Irmak, Hüseyin An extensive result containing certain analytic functions and some of its implications. (English) Zbl 1474.35219 Sarajevo J. Math. 16(29), No. 2, 227-235 (2020). Summary: In this note, an extensive result consisting of analytic functions will firstly be constituted and it will then be proven by means of the well-known assertions. As it was detailed in several works, several special results concerning analytic and geometric properties of certain complex valued functions will also be created as some of related implications of the main result. Finally, for other possible implications pertaining to the results given by several authors, a large number of conclusions and recommendations will be pointed out in the last section. MSC: 35G10 Initial value problems for linear higher-order PDEs 35F05 Linear first-order PDEs 30C55 General theory of univalent and multivalent functions of one complex variable 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) 30A10 Inequalities in the complex plane Keywords:complex plane; domains in the complex plane; equations and inequalities in the complex plane; analytic functions; multivalent functions; meromorphically (multivalent) functions; Taylor-Maclaurin series expansion PDFBibTeX XMLCite \textit{H. Irmak}, Sarajevo J. Math. 16(29), No. 2, 227--235 (2020; Zbl 1474.35219) References: [1] M. P. Chen and S. Owa, Distortion theorems for alpha-starlike functions, Kyungpook Math. J., 31 (2) (1991), 155-159. · Zbl 0757.30009 [2] N. E. Cho and J. An. Kim, On a sufficient condition and angular estimation forφ−like functions, Taiwanese J. Math., 2 (4) (1998), 397-403. · Zbl 0921.30008 [3] P. L. 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