Аннотации:
Abstract: The Darboux problem and the definition of the Riemann–Hadamard function arepresented for the Bianchi equation of the fourth order—a linear fourth-order equation withfour independent variables that has a dominant derivative not containing multiple differentiationwith respect to any of the independent variables. Sufficient conditions on the coefficients of thisequation under which its Riemann–Hadamard function allows explicit construction in terms ofhypergeometric functions are obtained.