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Full-Text Articles in Special Functions
On A Double Integral Involving The I-Function Of Two Variables, Shantha K. Kumari, Vasudevan T. M. Nambisan
On A Double Integral Involving The I-Function Of Two Variables, Shantha K. Kumari, Vasudevan T. M. Nambisan
Applications and Applied Mathematics: An International Journal (AAM)
In this paper we establish an interesting double integral involving the I-function of two variables recently introduced in the literature. Since I-function of two variables is a very generalized function of two variables and it includes as special cases many of the known functions appearing in the literature, a number of integrals can be obtained by reducing the I-function of two variables to simpler special functions by suitably specializing the parameters. A few special cases of our result are also discussed.
On Some Summation Formulae For The I-Function Of Two Variables, Shantha K. Kumari, Vasudevan T. M. Nambisan
On Some Summation Formulae For The I-Function Of Two Variables, Shantha K. Kumari, Vasudevan T. M. Nambisan
Applications and Applied Mathematics: An International Journal (AAM)
In this research paper, we aim to establish three interesting summation formulae for the I-function of two variables recently introduced in the literature. The results are derived with the help of classical summation theorems due to Watson, Dixon and Whipple. A few known results are also obtained as special cases of our main findings. Since the I-function of two variables is the most generalized function of two variables and it includes as special cases many of the known functions appearing in the literature, the results derived in this paper will therefore serve as the key formulas from which a large …