{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,14]],"date-time":"2026-02-14T02:32:47Z","timestamp":1771036367424,"version":"3.50.1"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2014,8,31]],"date-time":"2014-08-31T00:00:00Z","timestamp":1409443200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv. Appl. Clifford Algebras"],"published-print":{"date-parts":[[2014,12]]},"DOI":"10.1007\/s00006-014-0495-8","type":"journal-article","created":{"date-parts":[[2014,8,30]],"date-time":"2014-08-30T06:51:16Z","timestamp":1409381476000},"page":"995-1004","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Generating Functions for Spherical Harmonics and Spherical Monogenics"],"prefix":"10.1007","volume":"24","author":[{"given":"P.","family":"Cerejeiras","sequence":"first","affiliation":[]},{"given":"U.","family":"K\u00e4hler","sequence":"additional","affiliation":[]},{"given":"R.","family":"L\u00e1vi\u010dka","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,8,31]]},"reference":[{"key":"495_CR1","doi-asserted-by":"crossref","unstructured":"K. Atkinson and W. Han, Spherical Harmonics and Approximations on the Unit Sphere: an Introduction. Springer, 2012.","DOI":"10.1007\/978-3-642-25983-8"},{"key":"495_CR2","unstructured":"N. Asai, I. Kubo, H-H. Kuo, Generating functions of orthogonal polynomials and Szeg\u00f6 -Jacobi parameters. Probability and mathematical statistics, Vol. 23, Fasc. 2, (2003), 273\u201329."},{"key":"495_CR3","unstructured":"S. Bock and K. G\u00fcrlebeck, On a generalized Appell system and monogenic power series. Math. Methods Appl. Sci. 33 (2010), 394-411."},{"issue":"(4","key":"495_CR4","doi-asserted-by":"crossref","first-page":"1165","DOI":"10.4171\/RMI\/708","volume":"28","author":"S. Bock","year":"2012","unstructured":"Bock S., G\u00fcrlebeck K., L\u00e1vi\u010dka R., Sou\u010dek V.: The Gel\u2019fand-Tsetlin bases for spherical monogenics in dimension 3. Rev. Mat. Iberoamericana 28((4), 1165\u20131192 (2012)","journal-title":"Rev. Mat. Iberoamericana"},{"key":"495_CR5","unstructured":"F. Brackx, R. Delanghe, F. Sommen, Clifford analysis. Pitman, London, 1982."},{"key":"495_CR6","unstructured":"F. Brackx, H. De Schepper, R. L\u00e1vi\u010dka, V. Sou\u010dek, Gelfand-Tsetlin Bases of Orthogonal Polynomials in Hermitean Clifford Analysis. Math. Methods Appl. Sci. 34 (2011), 2167-2180."},{"key":"495_CR7","unstructured":"F. Brackx, H. De Schepper, R. L\u00e1vi\u010dka, V. Sou\u010dek, Embedding Factors for Branching in Hermitian Clifford Analysis. To appear in Complex Anal. Oper. Theory"},{"key":"495_CR8","unstructured":"I. Ca\u00e7\u00e3o, Constructive approximation by monogenic polynomials. Ph.D thesis, Univ. Aveiro, 2004."},{"key":"495_CR9","doi-asserted-by":"crossref","unstructured":"I. Ca\u00e7\u00e3o, K. G\u00fcrlebeck, S. Bock, On derivatives of spherical monogenics. Complex Var. Elliptic Equ. 51 (811) (2006), 847--869.","DOI":"10.1080\/17476930600689084"},{"key":"495_CR10","unstructured":"I. Ca\u00e7\u00e3o, K. G\u00fcrlebeck, S. Bock, Complete orthonormal systems of spherical monogenics-a constructive approach. In: L.H. Son, W. Tutschke, S. Jain (Eds.), Methods of Complex and Clifford Analysis, Proceedings of ICAM, Hanoi, SAS International Publications, 2004."},{"key":"495_CR11","doi-asserted-by":"crossref","unstructured":"I. Ca\u00e7\u00e3o, K. G\u00fcrlebeck, H.R. Malonek, Special monogenic polynomials and L2\u2013 approximation. Adv. appl. Clifford alg. 11 (S2) (2001), 47--60.","DOI":"10.1007\/BF03219121"},{"key":"495_CR12","unstructured":"I. Ca\u00e7\u00e3o and H. R. Malonek, Remarks on some properties of monogenic polynomials. ICNAAM 2006. International conference on numerical analysis and applied mathematics 2006 (T.E. Simos, G. Psihoyios, and Ch. Tsitouras, eds.), Wiley\u2013VCH, Weinheim, 2006, pp. 596\u2013599."},{"key":"495_CR13","doi-asserted-by":"crossref","unstructured":"I. Ca\u00e7\u00e3o and H. R. Malonek, On a complete set of hypercomplex Appell polynomials. Proc. ICNAAM 2008, (T. E. Timos, G. Psihoyios, Ch. Tsitouras, Eds.), AIP Conference Proceedings 1048, 647\u2013650.","DOI":"10.1063\/1.2991009"},{"key":"495_CR14","doi-asserted-by":"crossref","unstructured":"R. Delanghe, R. L\u00e1vi\u010dka, V. Sou\u010dek, The Gelfand\u2013Tsetlin bases for Hodge\u2013de Rham systems in Euclidean spaces. Math. Meth. Appl. Sci. 35 (7) (2012), 745\u2013 757.","DOI":"10.1002\/mma.1563"},{"key":"495_CR15","doi-asserted-by":"crossref","unstructured":"R. Delanghe, F. Sommen, V. Sou\u010dek, Clifford algebra and spinor\u2013valued functions. Kluwer Academic Publishers, Dordrecht, 1992.","DOI":"10.1007\/978-94-011-2922-0"},{"key":"495_CR16","doi-asserted-by":"crossref","unstructured":"C.F. Dunkl, Y. Xu, Orthogonal Polynomials of Several Variables. Cambridge University Press, Cambridge, 2001.","DOI":"10.1017\/CBO9780511565717"},{"key":"495_CR17","doi-asserted-by":"crossref","unstructured":"J. E. Gilbert, M. A. M. Murray, Clifford Algebras and Dirac Operators in Harmonic Analysis. Cambridge University Press, Cambridge, 1991.","DOI":"10.1017\/CBO9780511611582"},{"key":"495_CR18","unstructured":"K. G\u00fcrlebeck, K. Habetha,W. Spr\u00f6\u00dfig, Holomorphic functions in the plane and n\u2013dimensional space. Translated from the 2006 German original, with cd\u2013rom (Windows and UNIX), Birkh\u00e4user Verlag (Basel, 2008)."},{"key":"495_CR19","unstructured":"K. G\u00fcrlebeck, W. Spr\u00f6\u00dfig, Quaternionic and Clifford Calculus for Physicists and Engineers. J. Wiley & Sons, Chichester, 1997."},{"key":"495_CR20","doi-asserted-by":"crossref","unstructured":"S.G. Krantz, H.R. Parks, A Primer of Real Analytic Functions. Birkh\u00e4user, Basel, 1992.","DOI":"10.1007\/978-3-0348-7644-5"},{"issue":"(5","key":"495_CR21","first-page":"339","volume":"46","author":"R. L\u00e1vi\u010dka","year":"2010","unstructured":"L\u00e1vi\u010dka R.: Canonical bases for sl(2,C)\u2013modules of spherical monogenics in dimension 3. Arch. Math.(Brno) 46((5), 339\u2013349 (2010)","journal-title":"Arch. Math.(Brno)"},{"key":"495_CR22","doi-asserted-by":"crossref","unstructured":"R. L\u00e1vi\u010dka, Complete orthogonal Appell systems for spherical monogenics. Complex Anal. Oper. Theory 6 (2) (2012), 477489.","DOI":"10.1007\/s11785-011-0200-z"},{"key":"495_CR23","doi-asserted-by":"crossref","unstructured":"R. L\u00e1vi\u010dka, Orthogonal Appell bases for Hodge\u2013de Rham systems in Euclidean spaces. Adv. appl. Clifford alg. 23 (1) (2013), 113\u2013124.","DOI":"10.1007\/s00006-012-0368-y"},{"key":"495_CR24","unstructured":"R. L\u00e1vi\u010dka, Hypercomplex Analysis \u2013 Selected Topics. Habilitation thesis, Faculty of Mathematics and Physics, Charles University, Prague, 2011."},{"key":"495_CR25","doi-asserted-by":"crossref","unstructured":"P. Maroni, J. Van Iseghem, Generating functions and semi\u2013classical orthogonal polynomials. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Volume 124, Issue 05, January 1994, pp. 1003\u20131011.","DOI":"10.1017\/S0308210500022460"},{"key":"495_CR26","doi-asserted-by":"crossref","unstructured":"A. I. Molev, Gelfand\u2013Tsetlin bases for classical Lie algebras. in: M. Hazewinkel (Ed.), Handbook of Algebra, Vol. 4, Elsevier, 2006, pp. 109\u2013170.","DOI":"10.1016\/S1570-7954(06)80006-9"},{"key":"495_CR27","unstructured":"S. Roman, The Umbral Calculus. Academic Press Inc., 1984."},{"key":"495_CR28","unstructured":"G.-C. Rota, Combinatorics, representation theory and invariant theory: the story of a m\u00e9nage \u00e1 trois. Discrete Math. 193 (1998), 5\u201316."},{"key":"495_CR29","unstructured":"F. Sommen, Spingroups and spherical means III. Rend. Circ. Mat. Palermo (2) Suppl. No 1 (1989), 295\u2013323."},{"key":"495_CR30","doi-asserted-by":"crossref","unstructured":"A. Sommerfeld, Partial Differential Equations in Physics. Academic Press Inc. Publishers, New York, 1949.","DOI":"10.1016\/B978-0-12-654658-3.50006-9"},{"key":"495_CR31","unstructured":"H. S. Wilf, Generatingfunctionology. Academic Press, Inc., 1990."},{"key":"495_CR32","doi-asserted-by":"crossref","unstructured":"E .T. Whittaker and G.N. Watson, A Course of Modern Analysis. 4th ed., Cambridge University Press, Cambridge, 1996.","DOI":"10.1017\/CBO9780511608759"}],"container-title":["Advances in Applied Clifford Algebras"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00006-014-0495-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00006-014-0495-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00006-014-0495-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,14]],"date-time":"2019-08-14T13:51:25Z","timestamp":1565790685000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00006-014-0495-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,8,31]]},"references-count":32,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2014,12]]}},"alternative-id":["495"],"URL":"https:\/\/doi.org\/10.1007\/s00006-014-0495-8","relation":{},"ISSN":["0188-7009","1661-4909"],"issn-type":[{"value":"0188-7009","type":"print"},{"value":"1661-4909","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,8,31]]}}}