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Research Articles

On some formulas for the Horn function H7(a, b, b′; c; w, z)

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Pages 889-907 | Received 22 Feb 2022, Accepted 17 Mar 2022, Published online: 05 Apr 2022

References

  • Erdélyi A, Magnus W, Oberhettinger F, et al. Higher transcendental functions. Vol. 1. New York: McGraw-Hill; 1953.
  • Available from: https://mathworld.wolfram.com/HornFunction.html.
  • Srivastava HM, Karlsson PW. Multiple Gaussian hypergeometric series. Chichester: Ellis Horwood; 1985.
  • Brychkov YuA, Savischenko NV. On some formulas for the Horn functions H6(a,b,b′;w,z) and H8(c)(a,b;w,z). Integral Transforms Spec Funct. 2021. https://doi.org/10.1080/10652469.2021.2017427.
  • Hansen ER. A table of series and products. New Jersey: Prentice Hall; 1975.
  • Brychkov YuA, Saad N. On some formulas for the Appell function F2(a,b,b′;c,c′;w,z). Integral Transforms Spec Funct. 2014;25(2):111–123.
  • Vu Kim Tuan, Kalla SL. Some transformations and integral representations of the Horn's functions. Rev Téc Ing Univ Zulia. 1987;10(1):81–94.
  • Prudnikov AP, Brychkov YuA, Marichev OI. Integrals and series. Vol. 3. More special functions. New York–London: Gordon and Breach; 1990.
  • Brychkov YuA. Handbook of special functions: derivatives, integrals, series and other formulas. Boca Raton (FL): Chapman & Hall/CRC; 2008.
  • Prudnikov AP, Brychkov YuA, Marichev OI. Integrals and Series. Vol. 2. Special functions. New York–London: Gordon and Breach; 1986.
  • Erdélyi A, Magnus W, Oberhettinger F, et al. Higher transcendental functions. Vol. 2. New York, Toronto and London: McGraw-Hill Book Company; 1953.

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