In this paper, we first establish a series representation formula for the Askey–Wilson operator applied on entire functions of exponential type and then demonstrate its power in discovering summation ...

Exponential Integrators: Numerical methods that use the matrix exponential to integrate the linear part of a differential equation exactly, thereby mitigating stiffness-related challenges.

The paper deals with the computation of functions of fractional powers of differential operators. The spectral properties of these operators naturally suggest the use of rational approximations. In ...