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Research Articles

On some formulas for the Horn functions H5(a, b; c;w, z) and (a; c;w, z)

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Pages 373-387 | Received 06 May 2021, Accepted 31 May 2021, Published online: 10 Jun 2021

References

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  • Brychkov YuA, Savischenko NV. On some formulas for the Horn functions H4(a,b;c,c′;w,z) and H7(c)(a;c,c′;w,z). Integral Transforms Spec Funct. 2020.
  • Prudnikov AP, Brychkov YuA, Marichev OI. Integrals and series. Vol. 3. More special functions. New York: Gordon and Breach; 1990.
  • Hansen ER. A table of series and products. New Jersey: Prentice Hall; 1975.
  • Watson GN. A treatise on the theory of Bessel functions. 2nd ed. Cambridge University Press; 1966.
  • Kapilevich MB. On the confluent hypergeometric functions of Humbert and Horn. Dokl Akad Nauk. 1966;170(6):1251–1254.
  • Prudnikov AP, Brychkov YuA, Marichev OI. Integrals and series. Vol. 2. Special functions. New York: Gordon and Breach; 1986.
  • Brychkov YuA. Expansions of special functions in series of classical orthogonal polynomials. Tables of formulas. Computing Center RAN; 2010. Available from: https://www.researchgate.net/publication/283292651.

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