On a new fractional integral operator convoluted with a fractional k-symbol Raina function: stability

The fractional k-symbol Raina function (k-FRF) is convoluted with a class of analytic functions in a complex domain to build a new fractional integral operator (FIO) in this attempt. We research the polynomials produced by the suggested FIO in terms of their geometry and stability. On the basis of the Hadamard product’s characteristics, sufficient criteria are shown (convolution product).