{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,13]],"date-time":"2025-05-13T22:38:33Z","timestamp":1747175913723,"version":"3.40.5"},"reference-count":20,"publisher":"Informa UK Limited","issue":"9","content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["The American Mathematical Monthly"],"published-print":{"date-parts":[[2022,10,21]]},"DOI":"10.1080\/00029890.2022.2105054","type":"journal-article","created":{"date-parts":[[2022,8,18]],"date-time":"2022-08-18T12:30:10Z","timestamp":1660825810000},"page":"816-830","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":0,"title":["Finding a Compositional Square Root of Sine"],"prefix":"10.1080","volume":"129","author":[{"given":"Tongtong","family":"Chen","sequence":"first","affiliation":[{"name":"Department of Mathematics, Johns Hopkins University, Baltimore, MD 21218, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4124-7838","authenticated-orcid":false,"given":"Edward","family":"Scheinerman","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, MD 21218, USA"}]}],"member":"301","published-online":{"date-parts":[[2022,8,18]]},"reference":[{"key":"CIT0001","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/44\/40\/405205"},{"key":"CIT0002","unstructured":"\u00c9calle, J. (2020). Personal communication."},{"key":"CIT0003","doi-asserted-by":"publisher","DOI":"10.1142\/8934"},{"key":"CIT0004","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1950-038-8"},{"key":"CIT0005","unstructured":"Kindermann, L. (2004). Iterative roots and fractional iteration. Available at: reglos.de\/lars\/ffx.html"},{"key":"CIT0006","doi-asserted-by":"publisher","DOI":"10.1515\/crll.1950.187.56"},{"key":"CIT0007","unstructured":"Kosaraju, S. R. (2020). Personal communication."},{"key":"CIT0008","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139086639"},{"key":"CIT0009","doi-asserted-by":"publisher","DOI":"10.1007\/BF02591136"},{"key":"CIT0010","unstructured":"OEIS Foundation Inc. (2021). The On-Line Encyclopedia of Integer Sequences. Available at: oeis.org"},{"volume-title":"The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order","year":"2006","author":"Oldham K. B.","key":"CIT0011"},{"key":"CIT0012","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1980.11995008"},{"volume-title":"Frational Graph Theory: A Rational Approach to the Theory of Graphs","year":"2011","author":"Scheinerman E. R.","key":"CIT0013"},{"key":"CIT0014","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1956-008-4"},{"key":"CIT0015","unstructured":"Weisstein, E. W. (2021). Fractional calculus. From MathWorld\u2013A Wolfram Web Resource. Available at: mathworld.wolfram.com\/FractionalCalculus.html"},{"key":"CIT0016","unstructured":"Weisstein, E. W. (2021). Semiderivative. From MathWorld\u2013A Wolfram Web Resource. Available at: mathworld.wolfram.com\/Semiderivative.html"},{"key":"CIT0017","unstructured":"Wikipedia (2021). Amorphous set. Available at: wikipedia.org\/wiki\/Amorphous_set"},{"key":"CIT0018","unstructured":"Wikipedia (2021). Fractional calculus. Available at: wikipedia.org\/wiki\/Fractional_calculus"},{"key":"CIT0019","unstructured":"Wikipedia (2021). Functional square root. Available at:wikipedia.org\/wiki\/Functional_square_root"},{"key":"CIT0020","unstructured":"Wikipedia (2021). Half-exponential function. Available at: wikipedia.org\/wiki\/Half-exponential_function"}],"container-title":["The American Mathematical Monthly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/00029890.2022.2105054","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,10,24]],"date-time":"2022-10-24T10:02:00Z","timestamp":1666605720000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/00029890.2022.2105054"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8,18]]},"references-count":20,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2022,10,21]]}},"alternative-id":["10.1080\/00029890.2022.2105054"],"URL":"https:\/\/doi.org\/10.1080\/00029890.2022.2105054","relation":{},"ISSN":["0002-9890","1930-0972"],"issn-type":[{"type":"print","value":"0002-9890"},{"type":"electronic","value":"1930-0972"}],"subject":[],"published":{"date-parts":[[2022,8,18]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uamm20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uamm20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2020-12-18","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-08-09","order":1,"name":"revised","label":"Revised","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-08-09","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2022-08-18","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}