Algebraic polynomials with non-identical random coefficients

K Farahmand; A Nezakati

doi:10.1090/S0002-9939-04-07501-X

Algebraic polynomials with non-identical random coefficients

K Farahmand, A Nezakati

Research output: Contribution to journal › Article

Original language	English
Pages (from-to)	275-283
Journal	Proceedings of the American Mathematical Society
Volume	133
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-04-07501-X
Publication status	Published - 26 Jul 2004

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10.1090/S0002-9939-04-07501-X

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title = "Algebraic polynomials with non-identical random coefficients",

author = "K Farahmand and A Nezakati",

note = "Other Details ------------------------------------ Most work on detecting the mathematical behaviour of algebraic polynomials with random coefficients is for the case of identical distribution. It is known that graphs representing the polynomial oscillate more if the coefficients are non-identical with the largest variance towards the middle term of the polynomial. For the first time we present the conjecture that in general if the variances of coefficients are peaked around the middle, the expected number of oscillations is significantly higher compared to the identical case. The result will also give direction to development of other types of polynomials.",

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AU - Nezakati, A

N1 - Other Details ------------------------------------ Most work on detecting the mathematical behaviour of algebraic polynomials with random coefficients is for the case of identical distribution. It is known that graphs representing the polynomial oscillate more if the coefficients are non-identical with the largest variance towards the middle term of the polynomial. For the first time we present the conjecture that in general if the variances of coefficients are peaked around the middle, the expected number of oscillations is significantly higher compared to the identical case. The result will also give direction to development of other types of polynomials.

PY - 2004/7/26

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