{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T00:24:18Z","timestamp":1742948658097,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642219306"},{"type":"electronic","value":"9783642219313"}],"license":[{"start":{"date-parts":[[2011,1,1]],"date-time":"2011-01-01T00:00:00Z","timestamp":1293840000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2011]]},"DOI":"10.1007\/978-3-642-21931-3_21","type":"book-chapter","created":{"date-parts":[[2011,6,17]],"date-time":"2011-06-17T14:11:35Z","timestamp":1308319895000},"page":"261-270","source":"Crossref","is-referenced-by-count":1,"title":["Laguerre Polynomials in Several Hypercomplex Variables and Their Matrix Representation"],"prefix":"10.1007","author":[{"given":"H. R.","family":"Malonek","sequence":"first","affiliation":[]},{"given":"G.","family":"Tomaz","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"3","key":"21_CR1","doi-asserted-by":"publisher","first-page":"232","DOI":"10.2307\/2695384","volume":"108","author":"L. Aceto","year":"2001","unstructured":"Aceto, L., Trigiante, D.: The Matrices of Pascal and Other Greats. Amer. Math. Monthly\u00a0108(3), 232\u2013245 (2001)","journal-title":"Amer. Math. Monthly"},{"issue":"2","key":"21_CR2","doi-asserted-by":"crossref","first-page":"119","DOI":"10.24033\/asens.186","volume":"9","author":"P. Appell","year":"1880","unstructured":"Appell, P.: Sur une Classe de Polyn\u00f4mes. Ann. Sci. \u00c9cole Norm. Sup.\u00a09(2), 119\u2013144 (1880)","journal-title":"Ann. Sci. \u00c9cole Norm. Sup."},{"key":"21_CR3","doi-asserted-by":"publisher","first-page":"1084","DOI":"10.1016\/j.mcm.2010.11.071","volume":"53","author":"I. Ca\u00e7\u00e3o","year":"2011","unstructured":"Ca\u00e7\u00e3o, I., Falc\u00e3o, M.I., Malonek, H.R.: Laguerre Derivative and Monogenic Laguerre Polynomials. An Operational Approach. Math. Comput. Modelling\u00a053, 1084\u20131094 (2011)","journal-title":"An Operational Approach. Math. Comput. Modelling"},{"key":"21_CR4","doi-asserted-by":"publisher","first-page":"372","DOI":"10.2307\/2324960","volume":"100","author":"G.S. Call","year":"1993","unstructured":"Call, G.S., Velleman, J.: Pascal\u2019s Matrices. Amer. Math. Monthly\u00a0100, 372\u2013376 (1993)","journal-title":"Amer. Math. Monthly"},{"key":"21_CR5","doi-asserted-by":"publisher","first-page":"543","DOI":"10.1016\/0022-247X(70)90276-3","volume":"32","author":"B.C. Carlson","year":"1970","unstructured":"Carlson, B.C.: Polynomials Satisfying a Binomial Theorem. J. Math. Anal. Appl.\u00a032, 543\u2013558 (1970)","journal-title":"J. Math. Anal. Appl."},{"key":"21_CR6","volume-title":"Holomorphic Functions in the Plane and n-dimensional Space","author":"K. Guerlebeck","year":"2008","unstructured":"Guerlebeck, K., Habetha, K., Sproessig, W.: Holomorphic Functions in the Plane and n-dimensional Space. Birkh\u00e4user, Basel (2008)"},{"key":"21_CR7","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511840371","volume-title":"Topics in Matrix Analysis","author":"R.A. Horn","year":"1991","unstructured":"Horn, R.A., Johnson, C.R.: Topics in Matrix Analysis. Cambridge University Press, New York (1991)"},{"issue":"2","key":"21_CR8","doi-asserted-by":"publisher","first-page":"556","DOI":"10.1007\/BF01093697","volume":"6","author":"Y.A. Kaz\u2019min","year":"1969","unstructured":"Kaz\u2019min, Y.A.: On Appell Polynomials. Math. Notes\u00a06(2), 556\u2013562 (1969)","journal-title":"Math. Notes"},{"key":"21_CR9","doi-asserted-by":"publisher","DOI":"10.1201\/9780203910290","volume-title":"Theory of Difference Equations: Numerical Methods and Applications","author":"V. Lakshmikantham","year":"2002","unstructured":"Lakshmikantham, V., Trigiante, D.: Theory of Difference Equations: Numerical Methods and Applications. M. Dekker, New York (2002)"},{"key":"21_CR10","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1080\/17476939008814401","volume":"14","author":"H. Malonek","year":"1990","unstructured":"Malonek, H.: A New Hypercomplex Structure of the Euclidean Space \u211d\n                    m\u2009+\u20091 and the Concept of Hypercomplex Differentiability. Complex Variables\u00a014, 25\u201333 (1990)","journal-title":"Complex Variables"},{"key":"21_CR11","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1080\/17476939008814449","volume":"15","author":"H. Malonek","year":"1990","unstructured":"Malonek, H.: Power Series Representation for Monogenic Functions in R\n                  \n                    m\u2009+\u20091 Based on a Permutational Product. Complex Variables\u00a015, 181\u2013191 (1990)","journal-title":"Complex Variables"},{"key":"21_CR12","unstructured":"Malonek, H. : Selected Topics in Hypercomplex Function Theory: Clifford Algebras and Potential Theory. In: Eriksson, S.-L. (ed.), Report Series 7, pp. 111-150. University of Joensuu (2004)"},{"key":"21_CR13","doi-asserted-by":"publisher","first-page":"838","DOI":"10.1016\/j.dam.2008.06.009","volume":"157","author":"H.R. Malonek","year":"2009","unstructured":"Malonek, H.R., Tomaz, G.: Bernoulli Polynomials and Pascal Matrices in the Context of Clifford Analysis. Discrete Appl. Math.\u00a0157, 838\u2013847 (2009)","journal-title":"Discrete Appl. Math."},{"issue":"3","key":"21_CR14","first-page":"447","volume":"44","author":"H. Malonek","year":"2008","unstructured":"Malonek, H., Tomaz, G.: On Generalized Euler Polynomials in Clifford Analysis. Int. J. Pure Appl. Math.\u00a044(3), 447\u2013465 (2008)","journal-title":"Int. J. Pure Appl. Math."},{"key":"21_CR15","unstructured":"Malonek, H.R., Aceto, L., Tomaz, G.: A unified approach to matrix representation of Appell polynomials (in preparation)"},{"key":"21_CR16","doi-asserted-by":"crossref","unstructured":"Tomaz, G., Malonek, H.R.: Special Block Matrices and Multivariate Polynomials. In: Simos, T.E., Psihoyios, G., Tsitouras, C. (eds.) International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2010, Melville, New York. AIP Conference Proceedings, vol.\u00a01281, pp. 1515\u20131518 (2010)","DOI":"10.1063\/1.3498067"}],"container-title":["Lecture Notes in Computer Science","Computational Science and Its Applications - ICCSA 2011"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-21931-3_21","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,28]],"date-time":"2019-03-28T19:40:21Z","timestamp":1553802021000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-21931-3_21"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011]]},"ISBN":["9783642219306","9783642219313"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-21931-3_21","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2011]]}}}