A generalized inverse gausssian distribution with τ-confluent hypergeometric function.

A generalized beta function and associated probability density

“…In a systematic study of generalized pdf and their statistical properties, special functions have played a significant role [2,3,6,7,10]. Chaudhry and Zubair [5,4] have used modified Bessel functions to extend the gamma function, and then used them to define some densities.…”

“…Chaudhry and Zubair [5,4] have used modified Bessel functions to extend the gamma function, and then used them to define some densities. Kalla et al [7] have used a generalized form of hypergeometric function to study a new pdf Ismail Ali et al [3] have used τ-confluent hypergeometric function to define and study a generalized inverse Gaussian distribution. Here we study a new probability density involving the function defined by (1.2).…”

Generating relations and other results associated with some families of the extended Hurwitz-Lerch Zeta functions

“…In fact, it is easily seen from Definition 2 that [Saxena et al (( 2011a ), pp. 315 and 317)] (see also (Al-Zamel 2001 ), (Ali et al 2001 ) and (Virchenko et al 2001 )) …”