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The neutrix limit of the -Gamma function and its derivatives

✍ Scribed by Ahmed Salem

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
286 KB
Volume
23
Category
Article
ISSN
0893-9659

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✦ Synopsis

The q-analogue of the gamma function Ξ“ q (x) is defined for x > 0, 0 < q < 1. In this work the neutrix and neutrix limit are used to define the q-analogue of the gamma function and its derivatives for zero and negative integer values of x. We prove that the neutrix limit of the q-Gamma function and its derivatives exist for all values of x.

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