Integral representation for Borel sum of divergent solution to a certain non-Kowalevski type equation (Q1884460)

The author investigates necessary and sufficient conditions for the Borel summability of a formal power series solution with respect to the time variable of a Cauchy problem, which is divergent in general. He gives an integral representation of the Borel sum by using kernel functions which are given by Meijer's \(G\)-function or the generalized hypergeometric functions of confluent type.