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Infinitely many shape invariant potentials and cubic identities of the Laguerre and Jacobi polynomials
invariant potentials Jacobi polynomials cubic identities
2010/4/8
We provide analytic proofs for the shape invariance of the recently discovered (Odake and Sasaki, Phys. Lett. B679 (2009) 414-417) two families of infinitely many exactly solvable one-dimensional quan...
A Probabilistic Proof of the Rogers Ramanujan Identities
A Probabilistic Proof Rogers Ramanujan Identities
2010/10/29
The asymptotic probability theory of conjugacy classes of the finite general linear and unitary groups leads to a probability measure on the set of all partitions of natural numbers. A simple method o...