global characterization of hypergeometric function
Riemann noted that the hypergeometric function can be characterized by its global properties, without reference to power series, differential equations, or any other sort of explicit expression. His characterization is conveniently restated in terms of sheaves:
It is closed under taking linear combinations.
There exists a neighborhood such that , holomorphic functions defined on , and complex numbers such that, for an open set of not containing , it happens that and belong to our sheaf.
|Title||global characterization of hypergeometric function|
|Date of creation||2014-12-31 15:15:16|
|Last modified on||2014-12-31 15:15:16|
|Last modified by||rspuzio (6075)|