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The Andrews Festschrift pp 349–426Cite as

Advanced Determinant Calculus

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Abstract

The purpose of this article is threefold. First, it provides the reader with a few useful and efficient tools which should enable her/him to evaluate nontrivial determinants for the case such a determinant should appear in her/his research. Second, it lists a number of such determinants that have been already evaluated, together with explanations which tell in which contexts they have appeared. Third, it points out references where further such determinant evaluations can be found.

Research partially supported by the Austrian Science Foundation FWF, grants P12094-MAT and P13l90-MAT

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  1. Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090, Wien, Austria

    C. Krattenthaler

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    Dominique Foata

  2. I.R.M.A. et C.N.R.S., Université Louis Pasteur, 7, rue René-Descartes, 67084, Strasbourg, France

    Guo-Niu Han

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Dedicated to the pioneer’ of determinant evaluations (among many other things), George Andrews

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Krattenthaler, C. (2001). Advanced Determinant Calculus. In: Foata, D., Han, GN. (eds) The Andrews Festschrift. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56513-7_17

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