Robin conditions on the Euclidean ball

  title={Robin conditions on the Euclidean ball},
Techniques are presented for calculating directly the scalar functional determinant on the Euclidean d -ball. General formulae are given for Dirichlet and Robin boundary conditions. The method involves a large mass asymptotic limit which is carried out in detail for d = 2 and d = 4 incidentally producing some specific summations and identities. Extensive use is made of the Watson-Kober summation formula. 



Heat kernel coefficients of the Laplace operator on the D‐dimensional ball

We present a very quick and powerful method for the calculation of heat kernel coefficients. It makes use of rather common ideas, as integral representations of the spectral sum, Mellin transforms,

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