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On generating functions

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Il Nuovo Cimento B (1971-1996)

Summary

We present an algebraic method to obtain expansions and generating functions for the product of two hypergeometric functions. Applications are discussed.

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References

  1. F. Brafman:Proc. Am. Math. Soc.,2, 942 (1951);Can. J. Math.,5, 301 (1953);Mich. Math. J.,1, 131 (1952);Q. J. Math., Oxford 2nd series,8, 81 (1957);Pac. J. Math.,7, 1319 (1957).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. A. Ossicini:Boll. Unione Mat. Ital.,3, 315 (1952).

    MathSciNet  Google Scholar 

  3. L. Toscano:Boll. Unione Mat. Ital.,2, 144 (1950).

    MathSciNet  Google Scholar 

  4. W. Miller jr.:Lie Theory and Special Functions, Math. Sci. Eng.,43 (1968).

  5. F. Ciocci, G. Dattoli, A. Dipace andA. Torre:Nuovo Cimento B,90, 138 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  6. E. Montaldi andG. Zucchelli:Nuovo Cimento B,102, 229 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  7. E. Capelas de Oliveira:New sum rules of special function, to be published.

  8. E. Capelas de Oliveira:On the symmetrical top, to appear inInt. J. Math. Educ. Sci. Technol. (1990).

  9. E. Capelas de Oliveira:On Jacobi Expansion, RT 02/90 IMECC-UNICAMP;On Kummer Expansion, RT 07/90 IMECC-UNICAMP.

  10. W. Magnus, F. Oberhettinger andR. P. Soni:Formulas and Theorems for the Special Functions of Mathematical Physics, 3rd edition (New York, N.Y., 1966).

  11. L. Weisner:Pac. J. Math.,4 (supp. 2), 1033 (1955).

    Article  MathSciNet  Google Scholar 

  12. E. Feldhein:Acta Math.,75, 117 (1943).

    Article  MathSciNet  Google Scholar 

  13. G. N. Watson:J. Lond. Math. Soc.,8, 289 (1931).

    Google Scholar 

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Capelas de Oliveira, E. On generating functions. Nuov Cim B 107, 59–64 (1992). https://doi.org/10.1007/BF02726884

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  • DOI: https://doi.org/10.1007/BF02726884

PACS 02.30

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