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math-ph2010★ 40 cited
Exactly solvable Schrödinger operators
Jan Dereziński, Michał Wrochna
We systematically describe and classify 1-dimensional Schrödinger equations that can be solved in terms of hypergeometric type functions. Beside the well-known families, we explici…
math.CA2010★ 1 cited
Weber-Schafheitlin integrals with arbitrary exponent
Michał Wrochna
We present explicit formulae for Weber-Schafheitlin type integrals and give them an interpretation as the kernel of a physically relevant operator related to the hamiltonian of Aha…