The study of cases of fixed points of a complex function depending on the inputs and concluding examples of useful functions

10.30495/maca.2025.2051385.1124
Volume 6, Issue 4
Autumn 2024
Pages 45-57

Document Type : Original Article

Author

Cooperative Essalam, Rue Kacem Amine, N10, Settat, Morocco

Abstract
This work aims to propose mathematical procedures that help to deduce the fixed points of a complex function. These fixed points can also be used as a basis to generate new useful complex functions that have for sure at least one fixed point. Hence, this is a good article for specialists in calculus and analysis and even for beginners in mathematics who want to improve their skills in the field of complex numbers.

Keywords

[1] A. Louiz, A thesis about Newtonian mechanics rotations and about differential operators, Maghreb. J. Pure Appl. Sci., In Press, 10.48383/IMIST.PRSM/mjpas-v6i1.20388.
[2] A. Louiz, A new equation of four infinite series and sums by using a generalized recurrence relation, Preprint, available at Research Square, doi.org/10.21203/rs.3.rs-2378268/v6
[3] A. Louiz, A discussion of rationality and continuity related to Theta Functions by using the summation of Poisson, Asia Math., In Press, 10.5281/zenodo.10609879.
[4] A. Louiz, Recurrences of sequences of the Collatz conjecture and the only five forms of numbers that satisfy this conjecture, Univer. J. Math. Math. Sci., 20(2) (2024), 143–152.
[5] A. Louiz, Arithmetic statements equivalent to the proof of the Collatz conjecture, Preprint.
[6] E. C. Titchmarsh, D. R. Heath-Brown, and E. C. T. Titchmarsh, The Theory of the Riemann Zeta-Function, Oxford University Press, 1986
  • Receive Date 04 November 2024
  • Revise Date 24 November 2024
  • Accept Date 14 December 2024