Proyecciones Journal of Mathematics
Vol. 29, N° 3, pp. 165-182, December 2010.
Universidad Católica del Norte
Antofagasta - Chile


ON THE DISTRIBUTIONS OF THE DENSITIES INVOLVING NON-ZERO ZEROS OF BESSEL AND LEGENDRE FUNCTIONS AND THEIR INFINITE DIVISIBILITY


Hemant Kumar¹
M. A. Pathan²
R. C. Singh Chandel³

¹D. A-V. P. G. College Kanpur, India
²University Of Botswana, Botswana
³D. V. P. G. College Orai, India


Correspondencia a:

Abstract

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.

2000 Mathematics Subject Classification : 33C20, 62E15, 60E05, 60E10.

Keywords and Phrases : Probability density functions, characteristic functions, non zero zeros of Bessel and Legendre functions, infinite divisibility.

References

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Hemant Kumar
Department of Mathematics
D. A-V. P. G., College
Kanpur, U. P
India
e-mail : palhemant2007@rediffmail.com


M. A. Pathan
Department of Mathematics
University of Botswana
Gaborone
Botswana
e-mail : mapathan@gmail.com


R. C. Singh Chandel
Department of Mathematics
D. V. P. G., College
Orai, U. P
India
e-mail : rcschandel@yahoo.co.in

Received : September 2009. Accepted : January 2010