New Application of Libera Integral Operator

Authors

  • Muhammet Kamali Department of Mathematics, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan
  • Hatun Özlem Guney Department of Mathematics, Dicle University, Diyarbakir, Turkey
  • Shigeyoshi Owa ‘1 Decembrie 1918’ University, Alba Lulia, Romania

DOI:

https://doi.org/10.26713/cma.v17i1.3101

Keywords:

Analytic function, Libera integral operator, \(\alpha\)-spirallike functions of order \(\beta\), Subordination, Convex

Abstract

In this paper, we introduce the new subclass \(A_{j}(n, \alpha, \beta)\) of \(A(n)\) using \(Lf(z)\). Some interesting properties of functions \(f(z) \in A(n)\) are studied with illustrative examples.

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References

[1] C. Carathéodory, Über den variabilitätsbereich der fourier’schem konstanten won positiven harmonischen funktionen, Rendiconti Del Circolo Matematico di Palermo 32 (1911), 193 – 217, DOI: 10.1007/BF03014795.

[2] R. J. Libera, Some classes of regular univalent functions, Proceedings of the American Mathematical Society 16 (1965), 755 – 758, DOI: 10.1090/S0002-9939-1965-0178131-2.

[3] S. S. Miller and P. T. Mocanu, Differential Subordinations: Theory and Applications, 1st edition, CRC Press, Boca Raton, 480 pages (2000), DOI: 10.1201/9781482289817.

[4] H. S. Wilf, Subordinating factor sequences for convex maps of the unit circle, Proceedings of the American Mathematical Society 12 (1961), 689 – 693, DOI: 10.1090/S0002-9939-1961-0125214-5.

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Published

March 30, 2026

Issue

Vol. 17 No. 1 (2026)

Section

Research Article

License

Creative Commons Licence 4.0 by

How to Cite

Kamali, M., Guney, H. Özlem, & Owa, S. (2026). New Application of Libera Integral Operator. Communications in Mathematics and Applications, 17(1), 91-101. https://doi.org/10.26713/cma.v17i1.3101