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Since the questioner mentioned the application of the gamma function, let me give two classic cases in mathematics where the gamma function is used to express general conclusions when taking any integer greater than or equal to 2. In the gamma distribution: the gamma distribution when k = n (positive integer) can be regarded as the sum of n independent gamma distributions (i.e. exponential distribution) with k = 1. According to the central limit theorem, the sum of independent and identically distributed random variables tends to a normal distribution. Gamma also supports custom template functions, which means you can configure templates commonly used in your work and quickly create content with gamma. This is still very helpful for users with advanced needs.
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