Bezrodnykh, S. I. Analytic continuation of the Horn hypergeometric series with an arbitrary number of variables. (English) Zbl 1466.33007 Integral Transforms Spec. Funct. 31, No. 10, 788-803 (2020). MSC: 33C65 30B40 32D15 33C20 33C90 PDF BibTeX XML Cite \textit{S. I. Bezrodnykh}, Integral Transforms Spec. Funct. 31, No. 10, 788--803 (2020; Zbl 1466.33007) Full Text: DOI OpenURL
Chen, Shaoshi How to generate all possible rational Wilf-Zeilberger pairs? (English) Zbl 1443.05016 Fillion, Nicolas (ed.) et al., Algorithms and complexity in mathematics, epistemology, and science. Proceedings of 2015 and 2016 ACMES conferences, London, UK. Selected papers. New York, NY: Springer; Toronto: The Fields Institute for Research in the Mathematical Sciences. Fields Inst. Commun. 82, 17-34 (2019). MSC: 05A19 05A15 PDF BibTeX XML Cite \textit{S. Chen}, Fields Inst. Commun. 82, 17--34 (2019; Zbl 1443.05016) Full Text: DOI arXiv OpenURL
Chen, Shaoshi; Koutschan, Christoph Proof of the Wilf-Zeilberger conjecture for mixed hypergeometric terms. (English) Zbl 1423.33025 J. Symb. Comput. 93, 133-147 (2019). MSC: 33D05 PDF BibTeX XML Cite \textit{S. Chen} and \textit{C. Koutschan}, J. Symb. Comput. 93, 133--147 (2019; Zbl 1423.33025) Full Text: DOI arXiv OpenURL
Du, Hao; Li, Ziming The Ore-Sato theorem and shift exponents in the \(q\)-difference case. (English) Zbl 1408.33030 J. Syst. Sci. Complex. 32, No. 1, 271-286 (2019). MSC: 33D15 PDF BibTeX XML Cite \textit{H. Du} and \textit{Z. Li}, J. Syst. Sci. Complex. 32, No. 1, 271--286 (2019; Zbl 1408.33030) Full Text: DOI OpenURL
Bezrodnykh, S. I. Analytic continuation of the Lauricella function \(F^{(N)}_D\) with arbitrary number of variables. (English) Zbl 1384.33026 Integral Transforms Spec. Funct. 29, No. 1, 21-42 (2018). MSC: 33C65 30B40 33C90 PDF BibTeX XML Cite \textit{S. I. Bezrodnykh}, Integral Transforms Spec. Funct. 29, No. 1, 21--42 (2018; Zbl 1384.33026) Full Text: DOI OpenURL
Bezrodnykh, S. I. Analytic continuation of the Appell function \(F_1\) and integration of the associated system of equations in the logarithmic case. (English. Russian original) Zbl 1377.33010 Comput. Math. Math. Phys. 57, No. 4, 559-589 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 4, 555-587 (2017). MSC: 33C65 33C20 PDF BibTeX XML Cite \textit{S. I. Bezrodnykh}, Comput. Math. Math. Phys. 57, No. 4, 559--589 (2017; Zbl 1377.33010); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 4, 555--587 (2017) Full Text: DOI OpenURL
Chen, Shaoshi; Chyzak, Frédéric; Feng, Ruyong; Fu, Guofeng; Li, Ziming On the existence of telescopers for mixed hypergeometric terms. (English) Zbl 1303.33024 J. Symb. Comput. 68, Part 1, 1-26 (2015). MSC: 33F10 PDF BibTeX XML Cite \textit{S. Chen} et al., J. Symb. Comput. 68, Part 1, 1--26 (2015; Zbl 1303.33024) Full Text: DOI arXiv OpenURL
Hiroe, Kazuki Generalized Whittaker functions for degenerate principal series of \(\mathrm{GL}(n, \mathbb{R})\). (English) Zbl 1259.22011 Publ. Res. Inst. Math. Sci. 48, No. 4, 749-797 (2012). Reviewer: Ivan Matić (Osijek) MSC: 22E50 11F70 22E30 PDF BibTeX XML Cite \textit{K. Hiroe}, Publ. Res. Inst. Math. Sci. 48, No. 4, 749--797 (2012; Zbl 1259.22011) Full Text: DOI OpenURL
Abramov, S. A.; Petkovšek, M. Dimensions of solution spaces of \(H\)-systems. (English) Zbl 1186.33038 J. Symb. Comput. 43, No. 5, 377-394 (2008). MSC: 33F10 33C70 39A05 PDF BibTeX XML Cite \textit{S. A. Abramov} and \textit{M. Petkovšek}, J. Symb. Comput. 43, No. 5, 377--394 (2008; Zbl 1186.33038) Full Text: DOI OpenURL
Abramov, S. A.; Petkovšek, M. Solution spaces of \(H\)-systems and the Ore-Sato theorem (extended abstract). (English. Russian original) Zbl 1109.33301 Program. Comput. Softw. 32, No. 2, 118-119 (2006); translation from Programmirovanie 32, No. 2, 75-77 (2006). MSC: 33F10 PDF BibTeX XML Cite \textit{S. A. Abramov} and \textit{M. Petkovšek}, Program. Comput. Softw. 32, No. 2, 118--119 (2006; Zbl 1109.33301); translation from Programmirovanie 32, No. 2, 75--77 (2006) Full Text: DOI OpenURL
Chen, William Y. C.; Hou, Qing-Hu; Mu, Yan-Ping Applicability of the \(q\)-analogue of Zeilberger’s algorithm. (English) Zbl 1126.33008 J. Symb. Comput. 39, No. 2, 155-170 (2005). Reviewer: Carsten Schneider (Linz) MSC: 33F10 68W30 PDF BibTeX XML Cite \textit{W. Y. C. Chen} et al., J. Symb. Comput. 39, No. 2, 155--170 (2005; Zbl 1126.33008) Full Text: DOI arXiv OpenURL
Hou, Qing-Hu \(k\)-free recurrences of double hypergeometric terms. (English) Zbl 1057.33018 Adv. Appl. Math. 32, No. 3, 468-484 (2004). Reviewer: Axel Riese (Linz) MSC: 33F10 PDF BibTeX XML Cite \textit{Q.-H. Hou}, Adv. Appl. Math. 32, No. 3, 468--484 (2004; Zbl 1057.33018) Full Text: DOI OpenURL
Abramov, S. A. When does Zeilberger’s algorithm succeed? (English) Zbl 1030.33011 Adv. Appl. Math. 30, No. 3, 424-441 (2003). Reviewer: H.Benker (Merseburg) MSC: 33F10 PDF BibTeX XML Cite \textit{S. A. Abramov}, Adv. Appl. Math. 30, No. 3, 424--441 (2003; Zbl 1030.33011) Full Text: DOI OpenURL
Abramov, S. A.; Petkovšek, M. On the structure of multivariate hypergeometric terms. (English) Zbl 1057.33017 Adv. Appl. Math. 29, No. 3, 386-411 (2002). Reviewer: Hans Benker (Merseburg) MSC: 33F10 PDF BibTeX XML Cite \textit{S. A. Abramov} and \textit{M. Petkovšek}, Adv. Appl. Math. 29, No. 3, 386--411 (2002; Zbl 1057.33017) Full Text: DOI OpenURL
Debiard, Amédée; Gaveau, Bernard Hypergeometric symbolic calculus. I: Systems of two symbolic hypergeometric equations. (English) Zbl 1015.35023 Bull. Sci. Math. 126, No. 10, 773-829 (2002). Reviewer: Vladimir L.Makarov (Kyïv) MSC: 35C05 33C65 PDF BibTeX XML Cite \textit{A. Debiard} and \textit{B. Gaveau}, Bull. Sci. Math. 126, No. 10, 773--829 (2002; Zbl 1015.35023) Full Text: DOI OpenURL
Gabber, Ofer; Loeser, François \(\ell\)-adic perverse sheaves over a torus. (Faisceaux pervers \(\ell\)-adiques sur un tore.) (French) Zbl 0896.14009 Duke Math. J. 83, No. 3, 501-606 (1996). Reviewer: M.van der Put (Groningen) MSC: 14F10 14M25 14F30 14F35 PDF BibTeX XML Cite \textit{O. Gabber} and \textit{F. Loeser}, Duke Math. J. 83, No. 3, 501--606 (1996; Zbl 0896.14009) Full Text: DOI OpenURL
Sabbah, Claude Lieu des pôles d’un système holonome d’équations aux différences finies. (Location of poles of a holonomic system of finite difference equations). (French) Zbl 0766.32011 Bull. Soc. Math. Fr. 120, No. 3, 371-396 (1992). Reviewer: J.Kajiwara (Fukuoka) MSC: 32C38 39A10 PDF BibTeX XML Cite \textit{C. Sabbah}, Bull. Soc. Math. Fr. 120, No. 3, 371--396 (1992; Zbl 0766.32011) Full Text: DOI Numdam EuDML OpenURL
Kapranov, M. M. A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map. (English) Zbl 0714.14031 Math. Ann. 290, No. 2, 277-285 (1991). Reviewer: M.M.Kapranov MSC: 14M12 14J70 PDF BibTeX XML Cite \textit{M. M. Kapranov}, Math. Ann. 290, No. 2, 277--285 (1991; Zbl 0714.14031) Full Text: DOI EuDML OpenURL
Aomoto, Kazuhiko Finiteness of a cohomology associated with certain Jackson integrals. (English) Zbl 0769.33016 Tôhoku Math. J., II. Ser. 43, No. 1, 75-101 (1991). Reviewer: A.Kaneko (Komaba) MSC: 33D60 14H52 14K25 32M12 32N05 PDF BibTeX XML Cite \textit{K. Aomoto}, Tôhoku Math. J. (2) 43, No. 1, 75--101 (1991; Zbl 0769.33016) Full Text: DOI OpenURL
Belardinelli, G. Sulle funzioni ipergeometriche. (Italian) JFM 59.1052.06 Rendiconti Seminario Milano 7, 77-113 (1933). Reviewer: Hahn, Wolfgang, Dr. (Berlin) PDF BibTeX XML Cite \textit{G. Belardinelli}, Rend. Semin. Mat. Fis. Milano 7, 77--113 (1933; JFM 59.1052.06) Full Text: DOI OpenURL