The main purpose of this paper is to consider an explicit form of the Padé-type operators. To do so, we consider the representation of Padé-type approximants to the Fourier series of the harmonic functions in the open disk and of the -functions on the circle by means of integral formulas, and, then we define the corresponding Padé-type operators. We are also oncerned with the properties of these integral operators and, in this connection, we prove some convergence results.
Nicholas J. Daras. "Integral representations for Padé-type operators." J. Appl. Math. 2 (2) 51 - 69, 8 May 2002. https://doi.org/10.1155/S1110757X02112125