International Journal of
Advanced Multidisciplinary Application

Volume 2, Issue 7

• Author(s)P .C Sreenivas, P V Maya, T M Vasudevan Nambisan,T M Vidya
• AffiliationPrincipal,Gurudev Arts and Science College Mathil, Payyanur, Kannur District, Kerala, India, Assistant Professor, Department of mathematics, Mahatma Gandhi College, Iritty, Emerits Professor, College of Engineering, Trikaripur,India, Assistant Professor, Department of mathematics, Mahatma Gandhi College, Iritty,
• Page No.1-6
• Volume, Issue & YearVolume 2, Issue 7, July-2025
• Published On2025/07/30
• JournalInternational Journal of Advanced Multidisciplinary Application (IJAMA)
• ISSN No.3048-9350
• DOIhttps://doi.org/10.5281/zenodo.17528005

Article Indexing

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

References

1. 1 Exton, H. (1978). Handbook of Hypergeometric Integrals. Ellis Horwood Publishers, England.<br>
2. 2 Fox, C. (1961). The G and H-functions as symmetrical Fourier kernels. Trans Amer Math. Soc., 98.<br>
3. 3 Mathai, A. M., & Saxena, R. K. (1978). The H-function with applications in Statistics and other disciplines. Wiley Eastern Ltd., New Delhi.<br>
4. 4 Mohammed, T. (Ph.D thesis). Special functions and their applications. University of Calicut.<br>
5. 5 Moharir, S. K., & Saxena, R. K. (1983). A new multivariate probability density function. Indian J. Pure Appl. Math., 14(7), 806–810.<br>
6. 6 Mukhargee, S. N., & Prasad, Y. N. (1971). Some infinite integrals involving the product of H-functions. The Mathematics Education, Vol. V, No. 1, March 1971.<br>
7. 7 Prathima, J. (2014). Investigations in Integral Transforms involving I-functions of Complex Variables (Ph.D Thesis). Sri Chandrashekarendra Saraswathi Viswa Maha Vidyalaya, Kanchipuram.<br>
8. 8 Prabhakar, T. R. (1971). Some integral equations with Kumar’s function in the kernels. Canad. Math. Bull.<br>
9. 9 Richard, A. Askey (1975). Theory and applications of Special Functions. Academic Press, Inc., New York.<br>
10. 10 Srivastava, H. M., & Panda, R. (1976). Some bilateral generating functions for a class of generalized hypergeometric polynomials. J. Reine Angew. Math.<br>

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