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Year 2017, Volume: 5 Issue: 1, 107 - 113, 01.01.2017

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References

  • 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.

Real fixed points and singular values of two-parameter family λ (z/((e^z-1)^n ))

Year 2017, Volume: 5 Issue: 1, 107 - 113, 01.01.2017

Abstract


References

  • 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.
There are 15 citations in total.

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Primary Language English
Journal Section Articles
Authors

Mohammad Sajid This is me

Publication Date January 1, 2017
Published in Issue Year 2017 Volume: 5 Issue: 1

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APA Sajid, M. (2017). Real fixed points and singular values of two-parameter family λ (z/((e^z-1)^n )). New Trends in Mathematical Sciences, 5(1), 107-113.
AMA Sajid M. Real fixed points and singular values of two-parameter family λ (z/((e^z-1)^n )). New Trends in Mathematical Sciences. January 2017;5(1):107-113.
Chicago Sajid, Mohammad. “Real Fixed Points and Singular Values of Two-Parameter Family λ (z/((e^z-1)^n ))”. New Trends in Mathematical Sciences 5, no. 1 (January 2017): 107-13.
EndNote Sajid M (January 1, 2017) Real fixed points and singular values of two-parameter family λ (z/(e^z-1)^n ) . New Trends in Mathematical Sciences 5 1 107–113.
IEEE M. Sajid, “Real fixed points and singular values of two-parameter family λ (z/((e^z-1)^n ))”, New Trends in Mathematical Sciences, vol. 5, no. 1, pp. 107–113, 2017.
ISNAD Sajid, Mohammad. “Real Fixed Points and Singular Values of Two-Parameter Family λ (z/((e^z-1)^n ))”. New Trends in Mathematical Sciences 5/1 (January 2017), 107-113.
JAMA Sajid M. Real fixed points and singular values of two-parameter family λ (z/((e^z-1)^n )). New Trends in Mathematical Sciences. 2017;5:107–113.
MLA Sajid, Mohammad. “Real Fixed Points and Singular Values of Two-Parameter Family λ (z/((e^z-1)^n ))”. New Trends in Mathematical Sciences, vol. 5, no. 1, 2017, pp. 107-13.
Vancouver Sajid M. Real fixed points and singular values of two-parameter family λ (z/((e^z-1)^n )). New Trends in Mathematical Sciences. 2017;5(1):107-13.