Jñānābha, Vol. 50 (2) (2020), (146-152)
HYPERGEOMETRIC FORMS OF SOME MATHEMATICAL FUNCTIONS VIA DIFFERENTIAL EQUATION APPROACH
By
M. I. Qureshi, Shakir Hussain Malik⋆ and Jahan Ara
Department of Applied Sciences and Humanities, Faculty of Engineering and Technology
Jamia Millia Islamia (A Central University), New Delhi -110025, India
Email: miqureshi_delhi@yahoo.co.in, jahanara.jrf15@gmail.com
⋆Corresponding author: malikshakir774@gmail.com
(Received : July 02, 2020 ; Revised: August 20, 2020)
DOI: https://doi.org/10.58250/jnanabha.2020.50219
In this paper, by changing the independent and dependent variables in the suitable ordinary differential equations of first and second order, and comparing the resulting ordinary differential equations with standard ordinary differential equations of Leibnitz and Gauss, we obtain the hypergeometric forms of following functions:
2010 Mathematics Subject Classifications: 33C20, 34-xx.
Keywords and phrases: Hypergeometric functions, Ordinary differential equation, Pochhammer symbol.