On Relative Fix Points of Functions of ClassII

Dibyendu Banerjee; Sumanta Ghosh

doi:https://doi.org/10.14445/22315373/IJMTT-V65I11P511

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 11 | Year 2019 | Article Id. IJMTT-V65I11P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I11P511

On Relative Fix Points of Functions of ClassII

Dibyendu Banerjee, Sumanta Ghosh

Abstract

We introduce the idea of relative iteration of four functions and using this, extend a theorem of Lahiri and Banerjee for a special class of functions involving exact factor order.

Keywords

Relative fix points, exact factor order, class II functions.

References

[1] N. Baker, The existence of fix points of entire functions, Math. Zeit.,73 (1960),280 − 284.
[2] D. Banerjee and B. Mandal , On the existence of relative fix points of a certain class of complex functions Istanbul Univ. Sci. Fac. J. Math. Phys. Astr.,Vol.5 (2014),9 − 16 ,
[3] D.Banerjee and B.Mandal, Relative fix points of a certain class of complex functions, Istanbul Univ. Sci. J. Math. Phys.Vol. 6 2015 , 15 − 25.
[4] P. Bhattacharyya, An extension of a theorem of Baker, Publicationes Mathematicae Debrecen, 27 (1980),273 − 277.
[5] L. Bieberbach, Theorie der Gewöhnlichen Differentialgleichungen, Berlin,1953.
[6] W. K. Hayman, Meromorphic functions, The Oxford University Press,1964.
[7] B. K. Lahiri and D. Banerjee, On the existence of relative fix points, Istanbul Univ. Fen Fak. Mat. Dergisi, 55 − 56 (1996 − 1997),273 − 277.

Citation :

Dibyendu Banerjee, Sumanta Ghosh, "On Relative Fix Points of Functions of ClassII," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 11, pp. 103-114, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I11P511