Abstract
In some recent investigations involving certain differential operators for the Chan–Chyan–Srivastava multivariable polynomials, Chan et al. encountered and proved a certain summation identity for the Chan–Chyan–Srivastava multivariable polynomials. The main object of this paper is to present a second-order linear partial differential operator L φ associated with the Chan–Chyan–Srivastava multivariable polynomials. We show that the Chan–Chyan–Srivastava multivariable polynomials are eigenfunctions of L φ. In addition, we find all eigenfunctions of L φ in the space of polynomials.
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