The Rogers-Ramanujan identities can be stated either analytically or combinatorially. Each viewpoint has led to its own generalizations. On the analytic side, there is the work of Watson, Bailey, Slater, Singh, Andrews and others. On the combinatorial side is the work of Schur, …
The Rogers-Ramanujan identities can be stated either analytically or combinatorially. Each viewpoint has led to its own generalizations. On the analytic side, there is the work of Watson, Bailey, Slater, Singh, Andrews and others. On the combinatorial side is the work of Schur, …
The Rogers-Ramanujan identities can be stated either analytically or combinatorially. Each viewpoint has led to its own generalizations. On the analytic side, there is the work of Watson, Bailey, Slater, Singh, Andrews and others. On the combinatorial side is the work of Schur, …
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) :…
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…
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)
