| Title:
|
On a certain subclass of analytic functions defined by $q$-Sălăgean operator associated with operator on Hilbert space (English) |
| Author:
|
Bulut, Serap |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
150 |
| Issue:
|
3 |
| Year:
|
2025 |
| Pages:
|
359-370 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Using a Hilbert space operator, we define a new subclass of analytic functions defined by $p$-valent $q$-Sălăgean operator and determine coefficient estimates, distortion bounds, radii of close-to-convexity, starlikeness, and convexity for the functions in this class. We also investigate extreme points and the modified Hadamard product. (English) |
| Keyword:
|
analytic function |
| Keyword:
|
coefficient estimates |
| Keyword:
|
Hadamard product |
| Keyword:
|
Hilbert space operator |
| MSC:
|
30C45 |
| MSC:
|
30C50 |
| MSC:
|
47B38 |
| DOI:
|
10.21136/MB.2024.0006-24 |
| . |
| Date available:
|
2025-09-26T14:18:34Z |
| Last updated:
|
2025-09-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153081 |
| . |
| Reference:
|
[1] Dunford, N., Schwartz, J. T.: Linear Operators. I. General Theory.Pure and Applied Mathematics 7. Interscience Publishers, New York (1958). Zbl 0084.10402, MR 0117523 |
| Reference:
|
[2] El-Qadeem, A. H., Mamon, M. A.: Comprehensive subclasses of multivalent functions with negative coefficients defined by using a $q$-difference operator.Trans. A. Razmadze Math. Inst. 172 (2018), 510-526. Zbl 1421.30019, MR 3907641, 10.1016/j.trmi.2018.04.002 |
| Reference:
|
[3] Fan, K.: Analytic functions of a proper contraction.Math. Z. 160 (1978), 275-290. Zbl 0455.47013, MR 0482310, 10.1007/BF01237041 |
| Reference:
|
[4] Ghanim, F., Darus, M.: On new subclass of analytic $p$-valent function with negative coefficient for operator on Hilbert space.Int. Math. Forum 3 (2008), 69-77. Zbl 1159.30311, MR 2373487 |
| Reference:
|
[5] Jackson, F. H.: On $q$-functions and a certain difference operator.Trans. Royal Soc. Edinburgh 46 (1909), 253-281. 10.1017/S0080456800002751 |
| Reference:
|
[6] Jackson, F. H.: On $q$-definite integrals.Quar. J. Pure Appl. Math. 41 (1910), 193-203 \99999JFM99999 41.0317.04. |
| Reference:
|
[7] Joshi, S., Joshi, S. B., Mohapatra, R.: On a subclass of analytic functions for operator on a Hilbert space.Stud. Univ. Babeş-Bolyai, Math. 61 (2016), 147-153. Zbl 1389.30055, MR 3517477 |
| Reference:
|
[8] Kim, Y. C., Choi, J. H., Lee, J. S.: Generalized fractional calculus to a subclass of analytic functions for operators on Hilbert space.Int. J. Math. Math. Sci. 21 (1998), 671-676. Zbl 0912.30003, MR 1642192, 10.1155/S0161171298000921 |
| Reference:
|
[9] Yu, X.: A subclass of analytic $p$-valent functions for operator on Hilbert space.Math. Jap. 40 (1994), 303-308. Zbl 0843.30019, MR 1297246 |
| . |
