An orthogonal set composed from the functions enx, n ⩾ 0, x ⩽ 0

摘要

This paper presents an orthogonal set composed of the functions enx with x ⩽ 0 and n ⩾ 0. In addition to the recurrence relation for this orthogonal set, two relationships are derived which give the set of differential equations for which the orthogonal set is a solution.