{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,8,10]],"date-time":"2023-08-10T06:42:58Z","timestamp":1691649778832},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2012,7,20]],"date-time":"2012-07-20T00:00:00Z","timestamp":1342742400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv. Appl. Clifford Algebras"],"published-print":{"date-parts":[[2012,9]]},"DOI":"10.1007\/s00006-012-0361-5","type":"journal-article","created":{"date-parts":[[2012,7,19]],"date-time":"2012-07-19T12:14:01Z","timestamp":1342700041000},"page":"789-801","source":"Crossref","is-referenced-by-count":5,"title":["On Paravector Valued Homogeneous Monogenic Polynomials with Binomial Expansion"],"prefix":"10.1007","volume":"22","author":[{"given":"H. R.","family":"Malonek","sequence":"first","affiliation":[]},{"given":"M. I.","family":"Falc\u00e3o","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,7,20]]},"reference":[{"issue":"2","key":"361_CR1","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. 9(2), 119\u2013144 (1880)","journal-title":"Ann. Sci. \u00c9cole Norm. Sup."},{"issue":"4","key":"361_CR2","doi-asserted-by":"crossref","first-page":"394","DOI":"10.1002\/mma.1213","volume":"33","author":"S. Bock","year":"2010","unstructured":"Bock S., G\u00fcrlebeck K.: On a Generalized Appell System and Monogenic Power Series. Math. Methods Appl. Sci. 33(4), 394\u2013411 (2010)","journal-title":"Math. Methods Appl. Sci."},{"key":"361_CR3","unstructured":"F. Brackx, R. Delanghe, and F. Sommen, Clifford Analysis. Pitman, Boston-London-Melbourne, 1982."},{"issue":"5-6","key":"361_CR4","doi-asserted-by":"crossref","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. Model. 53(5-6), 1084\u20131094 (2011)","journal-title":"Math. Comput. Model."},{"key":"361_CR5","doi-asserted-by":"crossref","unstructured":"I. Ca\u00e7\u00e3o, M. I. Falc\u00e3o, and H. R. Malonek, On Generalized Hypercomplex Laguerre-Type Exponentials and Applications. In Computational Science and Its Applications - ICCSA 2011, B. Murgante, O. Gervasi, A. Iglesias,D. Taniar, and B. Apduhan, Eds., Lecture Notes in Computer Science, vol. 6784, Springer-Verlag, Berlin, Heidelberg, 2011, 271\u2013286.","DOI":"10.1007\/978-3-642-21931-3_22"},{"key":"361_CR6","doi-asserted-by":"crossref","unstructured":"I. Ca\u00e7\u00e3o and H. R. Malonek, On Complete Sets of Hypercomplex Appell Polynomials. In AIP Conference Proceedings, Th. E. Simos, G. Psihoyios, and Ch. Tsitouras, Eds., vol. 1048, 2008, 647\u2013650.","DOI":"10.1063\/1.2991009"},{"key":"361_CR7","doi-asserted-by":"crossref","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. 32, 543\u2013558 (1970)","journal-title":"J. Math. Anal. Appl."},{"key":"361_CR8","unstructured":"J. Cruz, M. I. Falc\u00e3o, and H. R. Malonek, 3D-Mappings and Their Approximations by Series of Powers of a Small Parameter. In 17th Inter. Conf. on the Appl. of Computer Science and Mathematics on Architecture and Civil Engineering, Weimar, 2006."},{"key":"361_CR9","unstructured":"M. I. Falc\u00e3o, J. Cruz, and H. R. Malonek, Remarks on the Generation of Monogenic Functions. In 17th Inter. Conf. on the Appl. of Computer Science and Mathematics on Architecture and Civil Engineering, Weimar, 2006."},{"key":"361_CR10","doi-asserted-by":"crossref","unstructured":"M. I. Falc\u00e3o and H. R. Malonek, Generalized Exponentials Through Appell Sets in $${\\mathbb{R}^{n+1}}$$ and Bessel Functions. In AIP Conference Proceedings, Th. E. Simos, G. Psihoyios, and Ch. Tsitouras, Eds., vol. 936, 2007, 738\u2013741.","DOI":"10.1063\/1.2790257"},{"key":"361_CR11","first-page":"145","volume":"2","author":"R. Fueter","year":"1930","unstructured":"Fueter R.: \u00dcber Funktionen einer Quaternionenvariablen. Atti Congresso Bologna 2, 145 (1930)","journal-title":"Atti Congresso Bologna"},{"key":"361_CR12","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1007\/BF01202702","volume":"4","author":"R. Fueter","year":"1932","unstructured":"Fueter R.: Analytische Funktionen einer Quaternionenvariablen. Comment. Math. Helv. 4, 9\u201320 (1932)","journal-title":"Comment. Math. Helv."},{"key":"361_CR13","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1080\/17476939908815192","volume":"39","author":"K. G\u00fcrlebeck","year":"1999","unstructured":"G\u00fcrlebeck K., Malonek H. R.: A Hypercomplex Derivative of Monogenic Functions in $${{\\mathbb{R}^{n+1}}}$$ and Its Applications. Complex Variables Theory Appl. 39, 199\u2013 (1999)","journal-title":"Complex Variables Theory Appl."},{"key":"361_CR14","unstructured":"K. G\u00fcrlebeck, K. Habetha, and W. Spr\u00f6\u00dfig, Holomorphic Functions in the Plane and n-Dimensional Space. Birkh\u00e4user Verlag, Basel, 2008, Translated from the 2006 German original."},{"issue":"1","key":"361_CR15","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1007\/s00006-008-0126-3","volume":"19","author":"N. G\u00fcrlebeck","year":"2009","unstructured":"G\u00fcrlebeck N.: On Appell Sets and the Fueter-Sce Mapping. Adv. Appl. Clifford Algebras 19(1), 51\u201361 (2009)","journal-title":"Adv. Appl. Clifford Algebras"},{"key":"361_CR16","unstructured":"R. L\u00e1vi\u010dka, Canonical Bases for sl(2, c)-Modules of Spherical Monogenics in Dimension 3. Archivum Mathematicum 46 (2010), 339\u2013349."},{"key":"361_CR17","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1007\/BF03043103","volume":"8","author":"G. Laville","year":"1998","unstructured":"Laville G., Ramadanoff I.: Holomorphic Cliffordian Functions. Adv. Appl. Clifford Algebras 8, 323\u2013340 (1998)","journal-title":"Adv. Appl. Clifford Algebras"},{"key":"361_CR18","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1080\/17476939208814584","volume":"20","author":"H. Leutwiler","year":"1992","unstructured":"Leutwiler H.: Modified Quaternionic Analysis in $${\\mathbb{R}^3}$$ . Complex Variables, Theory Appl. 20, 19\u201351 (1992)","journal-title":"Complex Variables, Theory Appl."},{"key":"361_CR19","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1080\/17476939008814401","volume":"14","author":"H. R. Malonek","year":"1990","unstructured":"Malonek H. R.: A New Hypercomplex Structure of the Euclidean Space $${\\mathbb{R}^{m+1}}$$ and the Concept of Hypercomplex Differentiability. Complex Variables 14, 25\u201333 (1990)","journal-title":"Complex Variables"},{"key":"361_CR20","unstructured":"H. R. Malonek, Selected Topics in Hypercomplex Function Theory. In Clifford Algebras and Potential Theory, S.-L. Eriksson, Ed., 7, University of Joensuu, 2004, 111\u2013150."},{"key":"361_CR21","unstructured":"H. R. Malonek and R. De Almeida, A Note on a Generalized Joukowski Transformation. Appl. Math. Lett. 23 (2010), no. 10, 1174\u20131178."},{"key":"361_CR22","unstructured":"H. R. Malonek and M. I. Falc\u00e3o, 3D-Mappings Using Monogenic Functions. Wiley-VCH, Weinheim, 2006, 615\u2013619."},{"key":"361_CR23","doi-asserted-by":"crossref","unstructured":"H. R. Malonek and M. I. Falc\u00e3o, Special Monogenic Polynomials-Properties and Applications. In AIP Conference Proceedings, Th. E. Simos, G. Psihoyios, and Ch. Tsitouras, Eds., vol. 936, 2007, 764\u2013767.","DOI":"10.1063\/1.2790265"},{"key":"361_CR24","doi-asserted-by":"crossref","first-page":"163","DOI":"10.2307\/2373431","volume":"90","author":"E. M. Stein","year":"1968","unstructured":"Stein E. M., Weiss G.: Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group. Amer. J. Math. 90, 163\u2013196 (1968)","journal-title":"Amer. J. Math."}],"container-title":["Advances in Applied Clifford Algebras"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00006-012-0361-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00006-012-0361-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00006-012-0361-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,7,11]],"date-time":"2020-07-11T05:08:10Z","timestamp":1594444090000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00006-012-0361-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,7,20]]},"references-count":24,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2012,9]]}},"alternative-id":["361"],"URL":"https:\/\/doi.org\/10.1007\/s00006-012-0361-5","relation":{},"ISSN":["0188-7009","1661-4909"],"issn-type":[{"value":"0188-7009","type":"print"},{"value":"1661-4909","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,7,20]]}}}