An operational procedure for Hankel type integrals

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Hankel hyperdeterminants and Selberg integrals

Abstract. We investigate the simplest class of hyperdeterminants defined by Cayley in the case of Hankel hypermatrices (tensors of the form Ai1i2...ik = f(i1+i2+· · ·+ik)). It is found that many classical properties of Hankel determinants can be generalized, and a connection with Selberg type integrals is established. In particular, Selberg’s original formula amounts to the evaluation of all Ha...

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ژورنال

عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences

سال: 1987

ISSN: 0161-1712,1687-0425

DOI: 10.1155/s0161171287000346