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Results tagged with real-analysis
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user 11361
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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k-th largest root in common interlacing polynomials
In their proof of the celebrated Kadison-Singer conjecture, Marcus, Spielman and Srivastava exploited so-called interlacing families which are originally defined for their work on Ramanujan graphs. An …
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The Largest Root of Associated Laguerre Polynomial
The Laguerre polynomial $L_n(x)$ is the solution to the Laguerre differential equation
\begin{equation*}
x\,y'' + (1 - x)\,y' + n\,y = 0.
\end{equation*}
The associated Laguerre polynomial $L_n^\alph …