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Some Formulas for Ordinary and Hyper Bessel–Clifford Functions Related to the Proper Lorentz Group

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Abstract

In this paper, we show that the matrix elements of some Lorentz group representation operators and bases transform operators acting in the representation space may be expressed in terms of the modified Bessel–Clifford functions and their multi-index analogs introduced by the authors via Delerue hyper Bessel functions.

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Authors and Affiliations

  1. National Research University MPEI, Moscow, Russia

    I. A. Shilin

  2. Moscow Pedagogical State University, Moscow, Russia

    I. A. Shilin

  3. Dongguk University, Gyeongju, Republic of Korea

    J. Choi

Authors
  1. I. A. Shilin
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  2. J. Choi
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Correspondence to I. A. Shilin.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 22, No. 5, pp. 195–208, 2019.

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Shilin, I.A., Choi, J. Some Formulas for Ordinary and Hyper Bessel–Clifford Functions Related to the Proper Lorentz Group. J Math Sci 259, 518–527 (2021). https://doi.org/10.1007/s10958-021-05644-4

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  • DOI: https://doi.org/10.1007/s10958-021-05644-4

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