On real zeros of random polynomials with hyperbolic elements
1998 ◽
Vol 21
(2)
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pp. 347-350
Keyword(s):
This paper provides the asymptotic estimate for the expected number of real zeros of a random hyperbolic polynomialg1coshx+2g2cosh2x+…+ngncoshnxwheregj,(j=1,2,…,n)are independent normally distributed random variables with mean zero and variance one. It is shown that for sufficiently largenthis asymptotic value is(1/π)logn.
2015 ◽
Vol 2015
◽
pp. 1-7
2001 ◽
Vol 14
(3)
◽
pp. 265-274
◽
1997 ◽
Vol 10
(3)
◽
pp. 257-264
1999 ◽
Vol 22
(3)
◽
pp. 579-586
1997 ◽
Vol 10
(1)
◽
pp. 57-66
◽
2004 ◽
Vol 2004
(63)
◽
pp. 3389-3395
Keyword(s):
2006 ◽
Vol 2006
◽
pp. 1-6
◽
2003 ◽
Vol 21
(1)
◽
pp. 223-234
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