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

  • Hemant Kumar D.A-V. College.
  • Mahmood Ahmad Pathan University of Botswana.
  • R. C. Singh Chandel D.A-V. College.
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.

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.

Biografía del autor

Hemant Kumar, D.A-V. College.
Department of Mathematics.
Mahmood Ahmad Pathan, University of Botswana.
Department of Mathematics.
R. C. Singh Chandel, D.A-V. College.
Department of Mathematics.

Citas

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[10] K. Takano, On the infinite divisibility of normed conjugate product of Gamma function, Proc. of 4th Int. Conf. SSFA, (4), pp. 1-8, (2003).

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Publicado
2011-01-07
Cómo citar
Kumar, H., Pathan, M., & Chandel, R. C. (2011). On the distributions of the densities involving non-zero zeros of bessel and legendre functions and their infinite divisibility. Proyecciones. Journal of Mathematics, 29(3), 165-182. https://doi.org/10.4067/S0716-09172010000300001
Sección
Artículos