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Representations of a Lie Group G(0, 1) and Modified Laguerre Polynomials

M. A. Pathan|Subuhi Khan
경북대학교 자연과학대학 수학과|2004.03|Kyungpook Mathematical Journal|제44권 제1호|pp. 83-91

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Abstract

In this paper we follow the approach of Miller ([4]) and obtain generating relations of modied Laguerre polynomials by extending the realizations of"!; and #!;to multiplier representations of a Lie group G(0;1). Many results of Miller, McBride and Srivastava and Manocha follow as special cases of our results. Generating relations of modied Laguerre polynomials are of interest due to its connections and reductions to a number of other special functions which are well known.

참고문헌 (9)

  1. "Group-theoretic study of certain generatingfunctions involving modi？", pp.143~147 (1993)
  2. "Springer Tracts in Natural Philos-ophy" (1957), Springer-Verlag
  3. "Lie Theory and Special Functions", new york and london (1968)
  4. "Symmetry Groups and Their Applications", new yorkand london (1972)
  5. "Special linear group and modi？ed Laguerre functions", 40(1), pp.1~8 (2000)
  6. "Some generating functions of modi？", pp.126~130 (1990)
  7. "Group - theoretic origins of certain generating functions ofthe modi？", pp.512~521 (1986)
  8. "A Treatise on Generating Functions", chichester (1984)
  9. "Group-theoretic origin of certain generating functions", pp.1033~1039 (1955)

관련 논문AI추천

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