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The m m determinant of hyperbolic Bessel functions det jI a i ?b j (2x)j can be factored into two smaller determinants by elementary operations if a i = ?a m+1?i and b i = ?b m+1?i. We give combinatorial interpretations for these determinants as exponential generating functions for walks which stay within Weyl chambers. We then use these to provide a… (More)
Judith Grabiner, Pitzer College describes how the 19th century saw radical change, producing new ideas of space, destroying the unchallenging authority of mathematics, revolutionising art, making relativity possible and helping create modernism.