A Note on Natural Transformation of Exton’s Triple Series Hypergeometric Function

Authors

  • Harsh verdhan Harsh ICFAI Tech. School, ICFAI University Jaipur, Agra Road, Jamdoli, Jaipur, Rajasthan, India
  • Puneet Krishna Sharma Amity School of Applied Sciences, Amity University Jaipur, Rajasthan, India
  • Shabana Khan Faculty of Engineering and Technology, Jamia Millia Islamia University Okhla, New Delhi, India

DOI:

https://doi.org/10.3126/njmathsci.v1i0.34176

Keywords:

Hypergeometric functions, Exoton's triple series, N-transform

Abstract

Triple series hypergeometric functions are very important from the applications point of view. Exton had defined 20 triple hypergeometric functions namely X1 , X2 , … , X20. Integral transform technique is widely using for research purpose. Natural transform is a new kind of integral transform and generalization of Laplace transform. In the present research note, we give the Natural integrals of the triple series hypergeometric function due to Exton.

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Author Biographies

Harsh verdhan Harsh, ICFAI Tech. School, ICFAI University Jaipur, Agra Road, Jamdoli, Jaipur, Rajasthan, India

Faculty of Sci. & Tech.

Puneet Krishna Sharma, Amity School of Applied Sciences, Amity University Jaipur, Rajasthan, India

Department of Applied Mathematics

Shabana Khan, Faculty of Engineering and Technology, Jamia Millia Islamia University Okhla, New Delhi, India

Department of Applied Sciences and Humanities

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Published

2020-10-31

How to Cite

Harsh, H. verdhan, Sharma, P. K., & Khan, S. (2020). A Note on Natural Transformation of Exton’s Triple Series Hypergeometric Function. Nepal Journal of Mathematical Sciences, 1, 77–84. https://doi.org/10.3126/njmathsci.v1i0.34176

Issue

Vol. 1 (2020)

Section

Articles

License

© School of Mathematical Sciences, Tribhuvan University