{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,21]],"date-time":"2025-08-21T17:47:03Z","timestamp":1755798423857},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"1-4","license":[{"start":{"date-parts":[[2008,5,14]],"date-time":"2008-05-14T00:00:00Z","timestamp":1210723200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2008,12]]},"DOI":"10.1007\/s11075-008-9197-4","type":"journal-article","created":{"date-parts":[[2008,5,13]],"date-time":"2008-05-13T14:56:10Z","timestamp":1210690570000},"page":"33-51","source":"Crossref","is-referenced-by-count":4,"title":["An algorithm to obtain global solutions of the double confluent Heun equation"],"prefix":"10.1007","volume":"49","author":[{"given":"J.","family":"Abad","sequence":"first","affiliation":[]},{"given":"F. J.","family":"G\u00f3mez","sequence":"additional","affiliation":[]},{"given":"J.","family":"Sesma","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2008,5,14]]},"reference":[{"key":"9197_CR1","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1017\/S0308210500018424","volume":"106A","author":"F.M. Arscott","year":"1987","unstructured":"Arscott, F.M.: Studies in multiplicative solutions to linear differential equations. Proc. Roy. Soc. Edinburgh 106A, 277\u2013305 (1987)","journal-title":"Proc. Roy. Soc. Edinburgh"},{"key":"9197_CR2","volume-title":"Asymptotic Expansions: Their Derivation and Interpretation","author":"R.B. Dingle","year":"1973","unstructured":"Dingle, R.B.: Asymptotic Expansions: Their Derivation and Interpretation. Academic Press, London (1973)"},{"key":"9197_CR3","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1016\/j.cam.2006.10.008","volume":"207","author":"F.J. G\u00f3mez","year":"2007","unstructured":"G\u00f3mez, F.J., Sesma, J.: Connection factors in the Schr\u00f6dinger equation with a polynomial potential. J. Comput. Appl. Math. 207, 291\u2013300 (2007)","journal-title":"J. Comput. Appl. Math."},{"key":"9197_CR4","volume-title":"Divergent Series","author":"G.H. Hardy","year":"1956","unstructured":"Hardy, G.H.: Divergent Series. Oxford University Press, London (1956)"},{"key":"9197_CR5","doi-asserted-by":"crossref","first-page":"293","DOI":"10.32917\/hmj\/1206137065","volume":"4","author":"M. Kohno","year":"1974","unstructured":"Kohno, M.: A two point connection problem for general linear ordinary differential equations. Hiroshima Math. J. 4, 293\u2013338 (1974)","journal-title":"Hiroshima Math. J."},{"key":"9197_CR6","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1137\/0507013","volume":"7","author":"F. Naundorf","year":"1976","unstructured":"Naundorf, F.: A connection problem for second order linear differential equations with two irregular singular points. SIAM J. Math. Anal. 7, 157\u2013175 (1976)","journal-title":"SIAM J. Math. Anal."},{"key":"9197_CR7","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/0375-9601(91)91081-N","volume":"152","author":"S. \u00d6z\u00e7elik","year":"1991","unstructured":"\u00d6z\u00e7elik, S., \u015eim\u015fek, M.: Exact solutions of the radial Schr\u00f6dinger equation for inverse-power potentials. Phys. Lett A 152, 145\u2013150 (1991)","journal-title":"Phys. Lett A"},{"key":"9197_CR8","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1007\/BF01162933","volume":"72","author":"O. Perron","year":"1959","unstructured":"Perron, O.: \u00dcber lineare Differenzengleichungen und eine Anwendung auf lineare Differentialgleichungen mit Polynomkoeffizienten. Math. Zeitschr. 72, 16\u201324 (1959)","journal-title":"Math. Zeitschr."},{"key":"9197_CR9","volume-title":"Heun\u2019s Differential Equations","year":"1995","unstructured":"Ronveaux, A. (ed.): Heun\u2019s Differential Equations. Oxford University Press, Oxford (1995)"},{"key":"9197_CR10","doi-asserted-by":"crossref","first-page":"674","DOI":"10.1137\/0710059","volume":"10","author":"A. Ruhe","year":"1973","unstructured":"Ruhe, A.: Algorithms for the nonlinear eigenvalue problem. SIAM J. Numer. Anal. 10, 674\u2013689 (1973)","journal-title":"SIAM J. Numer. Anal."},{"key":"9197_CR11","doi-asserted-by":"crossref","first-page":"863","DOI":"10.1137\/0511077","volume":"11","author":"R. Sch\u00e4fke","year":"1980","unstructured":"Sch\u00e4fke, R.: The connection problem for two neighboring regular singular points of general linear complex ordinary differential equations. SIAM J. Math. Anal. 11, 863\u2013875 (1980)","journal-title":"SIAM J. Math. Anal."},{"key":"9197_CR12","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1137\/0515021","volume":"15","author":"R. Sch\u00e4fke","year":"1984","unstructured":"Sch\u00e4fke, R.: A connection problem for a regular and an irregular singular point of complex ordinary differential equations. SIAM J. Math. Anal. 15, 253\u2013271 (1984)","journal-title":"SIAM J. Math. Anal."},{"key":"9197_CR13","doi-asserted-by":"crossref","first-page":"848","DOI":"10.1137\/0511076","volume":"11","author":"R. Sch\u00e4fke","year":"1980","unstructured":"Sch\u00e4fke, R., Schmidt, D.: The connection problem for general linear differential equations at two regular singular points with applications in the theory of special functions. SIAM J. Math. Anal. 11, 848\u2013862 (1980)","journal-title":"SIAM J. Math. Anal."},{"key":"9197_CR14","first-page":"129","volume-title":"Heun\u2019s Differential Equations","author":"D. Schmidt","year":"1995","unstructured":"Schmidt, D., Wolf, G.: Double confluent Heun equation. In: Ronveaux, A. (ed.) Heun\u2019s Differential Equations, pp. 129\u2013188. Oxford University Press, Oxford (1995)"},{"key":"9197_CR15","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198505730.001.0001","volume-title":"Special Functions: a Unified Theory Based on Singularities","author":"S.Y. Slavyanov","year":"2000","unstructured":"Slavyanov, S.Y., Lay, W.: Special Functions: a Unified Theory Based on Singularities. Oxford University Press, Oxford (2000)"},{"key":"9197_CR16","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1007\/BF01466727","volume":"118","author":"A.V. Turbiner","year":"1988","unstructured":"Turbiner, A.V.: Quasi-exactly-solvable problems and sl(2) algebra. Commun. Math. Phys. 118, 467\u2013474 (1988)","journal-title":"Commun. Math. Phys."},{"key":"9197_CR17","volume-title":"Asymptotic Expansions for Ordinary Differential Equations","author":"W. Wasow","year":"2002","unstructured":"Wasow, W.: Asymptotic Expansions for Ordinary Differential Equations. Dover, Mineola, NY (2002)"}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-008-9197-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-008-9197-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-008-9197-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,26]],"date-time":"2024-02-26T06:40:46Z","timestamp":1708929646000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-008-9197-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,5,14]]},"references-count":17,"journal-issue":{"issue":"1-4","published-print":{"date-parts":[[2008,12]]}},"alternative-id":["9197"],"URL":"https:\/\/doi.org\/10.1007\/s11075-008-9197-4","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,5,14]]}}}