{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T02:16:34Z","timestamp":1648606594166},"reference-count":19,"publisher":"Hindawi Limited","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":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>In this paper we consider a subclass of strongly spirallike functions on the unit disk<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>D<\/mml:mi><\/mml:mrow><\/mml:math>in the complex plane<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi mathvariant=\"double-struck\">C<\/mml:mi><\/mml:mrow><\/mml:math>, namely, strongly almost spirallike functions of type<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><mml:mi>\u03b2<\/mml:mi><\/mml:mrow><\/mml:math>and order<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mrow><mml:mi>\u03b1<\/mml:mi><\/mml:mrow><\/mml:math>. We obtain the growth results for strongly almost spirallike functions of type<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mrow><mml:mi>\u03b2<\/mml:mi><\/mml:mrow><\/mml:math>and order<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M6\"><mml:mrow><mml:mi>\u03b1<\/mml:mi><\/mml:mrow><\/mml:math>on the unit disk<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M7\"><mml:mrow><mml:mi>D<\/mml:mi><\/mml:mrow><\/mml:math>in<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M8\"><mml:mrow><mml:mi mathvariant=\"double-struck\">C<\/mml:mi><\/mml:mrow><\/mml:math>by using subordination principles and the geometric properties of analytic mappings. Furthermore we get the growth theorems for strongly almost starlike functions of order<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M9\"><mml:mrow><mml:mi>\u03b1<\/mml:mi><\/mml:mrow><\/mml:math>and strongly starlike functions on the unit disk<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M10\"><mml:mrow><mml:mi>D<\/mml:mi><\/mml:mrow><\/mml:math>of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M11\"><mml:mrow><mml:mi mathvariant=\"double-struck\">C<\/mml:mi><\/mml:mrow><\/mml:math>. These growth results follow the deviation results of these functions.<\/jats:p>","DOI":"10.1155\/2014\/608641","type":"journal-article","created":{"date-parts":[[2014,8,12]],"date-time":"2014-08-12T17:12:53Z","timestamp":1407863573000},"page":"1-8","source":"Crossref","is-referenced-by-count":0,"title":["Growth Theorems for a Subclass of Strongly Spirallike Functions"],"prefix":"10.1155","volume":"2014","author":[{"given":"Yan-Yan","family":"Cui","sequence":"first","affiliation":[{"name":"College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou, Henan 466001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chao-Jun","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou, Henan 466001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Si-Feng","family":"Zhu","sequence":"additional","affiliation":[{"name":"College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou, Henan 466001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"key":"1","year":"1983"},{"key":"2","first-page":"129","volume-title":"Sur la possibilite d'entendre aux fonctions de plusieurs variables complexes la theorie des fonctions univalents","year":"1933"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1991.150.13"},{"issue":"1","key":"4","first-page":"100","volume":"11","year":"1990","journal-title":"Chinese Annals of Mathematics B"},{"issue":"2","key":"5","doi-asserted-by":"crossref","first-page":"347","DOI":"10.2140\/pjm.1996.174.347","volume":"174","year":"1996","journal-title":"Pacific Journal of Mathematics"},{"issue":"4","key":"6","first-page":"401","volume":"19","year":"1998","journal-title":"Chinese Annals of Mathematics B"},{"issue":"5","key":"7","first-page":"533","volume":"21","year":"2000","journal-title":"Chinese Annals of Mathematics"},{"issue":"2","key":"8","first-page":"50","volume":"15","year":"2000","journal-title":"Chinese Quarterly Journal of Mathematics. 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