Proposition 5.6 . [053X] Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.
Source coverage notes Source fidelity gap: the original arXiv HTML omits an author TeX footnote attached to equation e:def-omega, including its reference to Remark r:error-function. The retained HTML is preserved as published; the original author TeX remains available. TeX correspondence is not complete. Complete original source context · Original author HTML
Proposition 5.6 .
For every k ∈ ℕ k\in\mathbb{N} 𝒢 k ( z ) \mathcal{G}_{k}(z) 𝒟 k ( z ) \mathcal{D}_{k}(z)
(5.83) 𝒲 ( 𝒢 k ( z ) , 𝒟 k ( z ) ) = Γ ( α − 1 ) Γ ( α − β ) ⋅ j k 1 n . \mathcal{W}(\mathcal{G}_{k}(z),\mathcal{D}_{k}(z))=\frac{\Gamma(\alpha-1)}{\Gamma(\alpha-\beta)}\cdot j_{k}^{\frac{1}{n}}.