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Russian Mathematical Surveys, 2002, Volume 57, Issue 4, Pages 824–826
DOI: https://doi.org/10.1070/RM2002v057n04ABEH000542
(Mi rm542)
 

This article is cited in 13 scientific papers (total in 13 papers)

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society

Very well-poised hypergeometric series and multiple integrals

W. V. Zudilin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Accepted: 03.06.2002
Bibliographic databases:
Document Type: Article
MSC: Primary 33C20, 33C60; Secondary 11J82
Language: English
Original paper language: Russian
Citation: W. V. Zudilin, “Very well-poised hypergeometric series and multiple integrals”, Russian Math. Surveys, 57:4 (2002), 824–826
Citation in format AMSBIB
\Bibitem{Zud02}
\by W.~V.~Zudilin
\paper Very well-poised hypergeometric series and multiple integrals
\jour Russian Math. Surveys
\yr 2002
\vol 57
\issue 4
\pages 824--826
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\crossref{https://doi.org/10.1070/RM2002v057n04ABEH000542}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1941802}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2002RuMaS..57..824Z}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0036664257}
Linking options:
  • https://www.mathnet.ru/eng/rm542
  • https://doi.org/10.1070/RM2002v057n04ABEH000542
  • https://www.mathnet.ru/eng/rm/v57/i4/p177
  • This publication is cited in the following 13 articles:
    1. Srivastava H.M., Vyas Ya., Fatawat K., “Extensions of the Classical Theorems For Very Well-Poised Hypergeometric Functions”, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 113:2 (2019), 367–397  crossref  mathscinet  isi
    2. Zhou Ya., “on Laporta'S 4-Loop Sunrise Formulae”, Ramanujan J., 50:3 (2019), 465–503  crossref  mathscinet  isi
    3. Jonathan M. Borwein, Armin Straub, James Wan, “Three-Step and Four-Step Random Walk Integrals”, Experimental Mathematics, 22:1 (2013), 1  crossref  mathscinet  isi  scopus  scopus
    4. W. Zudilin, “Arithmetic hypergeometric series”, Russian Math. Surveys, 66:2 (2011), 369–420  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    5. James G. Wan, “Moments of products of elliptic integrals”, Advances in Applied Mathematics, 2011  crossref  mathscinet  isi  scopus  scopus
    6. S M Radošević, M R Pantić, D V Kapor, M V Pavkov-Hrvojević, M G Škrinjar, “Evaluation of Watson-like integrals for a hyper bcc antiferromagnetic lattice”, J Phys A Math Theor, 43:15 (2010), 155206  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    7. Kalmykov M.Yu., Warda B.F.L., Yost S.A., “Multiple (inverse) binomial sums of arbitrary weight and depth and the all-order epsilon-expansion of generalized hypergeometric functions with one half-integer value of parameter”, Journal of High Energy Physics, 2007, no. 10, 048  crossref  mathscinet  isi  scopus  scopus
    8. S. A. Zlobin, “Properties of coefficients of certain linear forms in generalized polylogarithms”, J. Math. Sci., 146:2 (2007), 5655–5668  mathnet  crossref  mathscinet  zmath  elib
    9. S. A. Zlobin, “Expansion of Multiple Integrals in Linear Forms”, Math. Notes, 77:5 (2005), 630–652  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    10. S. A. Zlobin, “Decompositions of multiple integrals into linear forms”, Dokl. Math., 70:2 (2004), 758–761  mathnet  mathscinet  isi  elib
    11. Zudilin W., “Well-poised hypergeometric transformations of Euler-type multiple integrals”, J. London Math. Soc. (2), 70:1 (2004), 215–230  crossref  mathscinet  zmath  isi  scopus  scopus
    12. W. V. Zudilin, “Algebraic relations for multiple zeta values”, Russian Math. Surveys, 58:1 (2003), 1–29  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    13. W. V. Zudilin, “A Third-Order Apéry-Like Recursion for ζ(5)”, Math. Notes, 72:5 (2002), 733–737  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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