Functions starlike with respect to other points
In [7], Sakaguchi introduce the class of functions starlike with respect to symmetric points. We extend this class. For p≤β<1, let SS*(β) be the class of normalised analytic functions f defined in the open unit disc D such that Rezf′(z)/(f(z)−f(−z))>β, for some z ϵ D. In this paper, we introdu...
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| Format: | Article |
| Language: | English |
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Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171291000613 |
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| _version_ | 1832556583184236544 |
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| author | S. Abdul Halim |
| author_facet | S. Abdul Halim |
| author_sort | S. Abdul Halim |
| collection | DOAJ |
| description | In [7], Sakaguchi introduce the class of functions starlike with respect
to symmetric points. We extend this class. For p≤β<1, let SS*(β) be the
class of normalised analytic functions f defined in the open unit disc D such
that Rezf′(z)/(f(z)−f(−z))>β, for some z ϵ D. In this paper, we introduce 2
other similar classes SC*(β), SSC*(β) as well as give sharp results for the real
part of some function for f ϵ SS*(β), SC*(β) and SSC*(β) The behaviour of certain
integral operators are also considered. |
| format | Article |
| id | doaj-art-f8656e2dd8164a5f86e9e447136306c9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f8656e2dd8164a5f86e9e447136306c92025-02-03T05:45:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114345145610.1155/S0161171291000613Functions starlike with respect to other pointsS. Abdul Halim0Dept. of Mathematics, University of Malaya, Kuala Lumpur 59100, MalaysiaIn [7], Sakaguchi introduce the class of functions starlike with respect to symmetric points. We extend this class. For p≤β<1, let SS*(β) be the class of normalised analytic functions f defined in the open unit disc D such that Rezf′(z)/(f(z)−f(−z))>β, for some z ϵ D. In this paper, we introduce 2 other similar classes SC*(β), SSC*(β) as well as give sharp results for the real part of some function for f ϵ SS*(β), SC*(β) and SSC*(β) The behaviour of certain integral operators are also considered.http://dx.doi.org/10.1155/S0161171291000613starlike functions of order βfunctions starlike with respect to symmetrical pointsclose-to-convexintegral operators. |
| spellingShingle | S. Abdul Halim Functions starlike with respect to other points International Journal of Mathematics and Mathematical Sciences starlike functions of order β functions starlike with respect to symmetrical points close-to-convex integral operators. |
| title | Functions starlike with respect to other points |
| title_full | Functions starlike with respect to other points |
| title_fullStr | Functions starlike with respect to other points |
| title_full_unstemmed | Functions starlike with respect to other points |
| title_short | Functions starlike with respect to other points |
| title_sort | functions starlike with respect to other points |
| topic | starlike functions of order β functions starlike with respect to symmetrical points close-to-convex integral operators. |
| url | http://dx.doi.org/10.1155/S0161171291000613 |
| work_keys_str_mv | AT sabdulhalim functionsstarlikewithrespecttootherpoints |