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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 615 - 625 (11page)
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In this paper, we discuss the connection between the 5-dimensional complex Lie algebra K5 and Special functions. We construct certain two variable models of the irreducible representations of K5 . We also use an Euler type integral transformation to obtain the new transformed models, in which the basis function appears as 2F1. Further, we utilize these models to get some generating functions and recurrence relations.
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참고문헌 (12)
참고문헌 신청
G. Gasper / 2004 / Basic hypergeometric series / Cambridge University Press
H. L. Manocha / 1989 / Lie algebras of difference-differential operators and Appell functions F1 / J. Math. Anal. Appl. 138:491~510
H. L. Manocha / 1990 / On models of irreducible unitary representations of compact Lie group SU(2) involving special functions / Indian J. pure Appl. Math. 21(12):1059~1071
W. Miller / 1968 / Lie theory and special functions / Academic Press
E. D. Rainville / 1960 / Special functions / Macmillan
H. L. Manocha / 1989 / Lie algebras of difference-differential operators and Appell functions F1 / J. Math. Anal. Appl. 138:491~510
H. L. Manocha / 1990 / On models of irreducible unitary representations of compact Lie group SU(2) involving special functions / Indian J. pure Appl. Math. 21(12):1059~1071
W. Miller / 1968 / Lie theory and special functions / Academic Press
E. D. Rainville / 1960 / Special functions / Macmillan
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