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Research Articles

Asymptotic expansions of Kummer hypergeometric functions for large values of the parameters

Pages 16-31 | Received 31 Jan 2021, Accepted 02 Feb 2021, Published online: 23 Feb 2021

References

  • Olde Daalhuis AB. Confluent hypergeometric functions. In: NIST handbook of mathematical functions. Cambridge: Cambridge University Press; 2010. Chapter 13; p. 321–349. http://dlmf.nist.gov/13.
  • Temme NM. Asymptotic methods for integrals. Hackensack: World Scientific Publishing; 2015. (Series in Analysis; vol. 6).
  • Corless RM, Gonnet GH, Hare DEG, et al. On the Lambert W function. Adv Comput Math. 1996;5(4):329–359.
  • Temme NM. Laplace type integrals: transformation to standard form and uniform asymptotic expansions. Quart Appl Math. 1985;43(1):103–123.

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