The factorial Schur function

Journal Article · Wed Sep 01 00:00:00 EDT 1993 · Journal of Mathematical Physics (New York); (United States)

DOI:https://doi.org/10.1063/1.530032· OSTI ID:6217257

Chen, W Y.C. ^[1]; Louck, J D ^[2]

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1. C-3, Mail Stop B265, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

The application of the divided difference of a function to the inhomogeneous symmetric functions (factorial Schur functions) of Biedenharn and Louck is shown to lead to new relations and simplified proofs of their properties. These results include determinantal definitions and the factorial Jacobi--Trudi identities with extensions to skew versions. Similar properties of a second class of symmetric functions depending on an arbitrary parameter, and of importance for generalized hypergeometric functions and series, are shown also to be derivable from the divided difference notion, slightly extended.

• OSTI ID: 6217257
• Journal Information: Journal of Mathematical Physics (New York); (United States), Vol. 34:9; ISSN 0022-2488
• Country of Publication: United States
• Language: English

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