engleski

Probability distributions associated with Mathieu type series

The main object of this article is to present a systematic study of probability density functions and distributions associated with Mathieu series and their generalizations. Characteristic functions and fractional moments related to the probability density functions of the considered distributions are derived by means of Mathieu type series and Hurwitz-Lerch Zeta function. Special attention will be given to the so-called Planck(p)distribution.

Mathieu and Mathieu type series ; Fourier sine and cosine transforms ; Fox H-function ; Integral representations ; Probability density functions ; Characteristic function ; Fractional moments ; Planck distribution

nije evidentirano