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Zh. Vychisl. Mat. Mat. Fiz., 2004, Volume 44, Number 7, Pages 1164–1186 (Mi zvmmf804)  

This article is cited in 6 scientific papers (total in 6 papers)

Methods of analytical continuation of the generalized hypergeometric functions $ _pF_{p-1}(a_1,…,a_p;b_1,…,b_{p-1};z)$

S. L. Skorokhodov

Dorodnitsyn Computing Centre of the Russian Academy of Sciences

Full text: PDF file (3083 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2004, 44:7, 1102–1123

Bibliographic databases:
UDC: 519.6:517.588
MSC: Primary 33C20; Secondary 33C70, 41A21, 11B37
Received: 05.01.2004

Citation: S. L. Skorokhodov, “Methods of analytical continuation of the generalized hypergeometric functions $ _pF_{p-1}(a_1,…,a_p;b_1,…,b_{p-1};z)$”, Zh. Vychisl. Mat. Mat. Fiz., 44:7 (2004), 1164–1186; Comput. Math. Math. Phys., 44:7 (2004), 1102–1123

Citation in format AMSBIB
\Bibitem{Sko04}
\by S.~L.~Skorokhodov
\paper Methods of analytical continuation of the generalized hypergeometric functions ${}_pF_{p-1}(a_1,\dots,a_p;b_1,\dots,b_{p-1};z)$
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2004
\vol 44
\issue 7
\pages 1164--1186
\mathnet{http://mi.mathnet.ru/zvmmf804}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2124522}
\zmath{https://zbmath.org/?q=an:1089.33004}
\transl
\jour Comput. Math. Math. Phys.
\yr 2004
\vol 44
\issue 7
\pages 1102--1123


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. S. L. Skorokhodov, “A method for computing the generalized hypergeometric function $ _pF_{p-1}(a_1,…,a_p;b_1,…,b_{p-1};1)$ in terms of the riemann zeta function”, Comput. Math. Math. Phys., 45:4 (2005), 550–562  mathnet  mathscinet  zmath  elib  elib
    2. A. I. Bogolyubskii, S. L. Skorokhodov, D. V. Khristoforov, “Fast computation of elliptic integrals and their generalizations”, Comput. Math. Math. Phys., 45:11 (2005), 1864–1878  mathnet  mathscinet  zmath  elib  elib
    3. Kalmykov M.Y., “Gauss hypergeometric function: reduction, epsilon-expansion for integer/half-integer parameters and Feynman diagrams”, Journal of High Energy Physics, 2006, no. 4, 056  crossref  mathscinet  isi  scopus
    4. M. M. Kabardov, V. M. Ryabov, “Acceleration of the convergence of the Laguerre series in the problem of inverting the Laplace transform”, Comput. Math. Math. Phys., 49:4 (2009), 579–588  mathnet  crossref  mathscinet  zmath  isi
    5. Kabardov M.M., “Ob analiticheskom prodolzhenii gipergeometricheskogo ryada preobrazovaniem Eilera–Knoppa”, Vestn. Sankt-Peterburgskogo un-ta. Ser. 1: Matem., Mekh., Astronom., 2009, no. 3, 24–30  mathscinet  zmath
    6. Gonzalez I., Moll V.H., Straub A., “The method of brackets. Part 2: examples and applications”, Gems in Experimental Mathematics, Contemporary Mathematics, 517, 2010, 157–171  crossref  mathscinet  zmath  isi
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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