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Integral Transforms and Special Functions Volume 34, 2023 - Issue 12
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Research Articles

On some formulas for the confluent Horn functions H10(c) (a; c; w, z) and H11(c) (a, c, c′; d; w, z)

Yu A. Brychkova Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia
&
N. V. Savischenkob Department of General Professional Disciplines, Military Telecommunications Academy, Saint-Petersburg, RussiaCorrespondence[email protected]
Pages 915-930 | Received 21 Feb 2023, Accepted 13 Jul 2023, Published online: 07 Aug 2023

References

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  • Brychkov YA, Savischenko NV. On some formulas for the Horn functions H5(a,b;c;w,z) and H5(c)(a;c;w,z). Integral Transforms Spec Funct. 2022;33(5):373–387. doi: 10.1080/10652469.2021.1938026
  • Brychkov YA, Savischenko NV. On some formulas for the Horn function H7(a,b,b′;c;w,z). Integral Transforms Spec Funct. 2022;33(11):889–907. doi: 10.1080/10652469.2022.2056600
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  • Hansen ER. A table of series and products. New Jersey: Prentice Hall; 1975.
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  • Brychkov YA. Handbook of special functions: derivatives, integrals, series and other formulas. Boca Raton (FL): Chapman & Hall/CRC; 2008.
  • Brychkov YA, Kim YS, Rathie AK. On new reduction formulas for the Humbert functions Ψ2, Φ2 and Φ3. Integral Transforms Spec Functions. 2017;28(5):350–360. doi: 10.1080/10652469.2017.1297438

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