{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:40:46Z","timestamp":1753886446068,"version":"3.41.2"},"reference-count":3,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,2,24]],"date-time":"2011-02-24T00:00:00Z","timestamp":1298505600000},"content-version":"vor","delay-in-days":54,"URL":"https:\/\/2.zoppoz.workers.dev:443\/http\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2011,1]]},"abstract":"<jats:p>We establish a principle of deformation of an arbitrary planar curve, so that the\nintegral of a harmonic function over this curve does not change. The equations of deformation\ncan be derived from a specific \u201cpotential.\u201d Several applications are presented.<\/jats:p>","DOI":"10.1155\/2011\/141209","type":"journal-article","created":{"date-parts":[[2011,2,24]],"date-time":"2011-02-24T19:32:07Z","timestamp":1298575927000},"update-policy":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Harmonic Deformation of Planar Curves"],"prefix":"10.1155","volume":"2011","author":[{"given":"Eleutherius","family":"Symeonidis","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2011,2,24]]},"reference":[{"key":"e_1_2_4_1_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002\u20109939\u20101964\u20100203036\u20107"},{"key":"e_1_2_4_2_2","first-page":"242","article-title":"The Poisson integral for the interior of a hyperbola","volume":"27","author":"Symeonidis E.","year":"2010","journal-title":"Journal of Nanjing University (Mathematical Biquarterly)"},{"key":"e_1_2_4_3_2","series-title":"University of Arkansas Lecture Notes in the Mathematical Sciences","volume-title":"The Schwarz Function and Its Generalization to Higher Dimensions","author":"Shapiro H. S.","year":"1992"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/2.zoppoz.workers.dev:443\/http\/downloads.hindawi.com\/journals\/ijmms\/2011\/141209.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/2.zoppoz.workers.dev:443\/http\/downloads.hindawi.com\/journals\/ijmms\/2011\/141209.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2011\/141209","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,10]],"date-time":"2024-06-10T13:49:09Z","timestamp":1718027349000},"score":1,"resource":{"primary":{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/onlinelibrary.wiley.com\/doi\/10.1155\/2011\/141209"}},"subtitle":[],"editor":[{"given":"Aloys","family":"Krieg","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2011,1]]},"references-count":3,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,1]]}},"alternative-id":["10.1155\/2011\/141209"],"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1155\/2011\/141209","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2011,1]]},"assertion":[{"value":"2010-11-13","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-01-17","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-02-24","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"141209"}}