A note on convolution of Janowski type functions with q-derivative
The purpose of the present paper is to introduce and study new subclasses of analytic functions which generalize the classes of Janowski functions with q-derivative. We also study certain a convolution conditions, and apply the convolution conditions to get sufficient condition and the neighborhood...
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| Format: | Article |
| Language: | English |
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Sciendo
2023-11-01
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| Series: | Acta Universitatis Sapientiae: Mathematica |
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| Online Access: | https://doi.org/10.2478/ausm-2023-0001 |
| _version_ | 1797561940800700416 |
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| author | Alsarari F. |
| author_facet | Alsarari F. |
| author_sort | Alsarari F. |
| collection | DOAJ |
| description | The purpose of the present paper is to introduce and study new subclasses of analytic functions which generalize the classes of Janowski functions with q-derivative. We also study certain a convolution conditions, and apply the convolution conditions to get sufficient condition and the neighborhood results related to the functions in the class 𝒮q(A, B, α). |
| first_indexed | 2024-03-10T18:21:45Z |
| format | Article |
| id | doaj.art-5077017ebb104a81be68228294b13070 |
| institution | Directory Open Access Journal |
| issn | 2066-7752 |
| language | English |
| last_indexed | 2024-03-10T18:21:45Z |
| publishDate | 2023-11-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Acta Universitatis Sapientiae: Mathematica |
| spelling | doaj.art-5077017ebb104a81be68228294b130702023-11-20T07:17:10ZengSciendoActa Universitatis Sapientiae: Mathematica2066-77522023-11-0115111110.2478/ausm-2023-0001A note on convolution of Janowski type functions with q-derivativeAlsarari F.01Department of Mathematics, College of Sciences, Yanbu, Taibah University, Saudi ArabiaThe purpose of the present paper is to introduce and study new subclasses of analytic functions which generalize the classes of Janowski functions with q-derivative. We also study certain a convolution conditions, and apply the convolution conditions to get sufficient condition and the neighborhood results related to the functions in the class 𝒮q(A, B, α).https://doi.org/10.2478/ausm-2023-0001janowski functionssubordinationstarlike functionsconvex functionsq-derivativeconvolution or hadamard product30c45 |
| spellingShingle | Alsarari F. A note on convolution of Janowski type functions with q-derivative Acta Universitatis Sapientiae: Mathematica janowski functions subordination starlike functions convex functions q-derivative convolution or hadamard product 30c45 |
| title | A note on convolution of Janowski type functions with q-derivative |
| title_full | A note on convolution of Janowski type functions with q-derivative |
| title_fullStr | A note on convolution of Janowski type functions with q-derivative |
| title_full_unstemmed | A note on convolution of Janowski type functions with q-derivative |
| title_short | A note on convolution of Janowski type functions with q-derivative |
| title_sort | note on convolution of janowski type functions with q derivative |
| topic | janowski functions subordination starlike functions convex functions q-derivative convolution or hadamard product 30c45 |
| url | https://doi.org/10.2478/ausm-2023-0001 |
| work_keys_str_mv | AT alsararif anoteonconvolutionofjanowskitypefunctionswithqderivative AT alsararif noteonconvolutionofjanowskitypefunctionswithqderivative |