On a class of analytic functions governed by subordination
The purpose of this paper is to introduce a class of functions ℱλ, λ ∈ [0, 1], consisting of analytic functions f normalized by f(0) = f´(0) − 1 = 0 in the open unit disk U which satisfies the subordination condition that
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| Format: | Article |
| Language: | English |
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Sciendo
2019-08-01
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| Series: | Acta Universitatis Sapientiae: Mathematica |
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| Online Access: | https://doi.org/10.2478/ausm-2019-0012 |
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doaj-120ef31aeb23444a8c898a3ed9accb202021-09-06T19:41:26ZengSciendoActa Universitatis Sapientiae: Mathematica2066-77522019-08-0111114415510.2478/ausm-2019-0012ausm-2019-0012On a class of analytic functions governed by subordinationRaina Ravinder Krishna0Sokół Janusz1M. P. University of Agriculture and Technology, Udaipur, IndiaFaculty of Mathematics and Natural Sciences, University of Rzeszów, PolandThe purpose of this paper is to introduce a class of functions ℱλ, λ ∈ [0, 1], consisting of analytic functions f normalized by f(0) = f´(0) − 1 = 0 in the open unit disk U which satisfies the subordination condition thathttps://doi.org/10.2478/ausm-2019-0012analytic functionsconvex functionsstarlike functionsdifferential subordinationradius of starlikenessradius of convexity30c45 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Raina Ravinder Krishna Sokół Janusz |
| spellingShingle |
Raina Ravinder Krishna Sokół Janusz On a class of analytic functions governed by subordination Acta Universitatis Sapientiae: Mathematica analytic functions convex functions starlike functions differential subordination radius of starlikeness radius of convexity 30c45 |
| author_facet |
Raina Ravinder Krishna Sokół Janusz |
| author_sort |
Raina Ravinder Krishna |
| title |
On a class of analytic functions governed by subordination |
| title_short |
On a class of analytic functions governed by subordination |
| title_full |
On a class of analytic functions governed by subordination |
| title_fullStr |
On a class of analytic functions governed by subordination |
| title_full_unstemmed |
On a class of analytic functions governed by subordination |
| title_sort |
on a class of analytic functions governed by subordination |
| publisher |
Sciendo |
| series |
Acta Universitatis Sapientiae: Mathematica |
| issn |
2066-7752 |
| publishDate |
2019-08-01 |
| description |
The purpose of this paper is to introduce a class of functions ℱλ, λ ∈ [0, 1], consisting of analytic functions f normalized by f(0) = f´(0) − 1 = 0 in the open unit disk U which satisfies the subordination condition that |
| topic |
analytic functions convex functions starlike functions differential subordination radius of starlikeness radius of convexity 30c45 |
| url |
https://doi.org/10.2478/ausm-2019-0012 |
| work_keys_str_mv |
AT rainaravinderkrishna onaclassofanalyticfunctionsgovernedbysubordination AT sokołjanusz onaclassofanalyticfunctionsgovernedbysubordination |
| _version_ |
1717766193102716928 |