English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study the Fredholm minors associated with a Fredholm equation of thesecond type. We present a couple of new linear recursion relations involvingthe $n$th and $n-1$th minors, whose solution is a representation of the $n$thminor as an $n\times n$ determinant of resolvents. The latter is given a simpleinterpretation in terms of a path integral over non-interacting fermions. Wealso provide an explicit formula for the functional derivative of a Fredholmminor of order $n$ with respect to the kernel. Our formula is a linearcombination of the $n$th and the $n\pm 1$th minors.Comment: 17 pages, Latex, no figures connection to supplementary compound  matrices mentioned, references added, typos correcte

journal of physics. a, mathematical and general/journal of physics. a, mathematical and general

Fredholm's minors of arbitrary order: their representations as a determinant of resolvents and in terms of free fermions and an explicit formula for their functional derivative