ON SOME CLASSES OF DOUBLY NEARLY CONVEX FUNCTIONS
ЕКІ ЕСЕ ДЕРЛІК ДӨҢЕС ФУНКЦИЯЛАРДЫҢ КЕЙБІР КЛАСТАРЫ ТУРАЛЫ
О НЕКОТОРЫХ КЛАССАХ ДВАЖДЫ ПОЧТИ ВЫПУКЛЫХ ФУНКЦИЙ
Maiyer F.F. Tastanov M.G. Utemissova A.A. Ysmagul R.S.
2025Kazakh-British Technical University
Herald of the Kazakh British Technical UNiversity
2025#22Issue 2165 - 176 pp.
Based on the results obtained by the authors in one of the previous articles (Bulletin of the Kazakh-British Technical University, 2024, 21(2), pp.127-138), the class of doubly close-to-convex in the unit disk of the functions f(z), set using the conditions where the functions f(z), g(z) and h(z) have expansions of the form, and the function h(z) is convex. In this class, the theorems of distortion, rotation and radius of convexity are established. In particular cases, we obtain both a number of previously known and a number of new original results for doubly close-to-convex and close-to-convex functions. Based on this class, a class of doubly close-to-starlike functions is introduced, for which the growth theorem and the star radius are found. For specific values of the parameters previously known results for close-to-starlike functions are obtained.
close-to-convex functions , close-to-starlike functions , radius of convexity , radius of starlikeness , univalent functions
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Akhmet Baitursynuly Kostanay Regional University, Kostanay, Kazakhstan
Akhmet Baitursynuly Kostanay Regional University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026