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Approximate inverse of $[\Gamma (1+x)]^a=y \,\Gamma (1+ax)$

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#taylor-expansion #approximation #gamma-function #inverse-function
42
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Deriving volume of an n-ball given the expression for n-1 ball

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#volume #gamma-function #derivation-of-formulae
50
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Gamma function for $\int_{0}^{\infty}x^{n/2-2}e^{-x}dx$

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#calculus #integration #definite-integrals #exponential-function #gamma-function
117
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Integration of $\int_{-\infty}^{\infty} \frac{e^{ax-be^x}}{c^2+x^2} dx$

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#integration #definite-integrals #exponential-function #gamma-function
278
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Asymptotic expansion of the gamma function with imaginary value

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#asymptotics #special-functions #gamma-function
137
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Is the sinc function related to the Gamma function?

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#trigonometry #special-functions #factorial #gamma-function #desmos
57
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How to solve an equation involving gamma and incomplete gamma function

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#gamma-function
170
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How to approximate Gamma Function when inputting decimals?

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#approximation #gamma-function
141
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Should I call this distribution a Beta distribution?

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#probability-distributions #special-functions #gamma-function #beta-function #gamma-distribution
117
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A simple upper bound for the Gamma function of a product

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#real-analysis #partial-differential-equations #gamma-function #upper-lower-bounds
51
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Show an integral inequality involving the golden ratio, $\zeta(2)$ and the gamma function.

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#inequality #improper-integrals #gamma-function #constants
284
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Euler-Mascheroni Constant and the Digamma Function

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#real-analysis #convergence-divergence #proof-writing #gamma-function #euler-mascheroni-constant
53
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Find $a$ such that the limit is zero

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#limits #convergence-divergence #closed-form #gamma-function
1.6k
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Conjecture: $\lim\limits_{x\to 0}(x!\,x!!\,x!!!\,x!!!!\cdots )^{-1/x}\stackrel?=e$

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#limits #gamma-function #constants
152
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Yet another integral identity involving a Bessel function and incomplete gamma functions.

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#definite-integrals #gamma-function #bessel-functions #error-function

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