Application of a new integral expansion for solving a class of functional equations
The authors use a certain type of integral expansion formula for analytic functions to solve explicitly several particular cases of the system of equations \( f^{(k+1)}(a)+b_k f^{(k)}(a)=c_k \), \( k=0,1,2, \dots \), where \(a\) is given point on the real line, and \( (b_k), (c_k) \) are given sequences of real numbers.
scientific article; zbMATH DE number 5692726