Why the Fox H function is different?

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Thank you in advance for your time and help. I am new with Fox H function. Allow me to ask some questions.

  1. why the definition is different between wiki and mathworld ? The links are below. You can see that the + and - sign are different in the gamma functions. wiki: https://en.wikipedia.org/wiki/Fox_H-function mathworld: http://mathworld.wolfram.com/FoxH-Function.html

  2. I do need to understand the meaning of the integration area, is there an example I can see? Thank you.