(21)=/e--d的解析性
Gamma Function Beta Function Gamma Function: Definition Gamma Function: Analyticity Gamma Function: Properties γ(z, 1) = Z 1 0 e −t t z−1dt)Û5 ' ´y²§Âñ5 Ï e −t t z−1 = e−t t x−1 (x=Rez) ¤±éuz²¡þm²¡ ?«§kRe z ≥ δ > 0 e −t t z−1 ≤ t δ−1 Z 1 0 t δ−1 dtÂñ γ(z, 1)3z²¡þm²¡S4Âñ Ïdγ(z, 1)3m²¡)Û C. S. Wu 1nù Γ¼êB¼ê
(1)=/的解折性 关键也是证明它的一致收敛性
Gamma Function Beta Function Gamma Function: Definition Gamma Function: Analyticity Gamma Function: Properties γ(z, 1) = Z 1 0 e −t t z−1dt)Û5 ' ´y²§Âñ5 Ï e −t t z−1 = e−t t x−1 (x=Rez) ¤±éuz²¡þm²¡ ?«§kRe z ≥ δ > 0 e −t t z−1 ≤ t δ−1 Z 1 0 t δ−1 dtÂñ γ(z, 1)3z²¡þm²¡S4Âñ Ïdγ(z, 1)3m²¡)Û C. S. Wu 1nù Γ¼êB¼ê
(21)=/e--d的解析性 关键也是证明它的一致收敛性 因为e-t-1|=e--1(x=Rez)
Gamma Function Beta Function Gamma Function: Definition Gamma Function: Analyticity Gamma Function: Properties γ(z, 1) = Z 1 0 e −t t z−1dt)Û5 ' ´y²§Âñ5 Ï e −t t z−1 = e−t t x−1 (x=Rez) ¤±éuz²¡þm²¡ ?«§kRe z ≥ δ > 0 e −t t z−1 ≤ t δ−1 Z 1 0 t δ−1 dtÂñ γ(z, 1)3z²¡þm²¡S4Âñ Ïdγ(z, 1)3m²¡)Û C. S. Wu 1nù Γ¼êB¼ê
(21)=/e--d的解析性 关键也是证明它的一致收敛性 因为e--1=e+-1(x=Rez) 所以对于z平面上右半平面 的任一区域,有Rez≥0>0 e-t-≤t-1 d收敛
Gamma Function Beta Function Gamma Function: Definition Gamma Function: Analyticity Gamma Function: Properties γ(z, 1) = Z 1 0 e −t t z−1dt)Û5 ' ´y²§Âñ5 Ï e −t t z−1 = e−t t x−1 (x=Rez) ¤±éuz²¡þm²¡ ?«§kRe z ≥ δ > 0 e −t t z−1 ≤ t δ−1 Z 1 0 t δ−1 dtÂñ γ(z, 1)3z²¡þm²¡S4Âñ Ïdγ(z, 1)3m²¡)Û C. S. Wu 1nù Γ¼êB¼ê
(21)=/e--d的解析性 关键也是证明它的一致收敛性 因为e--1=e+-1(x=Rez) a所以对于2平面上右半平面 的任一区域,有Rez≥0>0 t2-1≤ 而+-d收敛
Gamma Function Beta Function Gamma Function: Definition Gamma Function: Analyticity Gamma Function: Properties γ(z, 1) = Z 1 0 e −t t z−1dt)Û5 ' ´y²§Âñ5 Ï e −t t z−1 = e−t t x−1 (x=Rez) ¤±éuz²¡þm²¡ ?«§kRe z ≥ δ > 0 e −t t z−1 ≤ t δ−1 Z 1 0 t δ−1 dtÂñ γ(z, 1)3z²¡þm²¡S4Âñ Ïdγ(z, 1)3m²¡)Û C. S. Wu 1nù Γ¼êB¼ê