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Level crossings and turning points of random hyperbolic polynomials

In this paper, we show that the asymptotic estimate for the expected number of K-level crossings of a random hyperbolic polynomial a1sinhx+a2sinh2x+⋯+ansinhnx, where aj(j=1,2,…,n) are independent normally distributed random variables with mean zero and variance one, is (1/π)logn. This result is true...

Whakaahuatanga katoa

I tiakina i:
Ngā taipitopito rārangi puna kōrero
Ngā kaituhi matua: K. Farahmand, P. Hannigan
Hōputu: Artigo
Reo:Inglês
I whakaputaina: Wiley 1999-01-01
Rangatū:International Journal of Mathematics and Mathematical Sciences
Ngā marau:
Urunga tuihono:http://dx.doi.org/10.1155/S0161171299225793
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