Starlike and close-to-convex the neighborhoods of meromorphicfunctions | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2009. № 2 (6).

HomeIssuesStarlike and close-to-convex the neighborhoods of meromorphicfunctions | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2009. № 2 (6).

Starlike and close-to-convex the neighborhoods of meromorphicfunctions

In the article are the sufficient conditions starlike of order ƒ andclose-to-convex the neighborhoods of meromorphic functions in the unit circle, which have simplepole in the centre of the circle.

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Keywords

почти выпуклые окрестности, мероморфные функции, звездообразные окрестности, functions, starlike, close-to-convex, univalent, meromorphic, circle, condition, class, convolution

Authors

NameOrganizationE-mail
Sizhuk P.I.sv.petrovich@gmail.com
Sizhuk T.P.sv.petrovich@gmail.com
Всего: 2

References

Libera R.J. and Robertson M.S. Meromorphic close-to-convex functions // Michigan. Math. J. 1961. V. 8. P. 167 - 175.
Robertson M.S. On the theory of univalent functions // Ann. Math. 1936. V. 37. P. 374 - 408.
Александров И.А. Методы геометрической теории функций. Томск: Томский государственный университет, 2001. - 220 с.
Ruscheveyh Stephan. Neighborhoods of univalent functions // Proc. Amer. Math. Soc. 1981. V. 81. No. 4. P. 521 - 527.
Starlike and close-to-convex the neighborhoods of meromorphicfunctions | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2009. № 2 (6).

Starlike and close-to-convex the neighborhoods of meromorphicfunctions | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2009. № 2 (6).

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