Voir la notice de l'article provenant de la source Math-Net.Ru
@article{JSFU_2010_3_4_a4, author = {Irina A. Antipova and Tatyana V. Zykova}, title = {On the set of convergence for {Mellin--Barnes} integral representing solutions to the tetranomial algebraic equation}, journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika}, pages = {475--486}, publisher = {mathdoc}, volume = {3}, number = {4}, year = {2010}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/JSFU_2010_3_4_a4/} }
TY - JOUR AU - Irina A. Antipova AU - Tatyana V. Zykova TI - On the set of convergence for Mellin--Barnes integral representing solutions to the tetranomial algebraic equation JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2010 SP - 475 EP - 486 VL - 3 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2010_3_4_a4/ LA - ru ID - JSFU_2010_3_4_a4 ER -
%0 Journal Article %A Irina A. Antipova %A Tatyana V. Zykova %T On the set of convergence for Mellin--Barnes integral representing solutions to the tetranomial algebraic equation %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2010 %P 475-486 %V 3 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2010_3_4_a4/ %G ru %F JSFU_2010_3_4_a4
Irina A. Antipova; Tatyana V. Zykova. On the set of convergence for Mellin--Barnes integral representing solutions to the tetranomial algebraic equation. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 4, pp. 475-486. http://geodesic.mathdoc.fr/item/JSFU_2010_3_4_a4/
[1] I. A. Antipova, “Obrascheniya mnogomernykh preobrazovanii Mellina i resheniya algebraicheskikh uravnenii”, Matem. sb., 198:4 (2007), 3–20 | MR | Zbl
[2] I. M. Gelfand, M. M. Kapranov, A. V. Zelevinsky, “Generalized Euler integrals and A-hypergeometric functions”, Adv. in Math., 84:2 (1990), 255–271 | DOI | MR | Zbl
[3] H. R. Mellin, “Résolution de l'équation algébrique générale à l'aide de la fonction gamma”, C. R. Acad. Sci. Paris Sér. I Math., 172 (1921), 658–661 | Zbl
[4] R. Buschman, H. Srivastava, “Convergence regions for some multiple Mellin–Barnes contour integrals representing generalized hypergeometric functions”, Internat. J. Math. Ed. Sci. Tech., 17:5 (1986), 605–609 | DOI | MR | Zbl
[5] M. Passare, A. Tsikh, O. Zhdanov, “A multidimensional Jordan residue lemma with an application to Mellin–Barnes integrals”, Aspects Math., 26 (1994), 233–241 | MR | Zbl
[6] O. N. Zhdanov, A. K. Tsikh, “Issledovanie kratnykh integralov Mellina–Barnsa s pomoschyu mnogomernykh vychetov”, Sib. matem. zhurn., 39:2 (1998), 281–298 | MR | Zbl
[7] L. Nilsson, M. Passare, A. Tsikh, “Hypergeometric series and integrals” (to appear)
[8] L. Nilsson, Amoebas, Discriminants, and Hypergeometric Functions, Doctoral Thesis, Department of Mathematics, Stockholm University, Sweden, 2009
[9] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii, Nauka, M., 1973
[10] A. G. Khovanskii, “Mnogogranniki Nyutona (razreshenie osobennostei)”, Itogi nauki i tekhniki. Sovremennye problemy matematiki, 22, VINITI, M., 1985, 207–239 | MR | Zbl