{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T04:56:09Z","timestamp":1769835369354,"version":"3.49.0"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2021,1,3]],"date-time":"2021-01-03T00:00:00Z","timestamp":1609632000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,3]],"date-time":"2021-01-03T00:00:00Z","timestamp":1609632000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Constr Approx"],"published-print":{"date-parts":[[2021,2]]},"DOI":"10.1007\/s00365-020-09523-0","type":"journal-article","created":{"date-parts":[[2021,1,3]],"date-time":"2021-01-03T19:03:06Z","timestamp":1609700586000},"page":"1-38","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Orthogonal Polynomials with Ultra-Exponential Weight Functions: An Explicit Solution to the Ditkin\u2013Prudnikov Problem"],"prefix":"10.1007","volume":"53","author":[{"given":"S.","family":"Yakubovich","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,1,3]]},"reference":[{"key":"9523_CR1","volume-title":"An Introduction to Orthogonal Polynomials","author":"TS Chihara","year":"1978","unstructured":"Chihara, T.S.: An Introduction to Orthogonal Polynomials. Gordon and Breach, New York, London (1978)"},{"key":"9523_CR2","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1016\/S0377-0427(00)00648-8","volume":"133","author":"E Coussement","year":"2001","unstructured":"Coussement, E., Van Assche, W.: Some properties of multiple orthogonal polynomials associated with Macdonald functions. J. Comput. Appl. Math. 133, 253\u2013261 (2001)","journal-title":"J. Comput. Appl. Math."},{"issue":"4","key":"9523_CR3","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1080\/10652460410001673013","volume":"15","author":"G Dattoli","year":"2004","unstructured":"Dattoli, G., Ricci, P.E., Khomasuridze, I.: Operational methods, special polynomial and functions and solution of partial differential equations. Integral Transf. Spec. Funct. 15(4), 309\u2013321 (2004)","journal-title":"Integral Transf. Spec. Funct."},{"key":"9523_CR4","unstructured":"Ditkin, V.A., Prudnikov, A.P.: Integral transforms. Mathematical analysis, 1966, 7-82. Akad. Nauk SSSR Inst. Nauchn. Informacii, Moscow, 1967 (in Russian)"},{"key":"9523_CR5","unstructured":"Erd\u00e9lyi, A., Magnus, W., Oberhettinger, F., Tricomi, F.G.: Higher Transcendental Functions, Vols. I and II. McGraw-Hill, New York, London, Toronto (1953)"},{"key":"9523_CR6","doi-asserted-by":"publisher","first-page":"582","DOI":"10.1214\/aop\/1176995766","volume":"5","author":"MEH Ismail","year":"1977","unstructured":"Ismail, M.E.H.: Bessel functions and the infinite divisibility of the student $$t$$-distribution. Ann. Prob. 5, 582\u2013585 (1977)","journal-title":"Ann. Prob."},{"key":"9523_CR7","doi-asserted-by":"publisher","first-page":"759","DOI":"10.1007\/s00220-014-2064-3","volume":"332","author":"ABJ Kuijlaars","year":"2014","unstructured":"Kuijlaars, A.B.J., Zhang, L.: Singular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard eddge scaling limits. Commun. Math. Phys. 332, 759\u2013781 (2014)","journal-title":"Commun. Math. Phys."},{"issue":"3","key":"9523_CR8","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1080\/10652469.2012.672325","volume":"24","author":"AF Loureiro","year":"2013","unstructured":"Loureiro, A.F., Yakubovich, S.: Central factorials under the Kontorovich\u2013Lebedev transform of polynomials. Integral Transf. Spec. Funct. 24(3), 217\u2013238 (2013)","journal-title":"Integral Transf. Spec. Funct."},{"key":"9523_CR9","unstructured":"Prudnikov, A.P.: Orthogonal polynomials with ultra-exponential weight functions, in: W. Van Assche (Ed.), Open Problems, J. Comput. Appl. Math. 48, 239-241, (1993)"},{"key":"9523_CR10","unstructured":"Prudnikov, A.P., Brychkov, Yu.A., Marichev, O.I.: Vol. I: Elementary Functions, Gordon and Breach, New York, London, 1986; Vol. II: Special Functions, Gordon and Breach, New York, London, 1986; Vol. III: More Special Functions, Gordon and Breach, New York, London (1990)"},{"key":"9523_CR11","volume-title":"Combinatorial Identities","author":"J Riordan","year":"1968","unstructured":"Riordan, J.: Combinatorial Identities. Wiley, New York (1968)"},{"key":"9523_CR12","volume-title":"An Introduction to the Theory of Fourier Integrals","author":"EC Titchmarsh","year":"1937","unstructured":"Titchmarsh, E.C.: An Introduction to the Theory of Fourier Integrals. Clarendon Press, Oxford (1937)"},{"issue":"3","key":"9523_CR13","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1080\/10652460008819257","volume":"9","author":"W Van Assche","year":"2000","unstructured":"Van Assche, W., Yakubovich, S.: Multiple orthogonal polynomials associated with Macdonald functions. Integral Transf. Spec. Funct. 9(3), 229\u2013244 (2000)","journal-title":"Integral Transf. Spec. Funct."},{"key":"9523_CR14","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1006\/jmaa.1994.1281","volume":"186","author":"OV Viskov","year":"1994","unstructured":"Viskov, O.V., Srivastava, H.M.: New approaches to certain identities involving differential operators. J. Math. Anal. Appl. 186, 1\u201310 (1994)","journal-title":"J. Math. Anal. Appl."},{"key":"9523_CR15","doi-asserted-by":"crossref","unstructured":"Yakubovich, S., Luchko, Y.: The Hypergeometric Approach to Integral Transforms and Convolutions, Kluwer Academic Publishers. Math. Appl. 287, (1994)","DOI":"10.1007\/978-94-011-1196-6_21"}],"container-title":["Constructive Approximation"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00365-020-09523-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00365-020-09523-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00365-020-09523-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,1,25]],"date-time":"2021-01-25T15:59:16Z","timestamp":1611590356000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00365-020-09523-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,3]]},"references-count":15,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,2]]}},"alternative-id":["9523"],"URL":"https:\/\/doi.org\/10.1007\/s00365-020-09523-0","relation":{},"ISSN":["0176-4276","1432-0940"],"issn-type":[{"value":"0176-4276","type":"print"},{"value":"1432-0940","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1,3]]},"assertion":[{"value":"14 November 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 February 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 July 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 January 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}