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Read  full  paper  at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=54044#.VOBRPizQrzE Author(s)  Jae Ho Choi *   Affiliation(s) Department of Mathematics Education, Daegu National University of Education, Daegu, South Korea . ABSTRACT The object of the present paper is to investigate various argument results of analytic and multivalent functions which are defined by using a certain fractional derivative operator. Some interesting applications are also considered. KEYWORDS Multivalent Analytic Functions , Argument , Integral Operator , Fractional Derivative Operator Cite this paper Choi, J. (2015) Argument Estimates of Multivalent Functions Involving a Certain Fractional Derivative Operator. Advances in Pure Mathematics , 5 , 88-92. doi: 10.4236/apm.2015.52011 .   References [ 1 ] Srivastava, H.M. and Buschman, R.G. (1992) Theory and Applications of Convolution Integral Equations. Kluwer Academi...

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52590#.VJujVcCAM4 Author(s)    Ismail Ibragimovich Safarov , Maqsud Sharipovich Akhmedov , Zafar Ihterovich Boltaev Affiliation(s) Bukhara Technological-Institute of Engineering, Bukhara, Republic of Uzbekistan . ABSTRACT The main features are the length of the waveguide in one direction, as well as limitations and localization of the wave beam in other areas. There is described the technique of the solution of tasks on distribution of waves in an infinite cylindrical waveguide with a radial crack. Also numerical results are given in the article. Viscous properties of the material are taken into account by means of an i...