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Jun 2, 2017 at 20:28 comment added Tom Copeland The extension of the Euler integral to Re(z) < 0 is an example of analytic continuation of a function analytic and therefore continuous and smooth in some domain to a larger domain. The extension of values at discrete points to a continuum is an example of interpolation, as in the MSE answer and links which is the thrust of my earlier comment.
Jun 2, 2017 at 20:06 comment added SF. @TomCopeland: Analytic continuation? Where? Analytic continuation is a whole large class or problems which fall under the titular question, gamma is just one common example.
Jun 2, 2017 at 18:17 comment added Tom Copeland Already mentioned in the comments to the question. For development see math.stackexchange.com/questions/1537/…
Jun 2, 2017 at 13:36 history edited SF. CC BY-SA 3.0
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Jun 2, 2017 at 13:19 comment added Amir Sagiv Hi, welcome to MO. Can you add more details about your answer?
Jun 2, 2017 at 13:13 review First posts
Jun 2, 2017 at 13:20
S Jun 2, 2017 at 13:09 history answered SF. CC BY-SA 3.0
S Jun 2, 2017 at 13:09 history made wiki Post Made Community Wiki by SF.