On the Existence of Relative Fix Points of a Certain Class of Complex Functions

Year 2014, Volume: 5 , 9 - 16, 06.03.2015

Dibyendu Banerjee

https://izlik.org/JA34MG93BB

Abstract

Using the idea of relative iterations of functions we prove a fix point theorem for certain class of complex functions.

Keywords

Relative fix points , exact factor order , complex functions.

References

• Bieberbach L., Theorie der Gew¨ ohnlichen Differentialgleichungen, Berlin, 1953.
• Baker I.N., The existence of fix points of entire functions, Math. Zeit., 73 (1960), 280–284.
• Hayman W.K., Meromorphic functions, The Oxford University Press, 1964.
• Bhattacharyya P., An extention of a theorem of Baker, Publicationes Mathematicae Debrecen, 27 (1980), 273–277.
• Lahiri B.K., Banerjee D., On the existence of relative fix points, Istanbul Univ. Fen Fak. Mat. Dergisi, 55-56 (1996-1997), 283–292.
• Banerjee D., Jana S., Relative fix points of factor order of transcendental entire functions, Indian Journal of Mathematics, 52(1) (2010), 209–216.
• Dibyendu BANERJEE, Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Bengal, India, e-mail : [e-mail]
• Biswajit MANDAL, Bunia Dangal High School, Bunia-731303, Birbhum, West Bengal, India, e-mail : [e-mail]