Monogenic Function
المؤلف:
Newman, J. R.
المصدر:
The World of Mathematics, Vol. 3. New York: Dover
الجزء والصفحة:
p. 2003
18-10-2018
1510
Monogenic Function
If
is the same for all paths in the complex plane, then 
is said to be monogenic at 
. Monogenic therefore essentially means having a single derivative at a point. Functions are either monogenic or have infinitely many derivatives (in which case they are called polygenic); intermediate cases are not possible.
REFERENCES:
Newman, J. R. The World of Mathematics, Vol. 3. New York: Dover, p. 2003, 2000.
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