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Lemma A.2 .
For any α > β > 0 \fa>\fb>0 y ∈ ℝ y\in\mathbb{R}
(A.17) Φ ♯ ( β , α , y ) = Γ ( α ) Γ ( β ) Γ ( α − β ) ∫ 0 1 e yt t β − 1 ( 1 − t ) α − β − 1 dt . \Ku(\fb,\fa,y)=\frac{\Gamma(\fa)}{\Gamma(\fb)\Gamma(\fa-\fb)}\int_{0}^{1}e^{yt}t^{\fb-1}(1-t)^{\fa-\fb-1}dt.