Weber-Schafheitlin integrals with arbitrary exponent
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🧮 math.CA
math-phmath.FAmath.MP
keywords
integralsweber-schafheitlinexplicitexponentformulaetypeaharanovarbitrary
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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 Aharanov and Bohm. In particular, we derive explicit formulae for Weber-Schafheitlin type integrals with exponent larger or equal 1, which are distributions on R_+. We discuss several special cases.
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