APPLICATION OF CERTAIN FRACTIONAL CALCULUS OPERATORS IN STATISTICAL DISTRIBUTIONS

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Published: Mar 1, 1996
DOI: https://doi.org/10.5556/j.tkjm.27.1996.4360
Keywords:
Fractional calculus operators univariate and multivariate distributions Charecteristic functions Cummulative functions

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R. K. RAINA
Department of Mathematics, C.T .A.E., Campus Udaipur, Udaiput 313001 (Rajsthan), INDIA.
MAMTA BOLIA
Department of Mathematics, College of Science,Udaipur, Udaiput 313001 (Rajsthan), INDIA.

Abstract




This paper deals with the application of certain classes of fractional calculus operators in statistical distributions. The images of product combinations of special functions under the calculus of operators are applied to certain general­ ized forms of univariate and multivariate statistical distributions. Further results giving the expectations, cummulative functions and characteristic functions of such special function distributions are also obtained.




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How to Cite
RAINA, R. K., & BOLIA, M. (1996). APPLICATION OF CERTAIN FRACTIONAL CALCULUS OPERATORS IN STATISTICAL DISTRIBUTIONS. Tamkang Journal of Mathematics, 27(1), 27–36. https://doi.org/10.5556/j.tkjm.27.1996.4360
Issue
Vol. 27 No. 1 (1996)
Section
Papers
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