Formula (53) of the present paper and a proof of theorem 5 based on it have just been published by Enzo Martinelli (...).
[1] The present author may be permitted to state that these results have been presented by him in a Princeton graduate course in Winter 1940/1941 and were subsequently incorporated, in a Princeton doctorate thesis (June 1941) by Donald C. May, entitled: An integral formula for analytic functions of k variables with some applications.However this author's claim in loc.
footnote 1,[2] that he might have been familiar with the general shape of the formula before Martinelli, was wholly unjustified and is hereby being retracted.For ζ, z in
Suppose that f is a continuously differentiable function on the closure of a domain D in
Then the Bochner–Martinelli formula states that if z is in the domain D then In particular if f is holomorphic the second term vanishes, so