Subclasses of Noshiro-Type Starlike Harmonic Functions Involving <i>q</i>-Srivastava–Attiya Operator
In this paper, the harmonic function related to the <i>q</i>-Srivastava–Attiya operator is described to introduce a new class of complex harmonic functions that are orientation-preserving and univalent in the open-unit disk. We also cover some important aspects such as coefficient bounds...
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| Format: | Article |
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MDPI AG
2023-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/23/4711 |
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| author | Gangadharan Murugusundaramoorthy Kaliappan Vijaya Daniel Breaz Luminiţa-Ioana Cotîrlǎ |
| author_facet | Gangadharan Murugusundaramoorthy Kaliappan Vijaya Daniel Breaz Luminiţa-Ioana Cotîrlǎ |
| author_sort | Gangadharan Murugusundaramoorthy |
| collection | DOAJ |
| description | In this paper, the harmonic function related to the <i>q</i>-Srivastava–Attiya operator is described to introduce a new class of complex harmonic functions that are orientation-preserving and univalent in the open-unit disk. We also cover some important aspects such as coefficient bounds, convolution conservation, and convexity constraints. Next, using sufficiency criteria, we calculate the sharp bounds of the real parts of the ratios of harmonic functions to their sequences of partial sums. In addition, for the first time some of the interesting implications of the <i>q</i>-Srivastava–Attiya operator in harmonic functions are also included. |
| first_indexed | 2024-03-09T01:47:05Z |
| format | Article |
| id | doaj.art-8e9949733b73453186cce97a23cae6f5 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T01:47:05Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-8e9949733b73453186cce97a23cae6f52023-12-08T15:21:32ZengMDPI AGMathematics2227-73902023-11-011123471110.3390/math11234711Subclasses of Noshiro-Type Starlike Harmonic Functions Involving <i>q</i>-Srivastava–Attiya OperatorGangadharan Murugusundaramoorthy0Kaliappan Vijaya1Daniel Breaz2Luminiţa-Ioana Cotîrlǎ3Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT), Vellore 632014, IndiaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT), Vellore 632014, IndiaDepartment of Mathematics, “1 Decembrie 1918” University of Alba-Iulia, 510009 Alba-Iulia, RomaniaDepartment of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, RomaniaIn this paper, the harmonic function related to the <i>q</i>-Srivastava–Attiya operator is described to introduce a new class of complex harmonic functions that are orientation-preserving and univalent in the open-unit disk. We also cover some important aspects such as coefficient bounds, convolution conservation, and convexity constraints. Next, using sufficiency criteria, we calculate the sharp bounds of the real parts of the ratios of harmonic functions to their sequences of partial sums. In addition, for the first time some of the interesting implications of the <i>q</i>-Srivastava–Attiya operator in harmonic functions are also included.https://www.mdpi.com/2227-7390/11/23/4711analytic functionsunivalentharmonicharmonic starlike functionsconvolution<i>q</i>-differential operators |
| spellingShingle | Gangadharan Murugusundaramoorthy Kaliappan Vijaya Daniel Breaz Luminiţa-Ioana Cotîrlǎ Subclasses of Noshiro-Type Starlike Harmonic Functions Involving <i>q</i>-Srivastava–Attiya Operator Mathematics analytic functions univalent harmonic harmonic starlike functions convolution <i>q</i>-differential operators |
| title | Subclasses of Noshiro-Type Starlike Harmonic Functions Involving <i>q</i>-Srivastava–Attiya Operator |
| title_full | Subclasses of Noshiro-Type Starlike Harmonic Functions Involving <i>q</i>-Srivastava–Attiya Operator |
| title_fullStr | Subclasses of Noshiro-Type Starlike Harmonic Functions Involving <i>q</i>-Srivastava–Attiya Operator |
| title_full_unstemmed | Subclasses of Noshiro-Type Starlike Harmonic Functions Involving <i>q</i>-Srivastava–Attiya Operator |
| title_short | Subclasses of Noshiro-Type Starlike Harmonic Functions Involving <i>q</i>-Srivastava–Attiya Operator |
| title_sort | subclasses of noshiro type starlike harmonic functions involving i q i srivastava attiya operator |
| topic | analytic functions univalent harmonic harmonic starlike functions convolution <i>q</i>-differential operators |
| url | https://www.mdpi.com/2227-7390/11/23/4711 |
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