Representation of Bessel functions by the Maslov canonical operator
S. Yu. Dobrokhotov, D. S. Minenkov, В. Е. Назайкинский
Abstract
Abstract We illustrate the construction and application of the Maslov canonical operator with examples of Bessel functions. For real values of the argument, we derive representations of these functions in terms of a canonical operator and, as a consequence, obtain the well-known asymptotics.
Topics & Concepts
Bessel functionOperator (biology)MathematicsRepresentation (politics)Canonical formPure mathematicsAlgebra over a fieldMathematical analysisTranscription factorBiochemistryChemistryRepressorPoliticsPolitical scienceGeneLawQuantum chaos and dynamical systemsSpectral Theory in Mathematical Physicsadvanced mathematical theories