Poisson Formulas for Boundary Value Problems for the Euler–Poisson–Darboux Equation.

We consider the Cauchy problem for the Euler–Poisson–Darboux equation with boundary conditions. The Bessel operators in the equation can have different parameters. We establish a representation of the solution in the form of the Poisson formula with a special shift generated by the product of cylindrical functions of the first kind and different orders. [ABSTRACT FROM AUTHOR]