Complex-Parameter Integral Iterations of Caratheodory Maps

Authors

DOI:

https://doi.org/10.5556/j.tkjm.51.2020.3047

Keywords:

Caratheodory maps, Bazilevi$\check{c}$ maps, Integral iterations

Abstract

Recent studies in the class of Bazilevi$\check{c}$ maps as a whole has compelled the development, in this work, of certain complex-parameter integral iterations of Caratheodory maps. The iterations are employed in a similar manner as in \cite{BA} to study a certain subfamily of those Bazilevi$\check{c}$ maps.

Author Biographies

Kunle Oladeji Babalola, University of Ilorin

Mathematics, Associate Professor

Mashood Sidiq, University of Ilorin

Mathematics

References

K. O. Babalola and T. O. Opoola, Iterated integral transforms of Caratheodor functions and their applications to analytic and univalent functions, Tamkang J. Math. 37 (2006), 355–366.

K. O. Babalola, New Insights into Bazilevic Maps. Analele Universitatii Oradea, Fasc. Matematica, Tom, xxiii, (1), (2016). Department of Mathematics, faculty of science, University of Oradea. Romania.

K. O. Babalola, New generalizations of Bazilevic maps. Journal of Classical Analysis, 8, (2), 163–170.

I. E. Bazilevicˇ, On a class of integrability by quadratures of the equation of Loewner-Kufarev, Mat. Sb., 37 (1955), 471–476 (Russian).

P. Eenigenburg, S. S. Miller, P. T. Mocanu and M. O. Reade, On a Briot-Bouquet differential subordination, Rev. Roumanie Math. Pures Appl., 29 (1984), 567–573.

T. O. Opoola, On a new subclass of Univalent functions, Mathematica (Cluj), 36(1994), 59 (2), 195–200.

G. S. Salagean, Subclasses of univalent functions, Lecture Notes in Math., 1013 (1983), 362–372. Springer-Verlag, Berlin, Heidelberg and New York.

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Published

2020-11-01

How to Cite

Babalola, K. O., & Sidiq, M. (2020). Complex-Parameter Integral Iterations of Caratheodory Maps. Tamkang Journal of Mathematics, 51(4), 289-301. https://doi.org/10.5556/j.tkjm.51.2020.3047

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Section

Papers