International Journal of Advanced Multidisciplinary Application (IJAMA)

Peer reviewed Journal II Open access Journal II ISSN Approved No: 3048-9350

Author :1P .C Sreenivas, 2P V Maya,  3T M Vasudevan Nambisan, and 4T M Vidya

Affiliation :1Principal,Gurudev Arts and Science College Mathil, Payyanur, Kannur District, Kerala, India

2Assistant Professor, Department of mathematics, Mahatma Gandhi College, Iritty,Kannur District, Kerala,India,,

3Emerits Professor, College of Engineering, Trikaripur,India,

4Assistant Professor, Department of mathematics, Mahatma Gandhi College, Iritty,Kannur District, Kerala,India

Journal :International Journal of Advanced Multidisciplinary Application.(IJAMA)

ISSN No:3048-9350

Volume/Issue : Volume 2 Issue 7 -2025/July ,Page  No: 1 – 6

Abstract:

Abstract- In this paper a density function is derived for the product and ratios of generalized Gamma variables. 

Keywords: Multivariable I–functions, The density function, Melin Transform, Mathematical expectation

Reference :

  1. Exton,H. (1978): Hand book of Hypergeometric integrals,Elis horwood       publishers,England.
  2. Fox C: The G and H-functions as symmetrical fourier kernels,Trans Aner Soc.98 (1961)
  3. Mathai, A and Saxena, R. K. (1978) .The H-function with applications in Statistics and  other disciplne,Wiley Eastern Ltd. ,New Delhi.
  4. Mohammed, T : “Special functions and their applications’’,Ph.D thesis, University of Calicut.
  5. Moharir, S. K. and Saxena,R. K.(1983): Anew multivariate probability density function.Indian J.Pure.appl.Math. 14(7):806-810.
  6. Mukhargee, S. N. and Prasad, Y. N. (1971): Some infinite integrals involving the product  of H-functions, The mathematics education,Vol. V. No. 1, 1971,March.
  7. Prathima,J; ‘Investigations in Integral Transforms involving I-functions of Complex Variables’PhD Thesis, Sri Chandrashekarendra Saraswathi Viswa Maha Vidyalaya, Kanchiparam,(2014).
  8. Prabhakar, T.R(1971):Some integral equations with Kumar’s function in the kernals, Canad. Math. Bull.
  9. Richard,a. Askey(1975): Theory and applications of Special functions, Academic Press,Inc. New York.
  10. Srivastava, H.m. and Panda, R. (1976):Some bilateral generating functions for a class of generalized hyper geometric polynomials,J. Reine. Angew. Math.

 

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