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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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