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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Gamma function is an important special function in mathematics. Its particular values can be expressed in closed form for integer and half-integer arguments, but no simple expressions are known for the values at rational points in general. Other fractional arguments can be approximated though efficient infinite products, infinite series, and recurrence relations.For non-positive integers, the Gamma function is not defined.