# FRACTIONAL INTEGRAL OPERATOR AND STATISTICAL DISTRIBUTION

## DOI:

https://doi.org/10.5556/j.tkjm.28.1997.4321## Keywords:

Fractional integral opetator, Fox's H-function, multivariable H function, a class of polynomials, finite statistical distribution.## Abstract

The present paper deals with a generalized fractional integral operator involving the well-known Fox's H-function. Here, we first obtain the images of certain special functions under this operator and then apply them to the study of a generalized form of a finite statistical distribution. Thus, we obain the distribution function, characteristic function and mathemat ical expectation of a function for this statistical distribution. We also mention certain, known particular cases of our findings.

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*Tamkang Journal of Mathematics*,

*28*(3), 245-252. https://doi.org/10.5556/j.tkjm.28.1997.4321

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