On models of irreducible q- representations of sl(2, c)

References

• Ararwal , A.K. , KALNINS , E.G. and MILLER , W. 1987 . Canonical equations and symmetry techniques for (I-series, SI AM J . J. Math. Anal , 18 : 1519 – 1537 .
   Google Scholar
• Al-bassam , M.A. and MANOCHA , H.L. 1987 . Lie theory of solutions of certain difFerintegral equations . SIAM J. Math. Anal , 18 : 1087 – 1100 .
   Google Scholar
• Al-bassam , M.A. 1961 . Some properties of Holmgren-Riesz transform . Ann. Scuola, Norm. Sup , 15 : 1 – 24 .
   Google Scholar
• Al-salam , W.A. and VERM , A. 1975 . A, a fractional Liebniz g-formula . Pacific Journal of mathematics , 60 : 1 – 9 .
   Google Scholar
• Grunwald , A.K. 1867 . Uber begrentze Derivationon and deren Anwendung . Z. Angew. Math. Phys , 12 : 441 – 480 .
   Google Scholar
• Michio , Jimbo . 1985 . A g-difference analogue of U(g) and the Yang-Baxter equation . Letters in Math. Phys , 10 : 63 – 69 .
   Google Scholar
• Kalnins , E.G. , MANOCHA , H.L. and MILLER , W. 1982 . Harmonic analysis and expansion formulas for two-variable hypergeometric functions . Stud. Appl. Math , 66 : 69 – 89 .
   Google Scholar
• Koornwinder , T.H. 1988 . Representations of twisted SU(2) quantum group and some g-hypergeometric orthogonal polynomials . CWI Rep. PM-R8809 , 66
   Google Scholar
• Kulish , R.P. and RESHETIKHIN , H. 1983 . Russian original Zapiski nauch, semin . J. Soviet Math , 23 : 101 – 112 .
   Google Scholar
• Manocha , H.L. and SHARMA , B.L. 1974 . Fractional derivatives and summation . J. Indian Math. Soc , 38 : 371 – 382 .
   Google Scholar
• Masuda , T. , MIMACHI , K. , NIKAGAMI , Y. and UENO , K. 1988 . Representations of quantum groups and q-analogue of orthogonal polynomials . C. R. Acad. Sci. Paris , 307 : 559 – 564 .
   Google Scholar
• Miller , W. 1968 . Lie Theory and Special Functions , New York : Academic Press .
   Google Scholar
• Miller , W. 1970 . Lie theory and I-difference equations . SIAM J. Math. Anal , 1 : 171 – 188 .
   Google Scholar
• Osler , T.J. 1971 . Fractional derivatives and Leibniz rule . Amer. Math , 78 : 645 – 649 .
   Web of Science ®Google Scholar
• Srivastava , H.M. and MANOCHA , H.L. 1984 . A Treatise on Generating Functions, Ellis Horowood Ltd , Chichester : Halsted Press, John Wiley .
   Google Scholar
• Weisner , L. 1955 . Group-theoretic origin of certain generating functions . Pacific J. Math , 5 : 1083 – 1089 .
   Google Scholar