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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2019 Volume 22, Issue 5, Pages 195–208 (Mi fpm1848)

This article is cited in 5 papers

Some formulas for ordinary and hyper Bessel–Clifford functions related to the proper Lorentz group

I. Shilinab, J. Choic

a Moscow Pedagogical State University, Moscow, Russia
b National Research University MPEI, Moscow, Russia
c Dongguk University, Gyeongju, Republic of Korea

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.

UDC: 517.584+517.986.68


 English version:
Journal of Mathematical Sciences (New York), 2021, 259:4, 518–527


© Steklov Math. Inst. of RAS, 2026