There are various interesting stories about the hypergeometric differential equation E(a, b, c) : x(l - x)u" + {c - (a + b + l)x }u' - abu = D and its solution, the hypergeometric function. Among others, I love the following story: when (a, b, c) = (1/2,1/2,1), the ratio Ul(X) :…
by AMS Special Session on Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications, Tampa, Fla.), American Mathematical Society., Tampa, Fla.)
by Richards, Donald St. P., AMS Special Session on Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications, Tampa, Fla.)
fromContemporary mathematics (American Mathematical Society)
by Richards, Donald St. P., AMS Special Session on Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications, Tampa, Fla.)
fromContemporary mathematics (American Mathematical Society)
Riemann introduced the concept of a "local system" on P1-{a finite set of points} nearly 140 years ago. His idea was to studynth order linear differential equations by studying the ranknlocal systems (of local holomorphic solutions) to which they gave rise. His first application…
