The Ramanujan Journal

, Volume 24, Issue 3, pp 259–271 | Cite as

Differential operators, shifted parts, and hook lengths

Article

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.

Keywords

Sakaguchi differential operators Shifted parts Hook lengths 

Mathematics Subject Classification (2000)

05E10 05E05 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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