A New Class of Higher Derivatives for Harmonic Univalent Functions Established using a Generalized Fractional Integral Operator

Authors

  • Ali Musaddak Delphi University of Baghdad , College of Science for women , Department of Mathematics

DOI:

https://doi.org/10.31185/wjps.571

Keywords:

Harmonic function, Univalent function, Fractional operator, Higher derivatives

Abstract

A new class of higher derivatives  for harmonic univalent functions defined by a generalized fractional integral operator inside an open unit disk E is the aim of this paper.

References

D. S. Ali, R.W. Ibrahim, D. Baleanu and N. M.G. Al-saidi, "Generalized fractional operator in complex domain ," Studia Universitatis Babes-Bolyai Mathematica. vol.69, no.2, pp. 283-297, 2024. https://dx.doi.org/10.24193/subbmath.2024.2.03

H. Lewy, "On the non-vanishing of the jacobian in certain one-to-one mappings," Bulletin of the American Mathematical Society,vol. 42, no. 10, pp. 689-692, 1936. https://www.ams.org/journals/bull/1936-42-10/S0002-9904-1936-06397-4/S0002-9904-1936-06397-4.pdf

J. Clunie and T. Sheil-Small, "Harmonic univalent functions," Annales Academie Scientiarum Fennice Series A. I. Mathematica , vol. 9, pp. 3-25, 1983. https://doi.org/10.5186/aasfm.1984.0905

F. F. Aubdulnabi and K. A. Jassim, "A class of harmonic univalent functions defined by differential operator and the generalization, "Iraqi Journal of Science , vol. 61, no. 6, pp. 1440-1445, 2020. https://doi.org/10.24996/ijs.2020.61.6.23

A.Y. Taha and A.S. Juma, "Harmonic multivalent functions associated with generalized hypergeometric functions, "Iraqi Journal of Science , vol. 63, no. 4, pp. 1700-1706, 2022. https://doi.org/10.24996/ijs.2022.63.4.27

A. M. Delphi and K. A. Jassim, "A class of harmonic multivalent functions for higher derivatives associated with general linear operator, "Iraqi Journal of Science , vol. 63, no. 9, pp. 3867-3876, 2022. https://doi.org/10.24996/ijs.2022.63.9.19

A, Jitendra, "A subclass of harmonic functions defined by a certain fractional calculus operators," South East Asian Journal of Mathematics and Mathematical Science. vol. 19, no.1, pp. 55-62, 2023. https://doi.org/10.56827/SEAJMMS.2023.1901.5

S. Porwal and M.K. Singh, "A new subclass of harmonic univalent functions associated with q-Calculus," Bulletien of the transilvania university of Brasov. vol.4(66), no.1, pp. 149-162, 2024.

https://doi.org/10.31926/but.mif.2024.4.66.1.11

K. Sridevi and N. Sudha Rani, "Subclass of harmonic univalent functions connected with hypergeometric functions," Advance in Nonlinear Variational Inequalities. vol. 27, no.2, pp. 317-327, 2024. https://internationalpubls.com/index.php/anvi/article/view/968

A. H. Maran, A.R.S. Juma and R. A. Al-Saphory, “Certain subclass of harmonic multivalent functions defined by new linear operator, " Wasit Journal for Pure Science , vol. 3, no.3, pp. 1-8, 2024. https://doi.org/10.31185/wjps.422

Downloads

Published

2024-12-30

Issue

Section

Mathematics

How to Cite

Musaddak Delphi, A. (2024). A New Class of Higher Derivatives for Harmonic Univalent Functions Established using a Generalized Fractional Integral Operator. Wasit Journal for Pure Sciences , 3(4), 31-37. https://doi.org/10.31185/wjps.571