Editing Pascal's triangle (section)

=== To complex numbers ===

When the factorial function is defined as <math>z! = \Gamma(z + 1)</math>, Pascal's triangle can be extended beyond the integers to <math>\Complex</math>, since <math>\Gamma(z + 1)</math> is [[Meromorphic function|meromorphic]] to the entire [[complex plane]].<ref>{{cite book
 | display-authors = etal
 | last = Hilton | first = P.
 | series = In International Series in Modern Applied Mathematics and Computer Science
 | pages = 100–102
 | title = Symmetry 2
 | chapter = Extending the binomial coefficients to preserve symmetry and pattern
 | publisher = Pergamon
 | year = 1989
 | doi = 10.1016/B978-0-08-037237-2.50013-1
 | isbn = 9780080372372 | chapter-url = https://www.sciencedirect.com/science/article/pii/B9780080372372500131
 }}.</ref>