Research Article

Sharp coefficient estimates for $\vartheta$-spirallike functions involving generalized q-integral operator

Volume: 72 Number: 4 December 29, 2023
EN

Sharp coefficient estimates for $\vartheta$-spirallike functions involving generalized q-integral operator

Abstract

The aim of this article is to identify a new subfamily of spirallike functions and then to demonstrate necessary and sufficient conditions, sharp coefficients estimates for functions in this subfamily.

Keywords

References

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  2. Altınkaya, Ş., On the inclusion properties for $\vartheta$-spirallike functions involving both Mittag-Leffler and Wright function, Turkish J. Math., 46 (3) (2022), 1119-1131. https://doi.org/10.55730/1300-0098.3147
  3. Aouf, M. K., Seoudy, T. M., Convolution properties for classes of bounded analytic functions with complex order defined by q-derivative operator, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 113 (2) (2019), 1279-1288. https://doi.org/10.1007/s13398-018-0545-5
  4. Bernardi, S. D., Convex and starlike univalent functions, Trans. Amer. Math. Soc., 135 (1969), 429–446.
  5. Bulut, S., Certain subclasses of analytic and bi-univalent functions involving the q-derivative operator, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 66 (1) (2017), 108-114. https://doi.org/10.1501/Commua1-0000000780
  6. Gasper, G., Rahman, M., Basic hypergeometric series, second edition, Encyclopedia of Mathematics and its Applications, 96, Cambridge University Press, Cambridge, 2004.
  7. Govindaraj, M., Sivasubramanian, S., On a class of analytic functions related to conic domains involving q-calculus, Anal. Math., 43 (3) (2017), 475-487. https://doi.org/10.1007/s10476-017-0206-5
  8. Jackson, F.H., On q-functions and a certain difference operator, Earth and Environmental Science Transactions of the Royal Society of Edinburgh, 46 (1908), 253–281. https://doi.org/10.1017/S0080456800002751

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 29, 2023

Submission Date

May 21, 2023

Acceptance Date

June 7, 2023

Published in Issue

Year 2023 Volume: 72 Number: 4

APA
Yavuz, T., & Altınkaya, Ş. (2023). Sharp coefficient estimates for $\vartheta$-spirallike functions involving generalized q-integral operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 72(4), 1201-1210. https://doi.org/10.31801/cfsuasmas.1300217
AMA
1.Yavuz T, Altınkaya Ş. Sharp coefficient estimates for $\vartheta$-spirallike functions involving generalized q-integral operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2023;72(4):1201-1210. doi:10.31801/cfsuasmas.1300217
Chicago
Yavuz, Tuğba, and Şahsene Altınkaya. 2023. “Sharp Coefficient Estimates for $\vartheta$-Spirallike Functions Involving Generalized Q-Integral Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 72 (4): 1201-10. https://doi.org/10.31801/cfsuasmas.1300217.
EndNote
Yavuz T, Altınkaya Ş (December 1, 2023) Sharp coefficient estimates for $\vartheta$-spirallike functions involving generalized q-integral operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 72 4 1201–1210.
IEEE
[1]T. Yavuz and Ş. Altınkaya, “Sharp coefficient estimates for $\vartheta$-spirallike functions involving generalized q-integral operator”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 72, no. 4, pp. 1201–1210, Dec. 2023, doi: 10.31801/cfsuasmas.1300217.
ISNAD
Yavuz, Tuğba - Altınkaya, Şahsene. “Sharp Coefficient Estimates for $\vartheta$-Spirallike Functions Involving Generalized Q-Integral Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 72/4 (December 1, 2023): 1201-1210. https://doi.org/10.31801/cfsuasmas.1300217.
JAMA
1.Yavuz T, Altınkaya Ş. Sharp coefficient estimates for $\vartheta$-spirallike functions involving generalized q-integral operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2023;72:1201–1210.
MLA
Yavuz, Tuğba, and Şahsene Altınkaya. “Sharp Coefficient Estimates for $\vartheta$-Spirallike Functions Involving Generalized Q-Integral Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 72, no. 4, Dec. 2023, pp. 1201-10, doi:10.31801/cfsuasmas.1300217.
Vancouver
1.Tuğba Yavuz, Şahsene Altınkaya. Sharp coefficient estimates for $\vartheta$-spirallike functions involving generalized q-integral operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2023 Dec. 1;72(4):1201-10. doi:10.31801/cfsuasmas.1300217