Real Zeros of a Class of Hyperbolic Polynomials with Random Coefficients
We have proved here that the expected number of real zeros of a random hyperbolic polynomial of the form y=Pnt=n1a1cosht+n2a2cosh2t+⋯+nnancoshnt, where a1,…,an is a sequence of standard Gaussian random variables, is n/2+op(1). It is shown that the asymptotic value of expected number of times the...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2015/261370 |
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