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$(\hat{ξ}, \hat{η}) \in C^{2} ρ = - δ (2 - δ) . \hat{h} \in C^{2} ({\bar{Ω}}_{r}),$ $(\hat{ξ}, \hat{η}) \in C^{2},$ $(\hat{ξ}, \hat{η}) \in C^{2}$ . $L_{σ} (p; (ξ, η)) \frac{\partial^{2} ρ}{\partial w \partial \bar{w}} = 1; ζ_{=} \exp (i \ln | z |^{2})$ $δ = 0,$ $p = (z, 0) \in M_{r}$ . $\frac{\partial^{2} ρ}{\partial z k} = 2 \frac{δ}{| z |^{2}}$ ;

$| p σ σ σ σ z Ω_{r} \hat{σ}$ . $Ω_{r}$ : $Ω_{r} .$ ) $0 < δ < 1 (ξ, η) 0 < δ < 1.1 ≦ | z | ≦ r 1 ≦ | z | ≦ r 1 ≦ | z | ≦ r$

$z \in C,$ $δ \in R \frac{\partial ρ}{\partial z} = 0; (\hat{ξ}, δ \hat{η}) (ξ, η) \in C^{2}$

$p = (z, - δ \exp (i \ln | z |^{2}))]$ . $\frac{\partial ρ}{\partial w} = (1 - δ) \exp (i \ln | z |^{2}); \frac{\partial^{2} ρ}{\partial z \partial \bar{w}} = \frac{i}{Z} \exp (i \ln | z |^{2})$ ;

$[) = (z, w) = (z, - δ \exp (i \ln | z |^{2}))$

$+ τ δ \hat{h} + τ (1 - τ) \frac{(1 - δ)^{2}}{2 - δ} \hat{h}) | η |^{2}} . \hat{σ} (z, w) = - \tilde{h} (| z |^{2}, w) (- ρ_{r} (z, w))^{1 / ι}$

$+ (2 - δ) (- δ^{2} (2 - δ) \frac{\partial^{2} \hat{h}}{\partial w \partial \bar{w}} + 2 τ δ (1 - δ) Re (ζ \frac{\partial \hat{h}}{\partial w})$

$+ 2 δ (2 - δ) Re [(- δ (2 - δ) \frac{\partial^{2} \hat{h}}{\partial z \partial \bar{w}} + τ (1 - δ) \frac{\partial \hat{h}}{\partial z} + τ \frac{i}{Z} ζ \hat{h}) ξ \notin$

$g_{σ} {p; (ξ, η)) = δ^{τ - 2} (2 - δ)^{τ - 2} (δ^{2} (2 - δ) (- (2 - δ) \frac{\partial \hat{h}}{\partial z \partial \bar{z}} + 2 τ \hat{h} \frac{1}{| z |^{2}}) | ξ |^{2}$

$+ (- δ^{2} (2 - δ) \frac{\partial^{2} \hat{h}}{\partial w \partial \bar{w}} + 2 τ δ (1 - δ) Re (ζ \frac{\partial \hat{h}}{\partial w}) + τ δ \hat{h} + τ (1 - τ) \frac{(1 - δ)^{2}}{2 - δ} \hat{h}) | \hat{η} |^{2} ≧ 0$

$(^{- 2 \frac{\partial^{2} \hat{h}}{\partial z \partial \bar{z}} + 2 \frac{τ}{| z |^{2}} \hat{h}) | ξ |^{2} + 2 Re} ([τ ζ (\frac{\partial \hat{h}}{\partial z} + \frac{i}{Z} \hat{h}) \hat{ξ} \hat{η}] + \frac{1}{2} τ (1 - τ) \hat{h} | \hat{η} |^{2} ≧ 0$

$(^{- (2 - δ) \frac{\partial^{2} \hat{h}}{\partial z 5 \bar{z}} + 2 \frac{τ}{| z |^{2}} \hat{h}) | ξ |^{2} + 2 Re} ([(- δ (2 - δ) \frac{\partial^{2} \hat{h}}{\partial w \partial \bar{w}} + τ (1 - δ) \frac{\partial \hat{h}}{\partial z} + τ \frac{i}{Z} ζ \hat{h}) \hat{ξ} \hat{η}$

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