A theorem for kernel functions

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A Theorem for Kernel Functions

Let B be a domain lying in the complex z plane and KB(z, t) its kernel function. A number of relationships exist between the kernel and the geometric properties of the domain. (See, for example, [l].)1 It is the purpose of the present note to relate the successive derivatives of the kernel with the domain B. If z is interior to B, we shall denote by rB(z) the shortest distance from the point z ...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1951

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1951-0043902-x