How to get a general expression here ?

f(s) is the function value expressed as a integral around s (singularity) of a complex function.


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(1) |
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f(s) = int(f(z)/(z - s), z)/((2*Pi)*I):
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(2) |


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(3) |




.......

quote : "Important consequence.
Above it actually says: "If there is a function f(s) that is somewhere analytic, then you can use such an integral as above to make a new function f '(s), which is also analytic there. And from that a new function f '' and so on.
That means something revolutionary for complex numbers: "
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Question: how to get the ?
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Note : again the form of the answers in Maple : Its not possible to force Maple to come up with this form of answer, ex

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Download Maple_primes_bvraag_hoger_orde_singulariteit_henk_hofstede.mw