Comment on the orthogonality of the Macdonald functions of imaginary order |
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Authors: | Rados?aw Szmytkowski Sebastian Bielski |
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Institution: | Atomic Physics Division, Department of Atomic Physics and Luminescence, Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, Narutowicza 11/12, PL 80-233 Gdańsk, Poland |
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Abstract: | Recently, Yakubovich Opuscula Math. 26 (2006) 161-172] and Passian et al. J. Math. Anal. Appl. 360 (2009) 380-390] have presented alternative proofs of an orthogonality relation obeyed by the Macdonald functions of imaginary order. In this note, we show that the validity of that relation may be also proven in a simpler way by applying a technique occasionally used in mathematical physics to normalize scattering wave functions to the Dirac delta distribution. |
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Keywords: | Macdonald functions Orthogonal functions Dirac delta distribution |
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