{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,9]],"date-time":"2025-05-09T15:14:31Z","timestamp":1746803671494,"version":"3.40.5"},"reference-count":16,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>We introduce new classes<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mi>M<\/mml:mi><mml:msubsup><mml:mrow><mml:mi>H<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>k<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>\u03c3<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>s<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>\u03bb<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>\u03b4<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>\u03b1<\/mml:mi><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:math>and<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mover><mml:mrow><mml:mi>M<\/mml:mi><\/mml:mrow><mml:mo>\u00af<\/mml:mo><\/mml:mover><mml:msubsup><mml:mrow><mml:mi>H<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>k<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>\u03c3<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>s<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>\u03bb<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>\u03b4<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>\u03b1<\/mml:mi><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:math>of harmonic univalent functions with respect to<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mrow><mml:mi>k<\/mml:mi><\/mml:mrow><\/mml:math>-symmetric points defined by differential operator. We determine a sufficient coefficient condition, representation theorem, and distortion theorem.<\/jats:p>","DOI":"10.1155\/2014\/628972","type":"journal-article","created":{"date-parts":[[2014,7,23]],"date-time":"2014-07-23T18:32:28Z","timestamp":1406140348000},"page":"1-6","source":"Crossref","is-referenced-by-count":0,"title":["On Harmonic Functions Defined by Differential Operator with Respect to<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>k<\/mml:mi><\/mml:mrow><\/mml:math>-Symmetric Points"],"prefix":"10.1155","volume":"2014","author":[{"given":"Afaf A. Ali","family":"Abubaker","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor D. 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