{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,19]],"date-time":"2025-03-19T12:00:39Z","timestamp":1742385639833},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2009,8,26]],"date-time":"2009-08-26T00:00:00Z","timestamp":1251244800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Z."],"published-print":{"date-parts":[[2010,11]]},"DOI":"10.1007\/s00209-009-0592-x","type":"journal-article","created":{"date-parts":[[2009,8,25]],"date-time":"2009-08-25T03:27:14Z","timestamp":1251170834000},"page":"665-681","source":"Crossref","is-referenced-by-count":2,"title":["Basics of a generalized Wiman\u2013Valiron theory for monogenic Taylor series of finite convergence radius"],"prefix":"10.1007","volume":"266","author":[{"given":"D.","family":"Constales","sequence":"first","affiliation":[]},{"given":"R.","family":"De Almeida","sequence":"additional","affiliation":[]},{"given":"R. S.","family":"Krau\u00dfhar","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2009,8,26]]},"reference":[{"issue":"1\u20134","key":"592_CR1","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1080\/17476939008814416","volume":"14","author":"M.A. Abul-Ez","year":"1990","unstructured":"Abul-Ez M.A., Constales D.: Basic sets of polynomials in Clifford analysis. Complex Var. 14(1\u20134), 177\u2013185 (1990)","journal-title":"Complex Var."},{"issue":"2\u20133","key":"592_CR2","first-page":"575","volume":"142","author":"M.A. Abul-Ez","year":"2003","unstructured":"Abul-Ez M.A., Constales D.: On the order of basic series representing Clifford-valued functions. Appl. Math. Comput. 142(2\u20133), 575\u2013584 (2003)","journal-title":"Appl. Math. Comput."},{"issue":"1","key":"592_CR3","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1007\/s00013-003-4670-8","volume":"81","author":"M.A. Abul-Ez","year":"2003","unstructured":"Abul-Ez M.A., Constales D.: On the convergence properties of basic series representing special monogenic functions. Arch. Math. 81(1), 62\u201371 (2003)","journal-title":"Arch. Math."},{"key":"592_CR4","volume-title":"Clifford Analysis","author":"F. Brackx","year":"1982","unstructured":"Brackx F., Delanghe R., Sommen F.: Clifford Analysis. Pitman 76, London (1982)"},{"issue":"2","key":"592_CR5","doi-asserted-by":"crossref","first-page":"763","DOI":"10.1016\/j.jmaa.2006.04.055","volume":"327","author":"D. Constales","year":"2007","unstructured":"Constales D., De Almeida R., Krau\u00dfhar R.S.: On the relation between the growth and the Taylor coefficients of entire solutions to the higher dimensional Cauchy-Riemann system in $${\\mathbb{R}^{n+1}}$$ . J. Math. Anal. Appl. 327(2), 763\u2013775 (2007)","journal-title":"J. Math. Anal. Appl."},{"issue":"2","key":"592_CR6","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1007\/s00013-006-1790-y","volume":"88","author":"D. Constales","year":"2007","unstructured":"Constales D., De Almeida R., Krau\u00dfhar R.S.: On the growth type of entire monogenic functions. Arch. Math. 88(2), 153\u2013163 (2007)","journal-title":"Arch. Math."},{"issue":"3","key":"592_CR7","doi-asserted-by":"crossref","first-page":"579","DOI":"10.4171\/ZAA\/1096","volume":"21","author":"D. Constales","year":"2002","unstructured":"Constales D., Krau\u00dfhar R.S.: Representation formulas for the general derivatives of the fundamental solution of the Cauchy-Riemann operator in Clifford Analysis and Applications. Z. Anal. Anwendungen 21(3), 579\u2013597 (2002)","journal-title":"Z. Anal. Anwendungen"},{"issue":"4","key":"592_CR8","doi-asserted-by":"crossref","first-page":"791","DOI":"10.4171\/ZAA\/1268","volume":"24","author":"R. Almeida De","year":"2005","unstructured":"De Almeida R., Krau\u00dfhar R.S.: On the asymptotic growth of monogenic functions. Z. Anal. Anwendungen 24(4), 791\u2013813 (2005)","journal-title":"Z. Anal. Anwendungen"},{"key":"592_CR9","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1007\/BF01428219","volume":"196","author":"R. Delanghe","year":"1972","unstructured":"Delanghe R.: On the singularities of functions with values in a Clifford algebra. Math. Ann. 196, 293\u2013319 (1972)","journal-title":"Math. Ann."},{"key":"592_CR10","unstructured":"Fueter, R.: Functions of a Hyper Complex Variable. Lecture notes written and supplemented by E. Bareiss. Math. Inst. Univ. Z\u00fcrich, Fall Semester (1948\/1949)"},{"key":"592_CR11","volume-title":"Funktionentheorie in der Ebene und im Raum","author":"K. G\u00fcrlebeck","year":"2006","unstructured":"G\u00fcrlebeck K., Habetha K., Spr\u00f6\u00dfig W.: Funktionentheorie in der Ebene und im Raum. Birkh\u00e4user, Basel (2006)"},{"key":"592_CR12","volume-title":"Quaternionic and Clifford Calculus for Physicists and Engineers","author":"K. G\u00fcrlebeck","year":"1997","unstructured":"G\u00fcrlebeck K., Spr\u00f6\u00dfig W.: Quaternionic and Clifford Calculus for Physicists and Engineers. Wiley, Chichester (1997)"},{"key":"592_CR13","volume-title":"Meromorphe Funktionen und Differentialgleichungen","author":"G. Jank","year":"1985","unstructured":"Jank G., Volkmann L.: Meromorphe Funktionen und Differentialgleichungen. UTB Birkh\u00e4user, Basel (1985)"},{"key":"592_CR14","doi-asserted-by":"crossref","first-page":"317","DOI":"10.4153\/CMB-1974-064-0","volume":"17","author":"W.K. Hayman","year":"1974","unstructured":"Hayman W.K.: The local growth of power series: a survey of the Wiman\u2013Valiron method. Can. Math. Bull. 17, 317\u2013358 (1974)","journal-title":"Can. Math. Bull."},{"issue":"2","key":"592_CR15","first-page":"213","volume":"27","author":"E. Lindel\u00f6f","year":"1903","unstructured":"Lindel\u00f6f E.: Sur la d\u00e9termination de la croissance des fonctions ent\u00eceres d\u00e9finies par un d\u00e9veloppement de Taylor. Darb. Bull. 27(2), 213\u2013226 (1903)","journal-title":"Darb. Bull."},{"key":"592_CR16","volume-title":"Asymptotic Values of Holomorphic Functions","author":"G.R. MacLane","year":"1963","unstructured":"MacLane G.R.: Asymptotic Values of Holomorphic Functions. Rice University Studies, Houston (1963)"},{"key":"592_CR17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF02543858","volume":"46","author":"R. Nevanlinna","year":"1925","unstructured":"Nevanlinna R.: Zur Theorie der meromorphen Funktionen. Acta Math. 46, 1\u201399 (1925)","journal-title":"Acta Math."},{"key":"592_CR18","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1007\/BF01444962","volume":"58","author":"A. Pringsheim","year":"1904","unstructured":"Pringsheim A.: Elementare Theorie der ganzen transzendenten Funktionen von endlicher Ordnung. Math. Ann. 58, 257\u2013342 (1904)","journal-title":"Math. Ann."},{"issue":"6","key":"592_CR19","first-page":"846","volume":"33","author":"M.N. Sheremeta","year":"1981","unstructured":"Sheremeta M.N.: Maximal term and the central index of the power series expansion of a function analytic in a circle. Ukrainskii Matematicheskii Zhurnal 33(6), 846\u2013848 (1981)","journal-title":"Ukrainskii Matematicheskii Zhurnal"},{"key":"592_CR20","doi-asserted-by":"crossref","first-page":"296","DOI":"10.1016\/0022-247X(68)90031-0","volume":"24","author":"L.R. Sons","year":"1968","unstructured":"Sons L.R.: Regularity of growth and gaps. J. Math. Anal. Appl. 24, 296\u2013306 (1968)","journal-title":"J. Math. Anal. Appl."},{"key":"592_CR21","volume-title":"Lectures on the general theory of integral functions","author":"G. Valiron","year":"1949","unstructured":"Valiron G.: Lectures on the general theory of integral functions. Chelsea, New York (1949)"},{"key":"592_CR22","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1007\/BF02401837","volume":"37","author":"A. Wiman","year":"1914","unstructured":"Wiman A.: \u00dcber den Zusammenhang zwischen dem Maximalbetrage einer analytischen Funktion und dem gr\u00f6\u00dften Gliede der zugeh\u00f6rigen Taylorschen Reihe. Acta Math. 37, 305\u2013326 (1914)","journal-title":"Acta Math."}],"container-title":["Mathematische Zeitschrift"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00209-009-0592-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00209-009-0592-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00209-009-0592-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T12:10:29Z","timestamp":1558613429000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00209-009-0592-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,8,26]]},"references-count":22,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2010,11]]}},"alternative-id":["592"],"URL":"https:\/\/doi.org\/10.1007\/s00209-009-0592-x","relation":{},"ISSN":["0025-5874","1432-1823"],"issn-type":[{"value":"0025-5874","type":"print"},{"value":"1432-1823","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,8,26]]}}}