Publications in Journals
- N. Balasubramani, M. Guru Prem Prasad and S. Natesan, Fractal quintic spline solutions for singularly perturbed reaction-diffusion boundary-value problems, Applied Numerical Mathematics 202 (2024), 89-99.
- T. M. C. Priyanka, A. Gowrisankar, M. Guru Prem Prasad, Y. Liang and J. Cao, Caputa Fractional Derivative of alpha-fractal spline, Numerical Algorithms (2024).
- Md. Nasim Akhtar, M. Guru Prem Prasad, M. A. Navascues and R. N. Mohapatra, New Fractal Functions on the Sphere, European Physical Journal: Special Topics 230 (2021), 3755-3764.
- Madhusudan Bera and M. Guru Prem Prasad, Dynamics of two families of meromorphic functions involving hyperbolic cosine function, Indian J. Pure Appl. Math. 52 (2021), no. 2, 384-394.
- N. Balasubramani, M.Guru Prem Prasad and S. Natesan, Fractal quintic spline method for nonlinear boundary-value problems, Hacet. J. Math. Stat. 49 (2020), no. 6, 1885-1903.
- Md. Nasim Akhtar, M. Guru Prem Prasad and G. P. Kapoor, Image compression using fractal multiwavelet transform, J. Anal. 28 (2020), no. 3, 769-789.
- N. Balasubramani, M.Guru Prem Prasad and S. Natesan, Shape preserving alpha-fractal rational cubic splines, Calcolo 57 (2020), no. 3, Paper No. 21.
- N. Balasubramani, M.Guru Prem Prasad and S. Natesan, Fractal cubic spline methods for singular boundary-value problems, Int. J. Appl. Comput. Math. 6 (2020), no. 2, Paper No. 47.
- Md. Nasim Akhtar, M. Guru Prem Prasad and M. A. Navascues, More general fractal functions on the sphere, Mediterr. J. Math. 16 (2019), no. 6, Paper No.134.
- Madhusudan Bera and M. Guru Prem Prasad, Dynamics of two parameter family of hyperbolic sine like functions, J. Anal. 27 (2019), no. 3, 895-912.
- N. Balasubramani, M.Guru Prem Prasad and S. Natesan, Fractal quintic spline solutions for fourth-order boundary-value problems, Int. J. Appl. Comput. Math. 5 (2019), no. 5, Paper No. 130.
- A. Gowrisankar and M. Guru Prem Prasad, Riemann-Liouville calculus on quadratic fractal interpolation function with variable scaling factors, J. Anal. 27 (2019), no. 2, 347-363.
- Madhusudan Bera and M. Guru Prem Prasad, Fixed points and dynamics of two-parameter family of hyperbolic cosine like functions, J. Math. Anal. Appl. 469 (2019), no. 2, 1070-1079.
- N. Balasubramani, M.Guru Prem Prasad and S. Natesan, Constrained and convex interpolation through rational cubic fractal interpolation surface, Comput. Appl. Math. 37 (2018), no. 5, 6308-6331.
- Md. Nasim Akhtar, M. Guru Prem Prasad and M. A. Navascues, Box dimension of alpha-fractal functions with variable scaling factors in subintervals, Chaos Solitons Fractals 103 (2017), 440-449.
- Md. Nasim Akhtar, M. Guru Prem Prasad and M. A. Navascues, Box dimension of alpha-fractal functions, Fractals 24 (2016), no.3.
- Md. Nasim Akhtar, M. Guru Prem Prasad and M. A. Navascues, Fractal Jacobi systems and convergence of Fourier-Jacobi expansions of fractal interpolation functions, Mediterr. J. Math. 13 (2016), no.6, 3965-3984.
- M. Guru Prem Prasad and Md. Nasim Akhtar, Fractal interpolation surfaces and perturbations on vertical scaling factors, Int. J. Nonlinear Sci. 21 (2016), no.1, 3-12.
- Tarakanta Nayak and M. Guru Prem Prasad, Julia sets of Joukowski-exponential maps, Complex Anal. Oper. Theory 8 (2014), no.5, 1061-1075.
- Tarakanta Nayak and M. Guru Prem Prasad, Iteration of certain meromorphic functions with unbounded singular values, Ergodic Theory Dynam. Systems 30 (2010), no.3, 877-891.
- M. Guru Prem Prasad and Tarakanta Nayak, Dynamics of certain class of critically bounded entire transcendental functions, J. Math. Anal. Appl. 329 (2007), no.2, 1446-1459.
- M. Guru Prem Prasad, Chaotic burst in the dynamics of $f_{\lambda}(z) =\lambda \frac{\sinh(z)}{z}$, Regul. Chaotic Dyn. 10 (2005), no.1, 71-80.
- Tarakanta Nayak and M. Guru Prem Prasad, Bifurcation and chaotic burst in the dynamics of $\lambda e^{bz+ce^{z}}$, J. Combin. Inform. System Sci. 28/29 (2003/04), no.1-4, 211-226.
- G. P. Kapoor and M. Guru Prem Prasad, Chaotic burst in the dynamics of noncritically finite entire functions, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 9 (1999), no.6, 1137-1151.
- G. P. Kapoor and M. Guru Prem Prasad, Dynamics of $(e^{z}-1)/z$: the Julia set and bifurcation, Ergodic Theory Dynam. Systems 18 (1998), no.6, 1363-1383.
- G. P. Kapoor and M. Guru Prem Prasad, Growth of the numerator and denominator of separately convergent regular C-fractions, J. Anal. 3 (1995), 219-227.
Publications in Conferences
- M.Guru Prem Prasad, Tarakanta Nayak and Ashis Kumar Roy, Exploding Julia sets in the dynamics of $f_{\lambda}(z) =\lambda J_{1}(iz)/(iz)$, Proceedings of the third National conference on Non-linear Systems and Dynamics Allied Publishers, 2006, 171-174.
- M.Guru Prem Prasad, Sandeep Dube and K. Sridharan, An efficient Fractals-based algorithm for clustering, Convergent Technologies for the Asia-Pacific Region(TENCON) 2003, 244--246.
- G. P. Kapoor, M. Sajid and M.Guru Prem Prasad, Dynamics of Entire functions - A Review, 7th annual conference: Mathematical Analysis and Applications, Lucknow 2000, 37--51.
Research
Working on research problems in the areas of holomorphic dynamics, chaos theory, applications of fractals, continued fractions, etc.