Asymptotics of Pseudo‐Jacobi Polynomials with Varying Parameters
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Abstract
In this paper, we study the asymptotic behavior of the Pseudo‐Jacobi polynomials as for z in the whole complex plane. These polynomials are also known as the Romanovski–Routh polynomials. They occur in quantum mechanics, quark physics, and random matrix theory. When the parameter a is fixed or , there is no real‐line orthogonality. Here, we consider the case when the parameters a and b depend on n ; more precisely, we assume and , where are real constants. Our main tool is the asymptotic method developed for differential equations with a large parameter.
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| Category | Codex | Gemma |
|---|---|---|
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