of real zeros of a random polynomial
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 8, Tome 320 (2004), pp. 69-79
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In this note we find the distibution of the number of real zeros of a random polynomial. Also we derive the formula for the expected number of complex zeros lying in the specified domain of the complex plain.
[1] M. Kac, Bull. Amer. Math. Soc., 49 (1943), 314–320 | DOI | MR | Zbl
[2] D. C. Stevens, Comm. Pure Appl. Math., 22 (1969), 457–477 | DOI | MR | Zbl
[3] P. Erdös, A. Offord, Proc. London Math. Soc., 6 (1956), 139–160 | DOI | MR | Zbl
[4] I. A. Ibragimov, N. B. Maslova, Teoriya veroyatnostei i ee primeneniya, 16:2 (1971), 229–248 | Zbl
[5] A. Edelman, E. Kostlan, Bull. Amer. Math. Soc., 32 (1995), 1–37 | DOI | MR | Zbl
[6] V. Feller, Vvedenie v teoriyu veroyatnostei i ee prilozheniya, Tom 2, Mir, M., 1984 | MR
[7] L. Santalo, Integralnaya geometriya i geometricheskie veroyatnosti, Nauka, M., 1983 | MR | Zbl