Non-homogeneous directional equations: Slice solutions belonging to functions of bounded -index in the unit ball
For a given direction we study non-homogeneous directional linear higher-order equations whose all coefficients belong to a class of joint continuous functions which are holomorphic on intersection of all directional slices with a unit ball. Conditions are established providing boundedness of -index in the direction with a positive continuous function satisfying some behavior conditions in the unit ball. The provided conditions concern every solution belonging to the same class of functions...