{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,1]],"date-time":"2025-05-01T16:11:05Z","timestamp":1746115865394,"version":"3.40.4"},"publisher-location":"Berlin, Heidelberg","reference-count":14,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642396366"},{"type":"electronic","value":"9783642396373"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-39637-3_24","type":"book-chapter","created":{"date-parts":[[2013,6,21]],"date-time":"2013-06-21T05:26:20Z","timestamp":1371792380000},"page":"293-303","source":"Crossref","is-referenced-by-count":0,"title":["A Note on Totally Regular Variables and Appell Sequences in Hypercomplex Function Theory"],"prefix":"10.1007","author":[{"given":"Carla","family":"Cruz","sequence":"first","affiliation":[]},{"given":"M. Irene","family":"Falc\u00e3o","sequence":"additional","affiliation":[]},{"given":"Helmuth R.","family":"Malonek","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"2","key":"24_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.\u00a09(2), 119\u2013144 (1880)","journal-title":"Ann. Sci. \u00c9cole Norm. Sup."},{"issue":"4","key":"24_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.\u00a033(4), 394\u2013411 (2010)","journal-title":"Math. Methods Appl. Sci."},{"key":"24_CR3","volume-title":"Clifford analysis","author":"F. Brackx","year":"1982","unstructured":"Brackx, F., Delanghe, R., Sommen, F.: Clifford analysis. Pitman, Boston-London-Melbourne (1982)"},{"key":"24_CR4","doi-asserted-by":"crossref","unstructured":"Cruz, C., Falc\u00e3o, M.I., Malonek, H.R.: On pseudo-complex bases for monogenic polynomials. In: Sivasundaram, S. (ed.) 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (ICNPAA 2012). AIP Conference Proceedings, vol.\u00a01493, pp. 350\u2013355 (2012)","DOI":"10.1063\/1.4765512"},{"key":"24_CR5","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1007\/BF01359699","volume":"185","author":"R. Delanghe","year":"1970","unstructured":"Delanghe, R.: On regular-analytic functions with values in a Clifford algebra. Math. Ann.\u00a0185, 91\u2013111 (1970)","journal-title":"Math. Ann."},{"key":"24_CR6","unstructured":"Falc\u00e3o, M.I., Cruz, J., Malonek, H.R.: Remarks on the generation of monogenic functions. 17th Inter. Conf. on the Appl. of Computer Science and Mathematics on Architecture and Civil Engineering, Weimar (2006)"},{"key":"24_CR7","first-page":"21","volume":"34","author":"K. G\u00fcrlebeck","year":"1982","unstructured":"G\u00fcrlebeck, K.: \u00dcber interpolation und approximation verallgemeinert analytischer funktionen. Wiss. Inf.\u00a034, 21 S.(1982)","journal-title":"Wiss. Inf."},{"key":"24_CR8","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1080\/17476939908815192","volume":"39","author":"K. G\u00fcrlebeck","year":"1999","unstructured":"G\u00fcrlebeck, K., Malonek, H.: A hypercomplex derivative of monogenic functions in \u211d n\u2009+\u20091 and its applications. Complex Variables Theory Appl.\u00a039, 199\u2013228 (1999)","journal-title":"Complex Variables Theory Appl."},{"key":"24_CR9","series-title":"International Series of Numerical Mathematics","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-7295-9","volume-title":"Quaternionic analysis and elliptic boundary value problems","author":"K. G\u00fcrlebeck","year":"1990","unstructured":"G\u00fcrlebeck, K., Spr\u00f6\u00dfig, W.: Quaternionic analysis and elliptic boundary value problems. International Series of Numerical Mathematics, vol.\u00a089. Birkh\u00e4user Verlag, Basel (1990)"},{"key":"24_CR10","volume-title":"Holomorphic functions in the plane and n-dimensional space","author":"K. G\u00fcrlebeck","year":"2008","unstructured":"G\u00fcrlebeck, K., Habetha, K., Spr\u00f6\u00dfig, W.: Holomorphic functions in the plane and n-dimensional space. Birkh\u00e4user Verlag, Basel (2008)"},{"key":"24_CR11","series-title":"Math. Lehrb.","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1515\/9783112707753-019","volume-title":"Complex Analysis, Methods, Trends, and Applications","author":"K. Habetha","year":"1983","unstructured":"Habetha, K.: Function theory in algebras. In: Complex Analysis, Methods, Trends, and Applications. Math. Lehrb., vol.\u00a061, pp. 225\u2013237. Akademie-Verlag, Berlin (1983)"},{"key":"24_CR12","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 m\u2009+\u20091 and the concept of hypercomplex differentiability. Complex Variables\u00a014, 25\u201333 (1990)","journal-title":"Complex Variables"},{"key":"24_CR13","unstructured":"Malonek, H.: Selected topics in hypercomplex function theory. In: Eriksson, S.L. (ed.) Clifford Algebras and Potential Theory, pp. 111\u2013150. 7. University of Joensuu (2004)"},{"issue":"3","key":"24_CR14","doi-asserted-by":"publisher","first-page":"789","DOI":"10.1007\/s00006-012-0361-5","volume":"22","author":"H.R. Malonek","year":"2012","unstructured":"Malonek, H.R., Falc\u00e3o, M.I.: On paravector valued homogeneous monogenic polynomials with binomial expansion. Advances in Applied Clifford Algebras\u00a022(3), 789\u2013801 (2012)","journal-title":"Advances in Applied Clifford Algebras"}],"container-title":["Lecture Notes in Computer Science","Computational Science and Its Applications \u2013 ICCSA 2013"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-39637-3_24","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,30]],"date-time":"2025-04-30T12:24:15Z","timestamp":1746015855000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-39637-3_24"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642396366","9783642396373"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-39637-3_24","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}