{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,8]],"date-time":"2024-09-08T12:23:17Z","timestamp":1725798197116},"publisher-location":"Berlin, Heidelberg","reference-count":23,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783662441985"},{"type":"electronic","value":"9783662441992"}],"license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014]]},"DOI":"10.1007\/978-3-662-44199-2_51","type":"book-chapter","created":{"date-parts":[[2014,7,31]],"date-time":"2014-07-31T18:17:11Z","timestamp":1406830631000},"page":"325-332","source":"Crossref","is-referenced-by-count":1,"title":["Mathematical Software for Modified Bessel Functions"],"prefix":"10.1007","author":[{"given":"Juri","family":"Rappoport","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"51_CR1","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/0377-0427(94)00052-3","volume":"61","author":"U.T. Ehrenmark","year":"1995","unstructured":"Ehrenmark, U.T.: The numerical inversion of two classes of Kontorovich-Lebedev transform by direct quadrature. J. of Comp. and Appl. Math.\u00a061, 43\u201372 (1995)","journal-title":"J. of Comp. and Appl. Math."},{"issue":"1","key":"51_CR2","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1016\/S0377-0427(03)00596-X","volume":"161","author":"B.R. Fabijonas","year":"2003","unstructured":"Fabijonas, B.R., Lozier, D.W., Rappoport, J.M.: Algorithms and codes for the Macdonald function: Recent progress and comparisons. Journ. Comput. Appl. Math.\u00a0161(1), 179\u2013192 (2003)","journal-title":"Journ. Comput. Appl. Math."},{"key":"51_CR3","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1007\/s10543-005-0036-x","volume":"46","author":"W. Gautschi","year":"2006","unstructured":"Gautschi, W.: Computing the Kontorovich-Lebedev integral transforms and their inverses. BIT Numer. Math.\u00a046, 21\u201340 (2006)","journal-title":"BIT Numer. Math."},{"key":"51_CR4","doi-asserted-by":"crossref","unstructured":"Gil, A., Segura, J., Temme, N.M.: Numerical methods for special functions. SIAM (2007)","DOI":"10.1137\/1.9780898717822"},{"issue":"2","key":"51_CR5","first-page":"102","volume":"35","author":"T. Kiyono","year":"1973","unstructured":"Kiyono, T., Murashima, S.: A method of evaluation of the function K\n                  is(x). Mem. Fac. Engr. Kyoto Univ.\u00a035(2), 102\u2013127 (1973)","journal-title":"Mem. Fac. Engr. Kyoto Univ."},{"key":"51_CR6","unstructured":"Lebedev, N.N., Skalskaya, I.P.: Some integral transforms related to Kontorovitch\u2013 Lebedev transforms, The questions of the mathematical physics, Leningrad, Nauka, 68\u201379 (1976) (in Russian)"},{"key":"51_CR7","volume-title":"Mathematical functions and their approximations","author":"Y.L. Luke","year":"1975","unstructured":"Luke, Y.L.: Mathematical functions and their approximations. Academic Press, New York (1975)"},{"key":"51_CR8","unstructured":"Olver, F., Lozier, D., Boisvert, R., Clark, C. (eds.): NIST Handbook of mathematical functions. Cambridge University Press (2010)"},{"key":"51_CR9","unstructured":"Rappoport, J.M.: Tables of modified Bessel functions K\n                  1\/2\u2009+\u2009i\u03c4\n                  (x), Nauka, Moscow (1979) (in Russian)"},{"key":"51_CR10","unstructured":"Rappoport, J.M.: The programs and some methods of the Macdonald\u2019s function computation. OVM AN U.S.S.R., Moscow (1991) (in Russian)"},{"key":"51_CR11","unstructured":"Rappoport, J.M.: Some results for modified Kontorovitch\u2013Lebedev integral transforms. In: Proceedings of the 7th International Colloquium on Finite or Infinite Dimensional Complex Analysis, pp. 473\u2013477. Marcel Dekker Inc (2000)"},{"issue":"3\/4","key":"51_CR12","doi-asserted-by":"publisher","first-page":"399","DOI":"10.1016\/S0898-1221(00)00282-0","volume":"41","author":"J.M. Rappoport","year":"2001","unstructured":"Rappoport, J.M.: The canonical vector-polynomials at computation of the Bessel functions of the complex order. Comput. Math. Appl.\u00a041(3\/4), 399\u2013406 (2001)","journal-title":"Comput. Math. Appl."},{"key":"51_CR13","doi-asserted-by":"crossref","unstructured":"Rappoport, J.M.: Some numerical quadrature algorithms for the computation of the Macdonald function. In: Proceedings of the Third ISAAC Congress. Progress in Analysis, vol. 2, pp. 1223\u20131230. World Scientific Publishing (2003)","DOI":"10.1142\/9789812794253_0141"},{"key":"51_CR14","doi-asserted-by":"crossref","unstructured":"Rappoport, J.M.: Dual integral equations for some mixed boundary value problems. In: Proceedings of the 4th ISAAC Congress. Advances in Analysis, pp. 167\u2013176. World Scientific Publishing (2005)","DOI":"10.1142\/9789812701732_0012"},{"key":"51_CR15","first-page":"454","volume":"25","author":"J.M. Rappoport","year":"2006","unstructured":"Rappoport, J.M.: The properties, inequalities and numerical approximation of modified Bessel function. Electronic Transactions on Numerical Analysis\u00a025, 454\u2013466 (2006)","journal-title":"Electronic Transactions on Numerical Analysis"},{"issue":"1","key":"51_CR16","doi-asserted-by":"publisher","first-page":"2020017","DOI":"10.1002\/pamm.200700100","volume":"7","author":"J.M. Rappoport","year":"2007","unstructured":"Rappoport, J.M.: Some numerical methods for approximation of modified Bessel functions. Proc. Appl. Math. Mech.\u00a07(1), 2020017\u20132020018 (2007)","journal-title":"Proc. Appl. Math. Mech."},{"key":"51_CR17","doi-asserted-by":"crossref","unstructured":"Rappoport, J.M.: About modified Kontorovitch\u2013Lebedev integral transforms and their kernels, Imperial College of Science, Technology and Medicine, Department of Mathematics, London, preprint 09P\/001, 31p. (2009)","DOI":"10.1142\/9789814313179_0039"},{"key":"51_CR18","doi-asserted-by":"crossref","unstructured":"Rappoport, J.M.: Some integral equations with modified Bessel function. In: Proceedings of the 5th ISAAC Congress. More Progresses in Analysis, pp. 269\u2013278. World Scientific Publishing (2009)","DOI":"10.1142\/9789812835635_0025"},{"key":"51_CR19","unstructured":"Rappoport, J.M.: Chebyshev polynomial approximations for some hypergeometric systems, Isaac Newton Institute of Mathematical Sciences, Cambridge, preprint NI09059-DIS, 8p. (2009)"},{"key":"51_CR20","doi-asserted-by":"publisher","first-page":"324","DOI":"10.1016\/0021-9991(75)90082-0","volume":"17","author":"N.M. Temme","year":"1975","unstructured":"Temme, N.M.: On the numerical evaluation of the modified bessel function of the third kind. J. of Comp. Phys.\u00a017, 324\u2013337 (1975)","journal-title":"J. of Comp. Phys."},{"key":"51_CR21","doi-asserted-by":"publisher","DOI":"10.1142\/9789812831064","volume-title":"Index Transforms","author":"S.B. Yakubovich","year":"1996","unstructured":"Yakubovich, S.B.: Index Transforms. World Scientific Publishing, Singapore (1996)"},{"issue":"1","key":"51_CR22","doi-asserted-by":"crossref","first-page":"93","DOI":"10.7494\/OpMath.2009.29.1.93","volume":"29","author":"S.B. Yakubovich","year":"2009","unstructured":"Yakubovich, S.B.: Beurling\u2019s theorems and inversion formulas for certain index transforms. Opuscula Mathematica\u00a029(1), 93\u2013110 (2009)","journal-title":"Opuscula Mathematica"},{"key":"51_CR23","unstructured":"Zurina, M.I., Karmazina, L.N.: Tables of modified Bessel functions with imaginary index. VC AN U.S.S.R., Moscow (1967) (in Russian)"}],"container-title":["Lecture Notes in Computer Science","Mathematical Software \u2013 ICMS 2014"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-662-44199-2_51","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,27]],"date-time":"2019-05-27T09:36:01Z","timestamp":1558949761000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-662-44199-2_51"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"ISBN":["9783662441985","9783662441992"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/978-3-662-44199-2_51","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2014]]}}}