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On The Coefficients of Quasi-Subordine Functions

Year 2025, Volume: 13 Issue: 2, 154 - 159, 31.10.2025

Abstract

In this work we define two subclasses $H(\alpha, \beta)$ and $k\left(p, \alpha, \dfrac{1}{2}\right)$. If $g(z)$ is in the classes then we obtain coefficient bounds for the functions $f(z)$ which is majorized by $g(z)$ and quasisubordinate to $g(z)$.

References

  • [1] Altıntas O., On the coefficients of functions majorized by univalent functions, Hacettepe Bulletin of Natural sciences and Engineering, Vol:10, (1981), 23-30.
  • [2] Altıntas O. On the coefficients of certain analytic function, Hacettepe Bulletin of Natural sciences and Engineering, Vol:11, (1982), 147-1560.
  • [3] Altıntas O. and Shigeyoshi O., Majorizations and quasi subordinations for certain analiftce functions, Procceding of the Japon Academi , Vol:68, No.7, (1992), 181105.
  • [4] Goodman A. W. Uniwalent Functions, Vol . I. Vol. II. Mariner Pulishing, Tampa, Florida, (1983).
  • [5] Kakeya, S., On the limits of the roots of algebraic equation with positive ceefficients, Tohoku Math. Journal, Vol:2 (1912), 140-142.
  • [6] MacGregor T. H., Majorization by univalent functions. Duke. Math. Journal, Vol:34, (1967), 95-102.
  • [7] Owa S. and Shen C. Y., Certain subclass analytic functions, Math. Japonica, Vol:334, No.3, (1989), No.3, 409-412.

Year 2025, Volume: 13 Issue: 2, 154 - 159, 31.10.2025

Abstract

References

  • [1] Altıntas O., On the coefficients of functions majorized by univalent functions, Hacettepe Bulletin of Natural sciences and Engineering, Vol:10, (1981), 23-30.
  • [2] Altıntas O. On the coefficients of certain analytic function, Hacettepe Bulletin of Natural sciences and Engineering, Vol:11, (1982), 147-1560.
  • [3] Altıntas O. and Shigeyoshi O., Majorizations and quasi subordinations for certain analiftce functions, Procceding of the Japon Academi , Vol:68, No.7, (1992), 181105.
  • [4] Goodman A. W. Uniwalent Functions, Vol . I. Vol. II. Mariner Pulishing, Tampa, Florida, (1983).
  • [5] Kakeya, S., On the limits of the roots of algebraic equation with positive ceefficients, Tohoku Math. Journal, Vol:2 (1912), 140-142.
  • [6] MacGregor T. H., Majorization by univalent functions. Duke. Math. Journal, Vol:34, (1967), 95-102.
  • [7] Owa S. and Shen C. Y., Certain subclass analytic functions, Math. Japonica, Vol:334, No.3, (1989), No.3, 409-412.
There are 7 citations in total.

Details

Primary Language English
Subjects Mathematical Methods and Special Functions
Journal Section Research Article
Authors

Osman Altıntaş

Aslan Bahtiyar

Publication Date October 31, 2025
Submission Date January 27, 2025
Acceptance Date May 13, 2025
Published in Issue Year 2025 Volume: 13 Issue: 2

Cite

APA Altıntaş, O., & Bahtiyar, A. (2025). On The Coefficients of Quasi-Subordine Functions. Konuralp Journal of Mathematics, 13(2), 154-159.
AMA Altıntaş O, Bahtiyar A. On The Coefficients of Quasi-Subordine Functions. Konuralp J. Math. October 2025;13(2):154-159.
Chicago Altıntaş, Osman, and Aslan Bahtiyar. “On The Coefficients of Quasi-Subordine Functions”. Konuralp Journal of Mathematics 13, no. 2 (October 2025): 154-59.
EndNote Altıntaş O, Bahtiyar A (October 1, 2025) On The Coefficients of Quasi-Subordine Functions. Konuralp Journal of Mathematics 13 2 154–159.
IEEE O. Altıntaş and A. Bahtiyar, “On The Coefficients of Quasi-Subordine Functions”, Konuralp J. Math., vol. 13, no. 2, pp. 154–159, 2025.
ISNAD Altıntaş, Osman - Bahtiyar, Aslan. “On The Coefficients of Quasi-Subordine Functions”. Konuralp Journal of Mathematics 13/2 (October2025), 154-159.
JAMA Altıntaş O, Bahtiyar A. On The Coefficients of Quasi-Subordine Functions. Konuralp J. Math. 2025;13:154–159.
MLA Altıntaş, Osman and Aslan Bahtiyar. “On The Coefficients of Quasi-Subordine Functions”. Konuralp Journal of Mathematics, vol. 13, no. 2, 2025, pp. 154-9.
Vancouver Altıntaş O, Bahtiyar A. On The Coefficients of Quasi-Subordine Functions. Konuralp J. Math. 2025;13(2):154-9.
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