Finite summation formulas of generalized Kamp\'e de F\'eriet series
In the present paper, author obtained finite summation formulas for the generalized Kamp\'e de F\'eriet series. The peculiar outcome for four generalized Lauricella functions and confluent forms of Lauricella series in $n$ variables are also drawn from the finite summation formulas for the generalized Kamp\'e de F\'eriet series.
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Classical Analysis and ODEs