Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ANOTHER METHOD FOR A KUMMER-TYPE TRANSFORMATION FOR A 2F2 HYPERGEOMETRIC FUNCTION

  • Published : 2007.07.31
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Abstract

Very recently, by employing an addition theorem for the con-fluent hypergeometric function, Paris has obtained a Kummer-type trans-formation for a $_2F_2(x)$ hypergeometric function with general parameters in the form of a sum of $_2F_2(-x)$ functions. The aim of this note is to derive his result without using the addition theorem.

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References

  1. R. B. Paris, A Kummer-type transformation for $\alpha_{2}F_{2}$ hypergeometric function, J. Comput. Appl. Math. 173 (2005), 379-382 https://doi.org/10.1016/j.cam.2004.05.005
  2. L. J. Slater, Confluent Hypergeometric Functions, Cambridge University Press, Cambridge, 1960
  3. L. J. Slater, neralized Hypergeometric Functions, Cambridge University Press, Cambridge, 1966