{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T11:47:58Z","timestamp":1648813678997},"reference-count":16,"publisher":"Masaryk University Press","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Arch. Math. (Brno)"],"published-print":{"date-parts":[[2012]]},"DOI":"10.5817\/am2012-5-371","type":"journal-article","created":{"date-parts":[[2013,1,9]],"date-time":"2013-01-09T20:24:36Z","timestamp":1357763076000},"page":"371-385","source":"Crossref","is-referenced-by-count":1,"title":["Solutions to a class of polynomially generalized Bers\u2013Vekua equations using Clifford analysis"],"prefix":"10.5817","author":[{"given":"Min","family":"Ku","sequence":"first","affiliation":[]},{"given":"Uwe","family":"K\u00e4hler","sequence":"additional","affiliation":[]},{"given":"Paula","family":"Cerejeiras","sequence":"additional","affiliation":[]}],"member":"3846","published-online":{"date-parts":[[2012]]},"reference":[{"key":"ref00001","unstructured":"Berglez, P.: Representation of pseudoanalytic functions in the space. More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25\u201330, 2005 (Begehr,\u00a0H., Nicolosi,\u00a0F., eds.), 2008, pp.\u00a01119\u20131126. MR\u00a01395232"},{"key":"ref00002","unstructured":"Berglez, P.: On the solutions of a class of iterated generalized Bers\u2013Vekua equations in Clifford analysis. Math. Methods Appl. Sci. 33 (2010), 454\u2013458. MR\u00a02641622"},{"key":"ref00003","unstructured":"Bers, L.: Theory of Pseudo\u2013analytic Functions. New York University, Institute for Mathematics and Mechanics, III, 187 p., 1953. MR\u00a00057347"},{"key":"ref00004","unstructured":"Brackx, F., Delanghe, R., Sommen, F.: Clifford analysis. Res. Notes Math., vol.\u00a076, Pitman, London, 1982. MR\u00a00697564"},{"key":"ref00005","unstructured":"Delanghe, R., Brackx, F.: Hypercomplex function theory and Hilbert modules with reproducing kernel. Proc. London Math. Soc. 37 (3) (1978), 545\u2013576. MR\u00a00512025"},{"key":"ref00006","doi-asserted-by":"crossref","unstructured":"Delanghe, R., Sommen, F., Sou\u010dek, V.: Clifford algebra and spinor\u2013valued functions. Math. Appl., vol.\u00a053, Kluwer Acad. Publ., Dordrecht, 1992. MR\u00a01169463","DOI":"10.1007\/978-94-011-2922-0"},{"key":"ref00007","doi-asserted-by":"crossref","unstructured":"G\u00fcrlebeck, K., Spr\u00f6ssig, W.: Quaternionic Analysis and Elliptic Boundary Value Problems. Birkh\u00e4user, Basel, 1990. MR\u00a01096955","DOI":"10.1007\/978-3-0348-7295-9"},{"key":"ref00008","doi-asserted-by":"publisher","unstructured":"Min, K., Daoshun, W.: Half Dirichlet problem for matrix functions on the unit ball in Hermitian Clifford. J. Math. Anal. Appl. 374 (2011), 442\u2013457. DOI\u00a010.1016\/j.jmaa.2010.08.015","DOI":"10.1016\/j.jmaa.2010.08.015"},{"key":"ref00009","unstructured":"Min, K., Daoshun, W.: Solutions to polynomial Dirac equations on unbounded domains in Clifford analysis. Math. Methods Appl. Sci. 34 (2011), 418\u2013427. MR\u00a02791483"},{"key":"ref00010","doi-asserted-by":"publisher","unstructured":"Min, K., Daoshun, W., Lin, D.: Solutions to polynomial generalized Bers\u2013Vekua equations in Clifford analysis. Complex Anal. Oper. Theory 6 (2) (2012), 407\u2013424. DOI\u00a010.1007\/s11785-011-0131-8","DOI":"10.1007\/s11785-011-0131-8"},{"key":"ref00011","doi-asserted-by":"publisher","unstructured":"Min, K., Jinyuan, D.: On integral representation of spherical $k$\u2013regular functions in Clifford analysis. Adv. Appl. Clifford Algebras 19 (1) (2009), 83\u2013100. DOI\u00a010.1007\/s00006-008-0067-x","DOI":"10.1007\/s00006-008-0067-x"},{"key":"ref00012","doi-asserted-by":"publisher","unstructured":"Min, K., Kh\u00e4ler, U.: Riemann boundary value problems on the half space in Clifford analysis. Math. Methods Appl. Sci. (2012), doi:10.1002\/mma.2557. MR\u00a03021423","DOI":"10.1002\/mma.2557"},{"key":"ref00013","doi-asserted-by":"publisher","unstructured":"Min, K., Kh\u00e4ler, U., Daoshun, W.: Riemann boundary value problems on the sphere in Clifford analysis. Adv. Appl. Clifford Algebras 22 (2) (2012), 365\u2013390. DOI\u00a010.1007\/s00006-011-0308-2","DOI":"10.1007\/s00006-011-0308-2"},{"key":"ref00014","doi-asserted-by":"publisher","unstructured":"Spr\u00f6ssig, W.: On generalized Vekua\u2013type problems. Adv. Appl. Clifford Algebras 11 (2001), 77\u201392. DOI\u00a010.1007\/BF03042210","DOI":"10.1007\/BF03042210"},{"key":"ref00015","unstructured":"Vekua, I. N.: Generalized Analytic Functions. Pergamon Press, London, 1962. MR\u00a00150320"},{"key":"ref00016","doi-asserted-by":"publisher","unstructured":"Yafang, G., Tao, Q., Jinyuan, D.: Structure of solutions of polynomial Dirac equations in Clifford analysis. Complex Variables Theory Appl. 49 (1) (2004), 15\u201321. DOI\u00a010.1080\/02781070310001634593","DOI":"10.1080\/02781070310001634593"}],"container-title":["Archivum Mathematicum"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dml.cz\/bitstream\/handle\/10338.dmlcz\/143112\/ArchMathRetro_048-2012-5_7.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,10,27]],"date-time":"2020-10-27T07:58:52Z","timestamp":1603785532000},"score":1,"resource":{"primary":{"URL":"http:\/\/dml.cz\/handle\/10338.dmlcz\/143112"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":16,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2012]]},"published-print":{"date-parts":[[2012]]}},"URL":"https:\/\/doi.org\/10.5817\/am2012-5-371","relation":{},"ISSN":["0044-8753","1212-5059"],"issn-type":[{"value":"0044-8753","type":"print"},{"value":"1212-5059","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}