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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.

Details

Primary Language English
Journal Section Research Article
Authors

Mohammad Sajid This is me

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

Cite

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 (January2017), 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.