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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Auteurs principaux:	Kumar,Hemant, A. Pathan,M, C. Singh Chandel,R
Langue:	English
Publié:	Universidad Católica del Norte, Departamento de Matemáticas 2010
Sujets:	Probability density functions characteristic functions non zero zeros of Bessel and Legendre functions infinite divisibility
Accès en ligne:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300001
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spelling	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
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ON THE DISTRIBUTIONS OF THE DENSITIES INVOLVING NON-ZERO ZEROS OF BESSEL AND LEGENDRE FUNCTIONS AND THEIR INFINITE DIVISIBILITY

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