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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.23 No.1
- 발행연도
- 2018.3
- 수록면
- 167 - 179 (13page)
- DOI
- 10.22771/nfaa.2018.23.01.13
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초록· 키워드
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In a representation space of the proper Lorentz group, we consider the so-called spherical and two parabolic bases and compute the matrix elements of restriction of the representation to matrix diag(1, 1, 1, -1) with respect to one of the above parabolic basis in the following three particular cases: matrix elements belong to ‘zero row’; lie on the ‘main diagonal’; lie on the ‘anti-diagonal’. Taking the relations between above bases, we give a group theoretical treatment of one known formula and derive two new formulas for series involving modified hyper-Bessel functions of the first kind, which converge to products of (usual) cylinder functions. Some results here are pointed out to be able to be rewritten in terms of Bessel-Clifford functions.
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참고문헌 (30)
참고문헌 신청
M. Abramowitz / 1954 / Coloumb wave functions expressed in terms of Bessel-Clifford functions / J. Math. Phys 33:111~116
H. Chaggara / 2015 / On the zeros of the hyper-Bessel function / Integral Transforms Spec. Funct 26(2):96~101
M.A. Chaudhry / 2002 / Extended incomplete gamma functions with applica-tions / J. Math. Anal. Appl 274(2):725~745
최준상 / 2017 / A family of series and integrals involving Whittaker, Bessel functions, and their products derivable from the representation of the group SO(2,1) / 대한수학회논문집 32(4):999~1008
W.K. Clifford / 1882 / On Bessel's functions, In Mathematical Papers / Oxford University Press :346~349
H. Chaggara / 2015 / On the zeros of the hyper-Bessel function / Integral Transforms Spec. Funct 26(2):96~101
M.A. Chaudhry / 2002 / Extended incomplete gamma functions with applica-tions / J. Math. Anal. Appl 274(2):725~745
최준상 / 2017 / A family of series and integrals involving Whittaker, Bessel functions, and their products derivable from the representation of the group SO(2,1) / 대한수학회논문집 32(4):999~1008
W.K. Clifford / 1882 / On Bessel's functions, In Mathematical Papers / Oxford University Press :346~349
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