On q-analogue of Janowski-type starlike functions with respect to symmetric points
The main objective of the present paper is to define a class of qq-starlike functions with respect to symmetric points in circular domain. Some interesting results of these functions have been evaluated in this article. The sufficiency criteria in the form of convolutions are evaluated. Furthermore,...
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De Gruyter
2021
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oai:doaj.org-article:dc1f1146604e4c1ca8d4cb15b183c5532021-12-05T14:10:45ZOn q-analogue of Janowski-type starlike functions with respect to symmetric points2391-466110.1515/dema-2021-0008https://doaj.org/article/dc1f1146604e4c1ca8d4cb15b183c5532021-04-01T00:00:00Zhttps://doi.org/10.1515/dema-2021-0008https://doaj.org/toc/2391-4661The main objective of the present paper is to define a class of qq-starlike functions with respect to symmetric points in circular domain. Some interesting results of these functions have been evaluated in this article. The sufficiency criteria in the form of convolutions are evaluated. Furthermore, other geometric properties such as coefficient bounds, distortion theorem, closure theorem and extreme point theorem are also obtained for these newly defined functions.Khan Muhammad GhaffarAhmad BakhtiarKhan RaeesZubair MuhammadSalleh ZabidinDe Gruyterarticleholomorphic functionsjanowski functionsstarlike functionssubordinations30c4530c50MathematicsQA1-939ENDemonstratio Mathematica, Vol 54, Iss 1, Pp 37-46 (2021) |
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holomorphic functions janowski functions starlike functions subordinations 30c45 30c50 Mathematics QA1-939 |
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holomorphic functions janowski functions starlike functions subordinations 30c45 30c50 Mathematics QA1-939 Khan Muhammad Ghaffar Ahmad Bakhtiar Khan Raees Zubair Muhammad Salleh Zabidin On q-analogue of Janowski-type starlike functions with respect to symmetric points |
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The main objective of the present paper is to define a class of qq-starlike functions with respect to symmetric points in circular domain. Some interesting results of these functions have been evaluated in this article. The sufficiency criteria in the form of convolutions are evaluated. Furthermore, other geometric properties such as coefficient bounds, distortion theorem, closure theorem and extreme point theorem are also obtained for these newly defined functions. |
format |
article |
author |
Khan Muhammad Ghaffar Ahmad Bakhtiar Khan Raees Zubair Muhammad Salleh Zabidin |
author_facet |
Khan Muhammad Ghaffar Ahmad Bakhtiar Khan Raees Zubair Muhammad Salleh Zabidin |
author_sort |
Khan Muhammad Ghaffar |
title |
On q-analogue of Janowski-type starlike functions with respect to symmetric points |
title_short |
On q-analogue of Janowski-type starlike functions with respect to symmetric points |
title_full |
On q-analogue of Janowski-type starlike functions with respect to symmetric points |
title_fullStr |
On q-analogue of Janowski-type starlike functions with respect to symmetric points |
title_full_unstemmed |
On q-analogue of Janowski-type starlike functions with respect to symmetric points |
title_sort |
on q-analogue of janowski-type starlike functions with respect to symmetric points |
publisher |
De Gruyter |
publishDate |
2021 |
url |
https://doaj.org/article/dc1f1146604e4c1ca8d4cb15b183c553 |
work_keys_str_mv |
AT khanmuhammadghaffar onqanalogueofjanowskitypestarlikefunctionswithrespecttosymmetricpoints AT ahmadbakhtiar onqanalogueofjanowskitypestarlikefunctionswithrespecttosymmetricpoints AT khanraees onqanalogueofjanowskitypestarlikefunctionswithrespecttosymmetricpoints AT zubairmuhammad onqanalogueofjanowskitypestarlikefunctionswithrespecttosymmetricpoints AT sallehzabidin onqanalogueofjanowskitypestarlikefunctionswithrespecttosymmetricpoints |
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1718371771588018176 |