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math.CA2024
Uniformity of Strong Asymptotics in Angelesco Systems
Maxim L. Yattselev
Let and be two complex-valued Borel measures on the real line such that and ${\rm d}μ_i(x) = -…
math.CA2024
On an identity by Ercolani, Lega, and Tippings
Maxim L. Yattselev
In this note we prove that \[ j!\,2^N \, \binom{N+j-1}{j} \, {}_2F_1\left(\begin{matrix}-j,-2j \\ -N-j+1 \end{matrix};-1\right) = \sum_{l=0}^N \binom{N}{l}\prod_{i=0}^{j-1}2(2i+1+l…