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On Kummer expansions

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Il Nuovo Cimento B (1971-1996)

Summary

We present a new expansion for the product of two confluent hypergeometric functions with different arguments using the expansion for the generalized Laguerre polynomials. Applications are discussed.

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References

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

    Article  MathSciNet  ADS  Google Scholar 

  2. E. Capelas de Oliveira:Nuovo Cimento B,104, 701 (1989).

    Article  ADS  Google Scholar 

  3. F. J. Bellandi andE. Capelas de Oliveira:J. Phys. A.,15, L447 (1982).

    Article  ADS  Google Scholar 

  4. P. M. Morse andH. Feshbach:Methods of Theoretical Physics (McGraw-Hill Book Company Inc., New York, N. Y., 1953).

    Google Scholar 

  5. Miller jr.:Lie Theory and Special Functions (Academic Press, New York, N. Y., 1968).

    MATH  Google Scholar 

  6. E. Capelas de Oliveira:On Jacobi Expansion, RT, 02/90, IMECC-UNICAMP.

  7. H. Buchholz:Confluent Hypergeometric Functions (Springer-Verlag, New York, N. Y., 1969).

    Book  Google Scholar 

  8. W. Magnus, F. Oberhettinger andR. P. Soni:Formulas and Theorems for the Special Functions of Mathematical Physics (Springer-Verlag, New York, N. Y., 1966).

    Book  MATH  Google Scholar 

  9. I. S. Gradshteyn andI. M. Ryshik:Table of Integral, Series and Products (Academic Press, New York, N. Y., 1980).

    Google Scholar 

  10. E. D. Rainville:Special Functions (The MacMillan Company, New York, N. Y., 1960).

    Google Scholar 

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Capelas de Oliveira, E. On Kummer expansions. Nuov Cim B 106, 195–198 (1991). https://doi.org/10.1007/BF02827334

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  • DOI: https://doi.org/10.1007/BF02827334

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