Araştırma Makalesi
Yıl 2025,
Sayı: 50, 30 - 37, 28.03.2025
Öz
Kaynakça
- L. \v{S}pa\v{c}ek, Contribution \`{a} la th\'{e}orie des fonctions univalentes, \v{C}asopis pro P\v{e}stovani Matematiky Fysiky 62 (1932) 12--19.
- R. J. Libera, Univalent $\alpha-$spiral functions, Canadian Journal of Mathematics 19 (1967) 449--456.
- Ş. Altınkaya, On the inclusion properties for $\vartheta $-spirallike functions involving both Mittag-Leffler and Wright function, Turkish Journal of Mathematics 46 (3) (2022) 1119--1131.
- G. Murugusundaramoorthy, T. Bulboaco, Sufficient conditions of subclasses of spiral-like functions associated with Mittag-Leffler functions, Kragujevac Journal of Mathematics 48 (6) (2024) 921--934.
- G. Murugusundaramoorthy, Subordination results of spiral-like functions associated with Srivastava-Attiya operator, Integral Transforms and Special Functions 23 (2) (2012) 97--103.
- K. I. Noor, S. Z. H. Bukhari, Some subclasses of analytic and spiral-like functions of complex order involving the Srivastava-Attiya integral operator, Integral Transforms and Special Functions 21 (12) (2010) 907--916.
- K. I. Noor, N. Khan, M. A. Noor, On generalized spiral-like analytic functions, Filomat 28 (7) (2014) 1493--1503.
- T. M. Seoudy, On unified class of $\gamma$ spirallike functions of complex order, Sarajevo Journal of Mathematics 10 (1) (2014) 55--60.
- T. M. Seoudy, Classes of spirallike functions defined by Dziok-Srivastava operator, Le Mathematiche 69 (2) (2014) 93--102.
- H. M. Srivastava, S. Owa, A note on certain subclasses of spiral-like functions, Rendiconti del Seminario Matematico della Universita di Padova 80 (1988) 101--108.
- M. G. Shrigan, S. Yal\c{c}\i n, Spiral-Like functions associated with Wright distribution series, Analele Universitatii din Oradea-Fascicola Matematica 31 (1) (2024) 19--29.
- Q.-H. Xu, C.-B. Lv, N.-C. Luo, H.-M. Srivastava, Sharp coefficient estimates for a certain general class of spirallike functions by means of differential subordination, Filomat 27 (2013) 1351--1356.
- Q.-H. Xu, C.-B. Lv, H.-M. Srivastava, Coefficient estimates for the inverses of a certain general class of spirallike functions, Applied Mathematics and Computation 219 (2013) 7000--7011.
- L. Vanitha, C. Ramachandran, T. Bulboaca, Certain subclasses of spirallike univalent functions related to Poisson distribution series, Turkish Journal of Mathematics 45 (3) (2021) 1449--1458.
- K. Vijaya, G. Murugusundaramoorty, S. Yal\c{c}\i n, Subclasses of spiral-like functions sssociated with Pascal distribution series, Acta Universitatis Apulensis 66 (2021) 103--113.
- T. Yavuz, Coefficient estimates for certain subclasses of spirallike functions, Acta Universitatis Apulensis 45 (2016) 115--124.
- T. Yavuz, Coefficient estimates for certain subclass of spirallike functions defined by means of generalized Attiya-Srivastava operator, Communications of Korean Mathematical Society 31 (4) (2016) 703--712.
- W. Rudin, Functional analysis, Mc. Grow Hill, 1991.
- J. B. Conway, Functions of one complex variable I, Springer-Verlag, 1978.
- P. L. Duren, Univalent functions, Springer-Verlag, 1983.
- D. J. Hallenbeck, T. H. Mac Gregor, Linear problems and convexity techniques in geometric function theory, Pitman Advanced Publishing Program, 1984.
Yıl 2025,
Sayı: 50, 30 - 37, 28.03.2025
Öz
In this article, we investigate the fundamental extremal and topological properties of a certain subclass of spiral-like functions. We establish that this subclass forms a compact subset within the locally convex linear topological space of analytic functions in the unit disk. Moreover, we derive membership relations and integral representation formulas for functions belonging in this subfamily. Furthermore, the findings extend and generalize previously known results, providing deeper insights into the structural properties of these functions.
Anahtar Kelimeler
Univalent functions spiral-like functions integral representation formulas
Kaynakça
- L. \v{S}pa\v{c}ek, Contribution \`{a} la th\'{e}orie des fonctions univalentes, \v{C}asopis pro P\v{e}stovani Matematiky Fysiky 62 (1932) 12--19.
- R. J. Libera, Univalent $\alpha-$spiral functions, Canadian Journal of Mathematics 19 (1967) 449--456.
- Ş. Altınkaya, On the inclusion properties for $\vartheta $-spirallike functions involving both Mittag-Leffler and Wright function, Turkish Journal of Mathematics 46 (3) (2022) 1119--1131.
- G. Murugusundaramoorthy, T. Bulboaco, Sufficient conditions of subclasses of spiral-like functions associated with Mittag-Leffler functions, Kragujevac Journal of Mathematics 48 (6) (2024) 921--934.
- G. Murugusundaramoorthy, Subordination results of spiral-like functions associated with Srivastava-Attiya operator, Integral Transforms and Special Functions 23 (2) (2012) 97--103.
- K. I. Noor, S. Z. H. Bukhari, Some subclasses of analytic and spiral-like functions of complex order involving the Srivastava-Attiya integral operator, Integral Transforms and Special Functions 21 (12) (2010) 907--916.
- K. I. Noor, N. Khan, M. A. Noor, On generalized spiral-like analytic functions, Filomat 28 (7) (2014) 1493--1503.
- T. M. Seoudy, On unified class of $\gamma$ spirallike functions of complex order, Sarajevo Journal of Mathematics 10 (1) (2014) 55--60.
- T. M. Seoudy, Classes of spirallike functions defined by Dziok-Srivastava operator, Le Mathematiche 69 (2) (2014) 93--102.
- H. M. Srivastava, S. Owa, A note on certain subclasses of spiral-like functions, Rendiconti del Seminario Matematico della Universita di Padova 80 (1988) 101--108.
- M. G. Shrigan, S. Yal\c{c}\i n, Spiral-Like functions associated with Wright distribution series, Analele Universitatii din Oradea-Fascicola Matematica 31 (1) (2024) 19--29.
- Q.-H. Xu, C.-B. Lv, N.-C. Luo, H.-M. Srivastava, Sharp coefficient estimates for a certain general class of spirallike functions by means of differential subordination, Filomat 27 (2013) 1351--1356.
- Q.-H. Xu, C.-B. Lv, H.-M. Srivastava, Coefficient estimates for the inverses of a certain general class of spirallike functions, Applied Mathematics and Computation 219 (2013) 7000--7011.
- L. Vanitha, C. Ramachandran, T. Bulboaca, Certain subclasses of spirallike univalent functions related to Poisson distribution series, Turkish Journal of Mathematics 45 (3) (2021) 1449--1458.
- K. Vijaya, G. Murugusundaramoorty, S. Yal\c{c}\i n, Subclasses of spiral-like functions sssociated with Pascal distribution series, Acta Universitatis Apulensis 66 (2021) 103--113.
- T. Yavuz, Coefficient estimates for certain subclasses of spirallike functions, Acta Universitatis Apulensis 45 (2016) 115--124.
- T. Yavuz, Coefficient estimates for certain subclass of spirallike functions defined by means of generalized Attiya-Srivastava operator, Communications of Korean Mathematical Society 31 (4) (2016) 703--712.
- W. Rudin, Functional analysis, Mc. Grow Hill, 1991.
- J. B. Conway, Functions of one complex variable I, Springer-Verlag, 1978.
- P. L. Duren, Univalent functions, Springer-Verlag, 1983.
- D. J. Hallenbeck, T. H. Mac Gregor, Linear problems and convexity techniques in geometric function theory, Pitman Advanced Publishing Program, 1984.
Toplam 21 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Reel ve Kompleks Fonksiyonlar |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 28 Mart 2025 |
| Gönderilme Tarihi | 30 Ocak 2025 |
| Kabul Tarihi | 6 Mart 2025 |
| Yayımlandığı Sayı | Yıl 2025 Sayı: 50 |
Kaynak Göster
- Makale Dosyaları