ON THE DISTRIBUTIONS OF THE DENSITIES INVOLVING NON-ZERO ZEROS OF BESSEL AND LEGENDRE FUNCTIONS AND THEIR INFINITE DIVISIBILITY
In the present paper, we introduce the probability density functions involving non-zero zeros of the Bessel and Legendre functions. Then, we evaluate the distributions of the characteristic functions defined by these probability density functions and again obtain their related functions and polynomi...
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Universidad Católica del Norte, Departamento de Matemáticas
2010
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oai:scielo:S0716-091720100003000012010-12-29ON THE DISTRIBUTIONS OF THE DENSITIES INVOLVING NON-ZERO ZEROS OF BESSEL AND LEGENDRE FUNCTIONS AND THEIR INFINITE DIVISIBILITYKumar,HemantA. Pathan,MC. Singh Chandel,R Probability density functions characteristic functions non zero zeros of Bessel and Legendre functions infinite divisibility In the present paper, we introduce the probability density functions involving non-zero zeros of the Bessel and Legendre functions. Then, we evaluate the distributions of the characteristic functions defined by these probability density functions and again obtain their related functions and polynomials. Finally, we prove the infinite divisibility of these probability density functions.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.29 n.3 20102010-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300001en10.4067/S0716-09172010000300001 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
topic |
Probability density functions characteristic functions non zero zeros of Bessel and Legendre functions infinite divisibility |
spellingShingle |
Probability density functions characteristic functions non zero zeros of Bessel and Legendre functions infinite divisibility Kumar,Hemant A. Pathan,M C. Singh Chandel,R ON THE DISTRIBUTIONS OF THE DENSITIES INVOLVING NON-ZERO ZEROS OF BESSEL AND LEGENDRE FUNCTIONS AND THEIR INFINITE DIVISIBILITY |
description |
In the present paper, we introduce the probability density functions involving non-zero zeros of the Bessel and Legendre functions. Then, we evaluate the distributions of the characteristic functions defined by these probability density functions and again obtain their related functions and polynomials. Finally, we prove the infinite divisibility of these probability density functions. |
author |
Kumar,Hemant A. Pathan,M C. Singh Chandel,R |
author_facet |
Kumar,Hemant A. Pathan,M C. Singh Chandel,R |
author_sort |
Kumar,Hemant |
title |
ON THE DISTRIBUTIONS OF THE DENSITIES INVOLVING NON-ZERO ZEROS OF BESSEL AND LEGENDRE FUNCTIONS AND THEIR INFINITE DIVISIBILITY |
title_short |
ON THE DISTRIBUTIONS OF THE DENSITIES INVOLVING NON-ZERO ZEROS OF BESSEL AND LEGENDRE FUNCTIONS AND THEIR INFINITE DIVISIBILITY |
title_full |
ON THE DISTRIBUTIONS OF THE DENSITIES INVOLVING NON-ZERO ZEROS OF BESSEL AND LEGENDRE FUNCTIONS AND THEIR INFINITE DIVISIBILITY |
title_fullStr |
ON THE DISTRIBUTIONS OF THE DENSITIES INVOLVING NON-ZERO ZEROS OF BESSEL AND LEGENDRE FUNCTIONS AND THEIR INFINITE DIVISIBILITY |
title_full_unstemmed |
ON THE DISTRIBUTIONS OF THE DENSITIES INVOLVING NON-ZERO ZEROS OF BESSEL AND LEGENDRE FUNCTIONS AND THEIR INFINITE DIVISIBILITY |
title_sort |
on the distributions of the densities involving non-zero zeros of bessel and legendre functions and their infinite divisibility |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2010 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300001 |
work_keys_str_mv |
AT kumarhemant onthedistributionsofthedensitiesinvolvingnonzerozerosofbesselandlegendrefunctionsandtheirinfinitedivisibility AT apathanm onthedistributionsofthedensitiesinvolvingnonzerozerosofbesselandlegendrefunctionsandtheirinfinitedivisibility AT csinghchandelr onthedistributionsofthedensitiesinvolvingnonzerozerosofbesselandlegendrefunctionsandtheirinfinitedivisibility |
_version_ |
1718439770355400704 |