Open AccessFRACTIONAL INTEGRAL OPERATOR AND STATISTICAL DISTRIBUTION
Author(s) -
Mrjdula Garg,
Mahesh Gupta
Publication year - 1997
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.28.1997.4321
Subject(s) - mathematics , operator (biology) , distribution (mathematics) , function (biology) , distribution function , fractional calculus , characteristic function (probability theory) , calculus (dental) , mathematical analysis , probability density function , statistics , biochemistry , chemistry , physics , repressor , quantum mechanics , evolutionary biology , biology , transcription factor , gene , medicine , dentistry
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.