Lemma A.6 (Kummer’s transformation law) . [0572] Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.
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Lemma A.6 (Kummer’s transformation law).
Let α ∈ ℝ ∖ { 0 , − 1 , − 2 , − 3 , … } \fa\in\mathbb{R}\setminus\{0,-1,-2,-3,\ldots\} β ∈ ℝ \fb\in\mathbb{R} y ∈ ℝ y\in\mathbb{R}
(A.35) Φ ♯ ( β , α , y ) = e y ⋅ Φ ♯ ( α − β , α , − y ) . \Ku(\fb,\fa,y)=e^{y}\cdot\Ku(\fa-\fb,\fa,-y).