On the distributions of the densities involving non-zero zeros of bessel and legendre functions and their infinite divisibility.

Hemant Kumar, Mahmood Ahmad Pathan, R. C. Singh Chandel

Resumen


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.

Palabras clave


Probability density functions; characteristic functions; non zero zeros of Bessel and Legendre functions; infinite divisibility; funciones de densidad probabilística; funciones características; no-ceros de Bessel y funciones de Legendre.

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Referencias


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DOI: http://dx.doi.org/10.4067/S0716-09172010000300001

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