Average Number of Points of Inflection of a random sum of orthogonal polynomials
Author:
1LOKANATH SAHOO and 2MINAKETAN MAHANTI
Affiliation:
1Gopobandhu Science College, Athgarh, Cuttack,Odisha Pin-754029 (INDIA)
2College of Basic Science and Humanities, Orissa University of Agriculture and Technology,Bhubaneswar, Odisha (INDIA)
Email :minaketan_mahanti@yahoo.com Email :lokanath.math@gmail.com
Keyword:
Expected Number of Real zeros, Kac-Rice Formula, Normal Density, Jacobi Polynomial
Issue Date:
August 2014
Abstract:
Let be a random polynomial such that ( ) is a sequence of mutually independent normally distributed random variables with mean zero and variance one; ( ) be a sequence of normalized Jacobi polynomials , orthogonal with respect to the interval (-1,1). It is proved that the average number of points of inflection of the random equation y=0 is asymptotic to .
Pages:
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
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Copy the following to cite this article:
1LOKANATH SAHOO and 2MINAKETAN MAHANTI, "Average Number of Points of Inflection of a random sum of orthogonal polynomials", Journal of Ultra Scientist of Physical Sciences, Volume 26, Issue 2, Page Number , 2016Copy the following to cite this URL:
1LOKANATH SAHOO and 2MINAKETAN MAHANTI, "Average Number of Points of Inflection of a random sum of orthogonal polynomials", Journal of Ultra Scientist of Physical Sciences, Volume 26, Issue 2, Page Number , 2016Available from: https://www.ultrascientist.org/paper/396/
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