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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

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 : dibyendu192@rediffmail.com
  • Biswajit MANDAL, Bunia Dangal High School, Bunia-731303, Birbhum, West Bengal, India, e-mail : biswajitmandal.math@gmail.com

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

Dibyendu Banerjee

Abstract

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 : dibyendu192@rediffmail.com
  • Biswajit MANDAL, Bunia Dangal High School, Bunia-731303, Birbhum, West Bengal, India, e-mail : biswajitmandal.math@gmail.com
There are 8 citations in total.

Details

Primary Language English
Journal Section Mathematics
Authors

Dibyendu Banerjee

Publication Date March 6, 2015
Published in Issue Year 2014 Volume: 5

Cite

APA Banerjee, D. (2015). On the Existence of Relative Fix Points of a Certain Class of Complex Functions. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, 5, 9-16.
AMA Banerjee D. On the Existence of Relative Fix Points of a Certain Class of Complex Functions. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. March 2015;5:9-16.
Chicago Banerjee, Dibyendu. “On the Existence of Relative Fix Points of a Certain Class of Complex Functions”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 5, March (March 2015): 9-16.
EndNote Banerjee D (March 1, 2015) On the Existence of Relative Fix Points of a Certain Class of Complex Functions. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 5 9–16.
IEEE D. Banerjee, “On the Existence of Relative Fix Points of a Certain Class of Complex Functions”, İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, vol. 5, pp. 9–16, 2015.
ISNAD Banerjee, Dibyendu. “On the Existence of Relative Fix Points of a Certain Class of Complex Functions”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 5 (March 2015), 9-16.
JAMA Banerjee D. On the Existence of Relative Fix Points of a Certain Class of Complex Functions. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2015;5:9–16.
MLA Banerjee, Dibyendu. “On the Existence of Relative Fix Points of a Certain Class of Complex Functions”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, vol. 5, 2015, pp. 9-16.
Vancouver Banerjee D. On the Existence of Relative Fix Points of a Certain Class of Complex Functions. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2015;5:9-16.