Exponentially-improved asymptotics for $q$-difference equations: _2\phi_0$ and $q{\rm P}_{\rm I}

Usually when solving differential or difference equations via series solutions one encounters divergent series in which the coefficients grow like a factorial. Surprisingly, in the $q$-world the $n$th coefficient is often of the size $q^{-\frac12 n(n-1)}$, in which $q\in(0,1)$ is fixed. Hence, the d...

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Hauptverfasser: Joshi, Nalini, Daalhuis, Adri Olde
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Sprache:eng
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