Abstract
The recursion of de Branges in the form , given in [3] and [4], is considered. In the first part, starting with arbitrary initial values τ k (0)K = 1, 2, …n, a connection between this recursion and the ordinary differential equations is established. Furthermore a conjunction of our method with that of Henrici [4] is derived. The second part is based on the initial values of de Brange, τ k (0) = n- k+1k = 1, 2, …n. Virtually by means of the Laplace transformation the special function system of de Branges is derived in a very easy manner.
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