{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T23:03:41Z","timestamp":1725663821154},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540573227"},{"type":"electronic","value":"9783540480631"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1993]]},"DOI":"10.1007\/3-540-57322-4_14","type":"book-chapter","created":{"date-parts":[[2012,2,26]],"date-time":"2012-02-26T12:48:33Z","timestamp":1330260513000},"page":"195-213","source":"Crossref","is-referenced-by-count":2,"title":["Algorithmic development of power series"],"prefix":"10.1007","author":[{"given":"Wolfram","family":"Koepf","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2005,5,31]]},"reference":[{"key":"14_CR1","unstructured":"Axiom: User Guide. The Numerical Algorithms Group Ltd., 1991."},{"key":"14_CR2","unstructured":"Davenport, J.H., Siret, Y., Tournier, E.: Computer-Algebra: Systems and algorithms for algebraic computation. Academic Press, 1988."},{"key":"14_CR3","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1073\/pnas.75.1.40","volume":"75","author":"R.W. Gosper Jr.","year":"1978","unstructured":"Gosper Jr., R.W.: Decision procedure for indefinite hypergeometric summation. Proc. Natl. Acad. Sci. USA 75 (1978) 40\u201342.","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"14_CR4","volume-title":"Table of integrals, series, and products \u2014 corrected and enlarged version","author":"I.S. Gradshteyn","year":"1980","unstructured":"Gradshteyn, I.S., Ryzhik, I.M.: Table of integrals, series, and products \u2014 corrected and enlarged version. Academic Press, New York-London, 1980."},{"key":"14_CR5","volume-title":"Concrete Mathematics: A Foundation for Computer Science","author":"R.L. Graham","year":"1988","unstructured":"Graham, R.L., Knuth, D.E., Patashnik, O.: Concrete Mathematics: A Foundation for Computer Science. Addison-Wesley Publ. Co., Reading, Massachusetts, 1988."},{"key":"14_CR6","volume-title":"A table of series and products","author":"E.R. Hansen","year":"1975","unstructured":"Hansen, E.R.: A table of series and products. Prentice-Hall, Englewood Cliffs, NJ, 1975."},{"key":"14_CR7","volume-title":"Reduce User's manual, Version 3.4","author":"A. Hearn","year":"1987","unstructured":"Hearn, A.: Reduce\nUser's manual, Version 3.4. The RAND Corp., Santa Monica, CA, 1987."},{"key":"14_CR8","doi-asserted-by":"crossref","first-page":"581","DOI":"10.1016\/S0747-7171(10)80012-4","volume":"13","author":"W. Koepf","year":"1992","unstructured":"Koepf, W.: Power series in Computer Algebra. J. Symb. Comp. 13 (1992) 581\u2013603.","journal-title":"J. Symb. Comp."},{"key":"14_CR9","unstructured":"Koepf, W.: Examples for the algorithmic calculation of formal Puiseux, Laurent and power series (to appear)."},{"key":"14_CR10","unstructured":"Macsyma: Reference Manual, Version 13. Symbolics, USA, 1988."},{"key":"14_CR11","volume-title":"Reference Manual","author":"Maple","year":"1988","unstructured":"Maple: Reference Manual, fifth edition. Watcom publications, Waterloo, 1988.","edition":"fifth edition"},{"key":"14_CR12","first-page":"346","volume-title":"Transactions on mathematical software 1","author":"A. C. Norman","year":"1975","unstructured":"Norman, A. C.: Computing with formal power series. Transactions on mathematical software 1, ACM Press, New York (1975) 346\u2013356."},{"key":"14_CR13","doi-asserted-by":"crossref","first-page":"661","DOI":"10.2307\/2374045","volume":"103","author":"M. F. Singer","year":"1981","unstructured":"Singer, M. F.: Liouvillian solutions of n-th order homogeneous linear differential equations. Amer. J. Math. 103 (1981) 661\u2013682.","journal-title":"Amer. J. Math."},{"key":"14_CR14","volume-title":"Springer Grundwissen Mathematik 3","author":"W. Walter","year":"1985","unstructured":"Walter, W.: Analysis I. Springer Grundwissen Mathematik 3, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1985."},{"key":"14_CR15","volume-title":"Generatingfunctionology","author":"H.S. Wilf","year":"1990","unstructured":"Wilf, H.S.: Generatingfunctionology. Academic Press, Boston, 1990."},{"key":"14_CR16","volume-title":"A system for doing mathematics by Computer","author":"S. Wolfram","year":"1991","unstructured":"Wolfram, St.: Mathematica. A system for doing mathematics by Computer. Addison-Wesley Publ. Comp., Redwood City, CA, 1991."}],"container-title":["Lecture Notes in Computer Science","Artificial Intelligence and Symbolic Mathematical Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-57322-4_14.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T01:03:43Z","timestamp":1619571823000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-57322-4_14"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993]]},"ISBN":["9783540573227","9783540480631"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/3-540-57322-4_14","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[1993]]}}}