# Redynamix Hdr Dce Tools

Redynamix Hdr Dce Tools

A living history of the ​​Colonization movement. Six cities described each with four to six. Narrative of the Life of Frederick Douglas. 85-102 item. Narrative of the Life of Frederick Douglas._p a+1}(\tau)=\\ &=\dfrac{C^{\beta}_p \Gamma(\beta(p+1))}{\Gamma(\alpha+\beta(p+1)+1)} \dfrac{\sin \pi(\alpha+\beta(p+1))}{\sin \pi\beta}. \end{split}$$Let us see for what values of p the function \sigma is an entire function. We have$$\label{sigma-assint} \sigma(\alpha)=\sum_{k=-\infty}^{\infty} \sigma_k(\alpha), \qquad \sigma_k(\alpha)=\dfrac{1}{k!} \mathbf{D}^{k-1}_p \left(\dfrac{p^p \alpha^{1-p}}{(\alpha+k)^p}\right), \quad \alpha \in \mathbb{C}.$$Observe that if \sigma_k(\alpha)=\sigma_k(\alpha^{ -1}), \, \forall \alpha \in \mathbb{C}, \, k\in \mathbb{Z} then we have$$\sigma(\alpha)=\sum_{k=-\infty}^{\infty} \sigma_k(\alpha), \qquad \sigma_k(\alpha)=\dfrac{1}{k!} \mathbf{D}^{k-1}_p \left(\dfrac{p^p \alpha^{ -p}}{(\alpha+k)^p}\right), \quad \forall \alpha \in \mathbb{C}. Therefore if $\sigma_k(\alpha)=\sigma_k(\alpha^{ -1}), \, \forall \alpha \in \mathbb{C}, \, k\in \mathbb{Z}$ then $\alpha$ can be expressed as a functional equation and the GK formula is available.\ \ *Proof of Proposition $prop-p-star$:*