Gamma function 1

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Gamma function 1

,定義 — Γ 函數嘅定義係:. Γ ( z ) = ∫ 0 ∞ e − t t z − 1 d t ( t > 0 ) -displaystyle -Gamma (z)=-int _0}^-infty }e^-t}t^z-1}-mathrm d} t-quad (t>0)} ... ,Euler's definition as an infinite product — In mathematics, the gamma function is one commonly used extension of the factorial function to complex numbers. ,Integers and half-integers — The gamma function is an important special function in mathematics. Its particular values can be expressed in closed form for integer ... ,Infinite product expansion — Reciprocal gamma function 1/Γ(z) in the complex plane. The color of a point z encodes the value of 1/Γ(z). ,由 P Sebah 著作 · 2002 · 被引用 45 次 — log(t) in (1). From this theorem, we see that the gamma function Γ(x) (or the Eulerian integral of the second kind) is well defined and ... ,在Γ函數的記號上,是源自於勒讓德。 目录. 1 動機; 2 定義; 3 ... ,由 EW Weisstein 著作 · 2002 · 被引用 77 次 — Gamma Function · The (complete) gamma function Gamma(n) · It is analytic everywhere except at z=0 · or. Gamma(z)=int_0^1[ln(1/t)] · A beautiful relationship between ... ,-displaystyle -beginarray}lll}-Gamma (-3/2)&=-tfrac 4}3}}-sqrt -pi }}&-approx 2.363271801207---Gamma (-1/2)&=-2-sqrt -pi }}&-approx ...

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Gamma function 1 相關參考資料
gamma function | Properties, Examples, & Equation | Britannica

https://www.britannica.com

Γ函數

定義 — Γ 函數嘅定義係:. Γ ( z ) = ∫ 0 ∞ e − t t z − 1 d t ( t > 0 ) -displaystyle -Gamma (z)=-int _0}^-infty }e^-t}t^z-1}-mathrm d} t-quad (t>0)} ...

https://zh-yue.wikipedia.org

Gamma function - Wikipedia

Euler's definition as an infinite product — In mathematics, the gamma function is one commonly used extension of the factorial function to complex numbers.

https://en.wikipedia.org

Particular values of the gamma function - Wikipedia

Integers and half-integers — The gamma function is an important special function in mathematics. Its particular values can be expressed in closed form for integer ...

https://en.wikipedia.org

Reciprocal gamma function - Wikipedia

Infinite product expansion — Reciprocal gamma function 1/Γ(z) in the complex plane. The color of a point z encodes the value of 1/Γ(z).

https://en.wikipedia.org

Introduction to the Gamma Function

由 P Sebah 著作 · 2002 · 被引用 45 次 — log(t) in (1). From this theorem, we see that the gamma function Γ(x) (or the Eulerian integral of the second kind) is well defined and ...

https://www.csie.ntu.edu.tw

Γ函数- 维基百科,自由的百科全书

在Γ函數的記號上,是源自於勒讓德。 目录. 1 動機; 2 定義; 3 ...

https://zh.wikipedia.org

Gamma Function -- from Wolfram MathWorld

由 EW Weisstein 著作 · 2002 · 被引用 77 次 — Gamma Function · The (complete) gamma function Gamma(n) · It is analytic everywhere except at z=0 · or. Gamma(z)=int_0^1[ln(1/t)] · A beautiful relationship be...

https://mathworld.wolfram.com

displaystyle beginarray}lll}Gamma - Wikimedia

-displaystyle -beginarray}lll}-Gamma (-3/2)&=-tfrac 4}3}}-sqrt -pi }}&-approx 2.363271801207---Gamma (-1/2)&=-2-sqrt -pi }}&-approx ...

https://wikimedia.org