{"id":27120,"date":"2019-06-26T23:19:58","date_gmt":"2019-06-26T20:19:58","guid":{"rendered":"http:\/\/ihcoedu.uobaghdad.edu.iq\/?p=27120"},"modified":"2019-06-27T12:01:23","modified_gmt":"2019-06-27T09:01:23","slug":"%d9%82%d8%b3%d9%85-%d8%a7%d9%84%d8%b1%d9%8a%d8%a7%d8%b6%d9%8a%d8%a7%d8%aa-%d9%8a%d9%86%d8%a7%d9%82%d8%b4-%d8%a7%d8%b7%d8%b1%d9%88%d8%ad%d8%a9-%d8%af%d9%83%d8%aa%d9%88%d8%b1%d8%a7%d9%87-%d8%aa%d9%86","status":"publish","type":"post","link":"https:\/\/ihcoedu.uobaghdad.edu.iq\/?p=27120","title":{"rendered":"\u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u064a\u0646\u0627\u0642\u0634 \u0627\u0637\u0631\u0648\u062d\u0629 \u062f\u0643\u062a\u0648\u0631\u0627\u0647 \u062a\u0646\u0627\u0642\u0634 \u0628\u0639\u0636 \u0627\u0644\u062f\u0631\u0627\u0633\u0627\u062a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u062f\u0648\u0627\u0644 \u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0648\u0627\u0644\u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062a\u0643\u0627\u0641\u0624"},"content":{"rendered":"

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\"\"<\/h3>\n
\n

Department of Mathematics discusses PhD .Dissertation on SOME STUDIES IN THE THEORY OF UNIVALENT AND MULTIVALENT FUNCTIONS<\/span><\/h3>\n

The student Aqeel\u00a0 Kitab Muzail Al-Khafagy\u00a0 discussed his dissertation on SOME STUDIES IN THE THEORY OF UNIVALENT AND MULTIVALENT FUNCTIONS which supervised by Asst.prof.Dr.Salwa Salman Abid and prof.Dr.WAQAS Ghalib Atshan<\/span><\/h3>\n

The Abstract<\/span><\/h3>\n

The purpose of this thesis is to introduce some problems in the theory of univalent and multivalent functions. It studied integral transforms of a new subclass of meromorphic univalent functions defined by linear operator. Some geometric properties are obtained, like coefficient inequality, convex set, convolution techniques, closure theorem, weighted mean, extreme points, integral transforms of a functions in the class \u00a0and inclusion properly. Our thesis introduced some interesting properties of a novel subclass of multivalent functions with positive coefficients. We have obtained the interesting results, like coefficient estimates, growth and distortion theorems, radii of close-to-convexity, star likeness and convexity, and the Hadamard product for functions in the class \u00a0We have also discussed the neighborhoods and partial sums of a new class of meromorphic multivalent functions defined by fractional calculus. Here, some properties, such as, coefficient inequality, neighborhood property, partial sums are obtained. Generalization of a class of harmonic univalent functions defined by differential operator is introduced and some results, like coefficient bounds, distortion bounds, extreme points, convex combination are obtained. Also, we, investigated on some properties of a class of harmonic multivalent functions defined by an integral operator, some geometric properties, like coefficient estimates, distortion property, extreme points, inclusion results and closure under an integral operator for this class. We have also studied some results of differential subordination and differential superordination theorems for univalent functions that defined by Ruscheweyh derivative operator. We have derive several subordination and super ordination results, and sandwich theorems. Some applications of subordination of a subclass of univalent functions, like coefficient estimates, results of integral means by using differential subordination are obtained. We have also discussed coefficients estimates for certain new sub classes of bi-univalent functions. We have obtained estimates on the initial coefficient \u00a0for the functions in new two sub classes of the functions class \u00a0of bi-univalent functions that defined on the open unit disc Also, we have investigated on coefficient estimates for a new sub classes of m-fold symmetric bi-univalent functions. We have obtained estimates on the initial coefficients for functions in each of these new sub classes. Also we have explain the relation between our results and the earlier known results<\/span><\/h3>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

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