Normal Ordering and Bessel Numbers with Integral Operators
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We derive a normal ordering formula for the operator ((xI)^n), where (I) denotes the Volterra operator. The resulting coefficients are shown to coincide with the Bessel numbers. We also present two applications, along with a generalization of the main result.
💡 Research Summary
The paper investigates the normal ordering of the operator ((xI)^n) where (I) denotes the Volterra integral operator (I
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