Real fixed points and singular values of two-parameter family λ (z/((e^z-1)^n ))
Real fixed points and singular values of two-parameter family λ (z/((e^z-1)^n ))
___
- G. P. Kapoor and M. G. P. Prasad. Dynamics of (e^z-1)/z: the Julia set and bifurcation. Ergodic Theory and Dynamical Systems, 18(6):1363-1383, 1998. http://dx.doi.org/10.1017/S0143385798118011
- M. G. Lee and C. C. Ho. Fixed points of two-parameter family of function λ(x/(b^x-1) )^n . Applied Mathematics, 6(3):576-584, 2015. http://dx.doi.org/10.4236/am.2015.63052
- D. Lim. Fixed points and dynamics on generating function of Genocchi numbers. J. Nonlinear Sci. Appl., 9(3):933-939, 2016.
- A. A. Magrenan and J. M. Gutierrez. Real dynamics for damped Newton’s method applied to cubic polynomials. Journal of Computational and Applied Mathematics, 275:527-538, 2015. http://dx.doi.org/10.1016/j.cam.2013.11.019
- T. Nayak and M. G. P. Prasad. Julia sets of Joukowski-Exponential maps. Complex Anal. Oper. Theory, 8(5):1061-1076, 2014. http://dx.doi.org/10.1007/s11785-013-0335-1
- M. G. P. Prasad and T. Nayak. Dynamics of {λtanh(e^z):λ∈R\{0}}. Discrete and Continuous Dynamical Systems, 19(1):121-138, September 2007. http://dx.doi.org/10.3934/dcds.2007.19.121
- A. G. Radwan. On some generalized discrete logistic maps. J. Adv. Res., 4(2):163-171, 2013. http://dx.doi.org/10.1016/j.jare.2012.05.003
- P. J. Rippon and G. M. Stallard. Transcendental Dynamics and Complex Analysis. London Mathematical Society Lecture Note Series, 348, Cambridge University Press, 2008.
- M. Sajid. Real and complex dynamics of one parameter family of meromorphic functions. Far East Journal of Dynamical Systems, 19(2):89-105, 2012.
- M. Sajid. On real fixed points of one parameter family of function x/(b^x-1). Tamkang Journal of Mathematics., 46(1):61-65, 2015. http://dx.doi.org/10.5556/j.tkjm.45.2014.1577
- M. Sajid. Singular values and fixed points of family of generating function of Bernoulli’s numbers. J. Nonlinear Sci. Appl., 8(1):17-22, 2015.
- M. Sajid. Singular values of one parameter family λ(z/(e^z-1) )^m. International Mathematical Forum, 10(7):301-304, 2015. http://dx.doi.org/10.12988/imf.2015.5319.
- M. Sajid. Singular values of one parameter family of generalized generating function of Bernoulli’s numbers. Appl. Math. Inf. Sci., 9(6):2921-2924, 2015. http://dx.doi.org/10.12785/amis/090619
- M. Sajid. Singular values of two parameter families λ (e^az-1)/z and λ z/(e^az-1). Journal of Mathematics Research, 8(1):10-13, 2016. http://dx.doi.org/10.5539/jmr.v8n1p10.
- M. Sajid and G. P. Kapoor. Dynamics of transcendental meromorphic functions ((z+μ_0))/((z+μ_0+4)) e^z having rational Schwarzian derivative. Dynamical systems: An International Journal, 22(3):323-337, September 2007. http://dx.doi.org/10.1080/14689360701208131.