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Differential operators, shifted parts, and hook lengths

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Abstract

We discuss Sakaguchi-type differential operators, their eigenvalues, and a generalization of Andrews–Goulden–Jackson formula. These will be applied to extract explicit formulae involving shifted partitions and hook lengths.

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  1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, USA

    Tewodros Amdeberhan

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  1. Tewodros Amdeberhan
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Correspondence to Tewodros Amdeberhan.

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Amdeberhan, T. Differential operators, shifted parts, and hook lengths. Ramanujan J 24, 259–271 (2011). https://doi.org/10.1007/s11139-010-9271-0

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  • DOI: https://doi.org/10.1007/s11139-010-9271-0

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