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On the incomplete gamma function and the neutrix convolution. (English) Zbl 1052.33001
Summary: The incomplete Gamma function $$\gamma (ab, x)$$ and its associated functions $$\gamma (ab, x_+)$$ and $$\gamma (ab, x_-)$$ are defined as locally summable functions on the real line and some convolutions and neutrix convolutions of these functions and the functions $$x^r$$ and $$x_-^r$$ are then found.

##### MSC:
 33B10 Exponential and trigonometric functions 46F10 Operations with distributions and generalized functions
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