Professor
+91 (0)361 258 2608 mgpp ◊ iitg ⋅ ac ⋅ in
Research Area: Complex Dynamics and Fractals
Room No: E-207
Personal Website | IRINS Profile
Department Responsibilities:
DPPC, Member
Faculty Advisor, M.Sc. (M & C) 2023
Thesis: Dynamics of certain Entire Functions arising from Separately Convergent Continued Fractions
Supervisor: Professor G. P. Kapoor
Madurai Kamaraj University, Tamil Nadu, India
Madurai Kamaraj University, Tamil Nadu, India
B.Sc. (Mathematics): Madura College, Madurai Kamaraj University (April, 1989)Ph.D.: IIT Kanpur (May, 1998)
M.Sc. (Mathematics): Madura College, Madurai Kamaraj University (April, 1991)
B.Sc. (Mathematics): Madura College, Madurai Kamaraj University (April, 1989)
Presently Teaching: (July-November 2024)
Courses Taught:
Preparatory:
UG (B.Tech. and B.Des.):
PG (M.Sc., M.Tech. and Ph.D.):
Courses Taught Earlier: Click here
26. Priyanka T.M.C., Gowrisankar A., M. Guru Prem Prasad, Liang Y., Cao J., "Caputo Fractional Derivative of $\alpha$ fractal spline", Numerical Algorithms [2024] , http://dx.doi.org/10.1007/s11075-024-01875-z
25. Balasubramani N., M. Guru Prem Prasad, Natesan S., "
24. Madhusudan Bera and M. Guru Prem Prasad, "Dynamics of two families of meromorphic functions involving hyperbolic cosine function", Indian J. Pure Appl. Math. , vol.52 (2) ,pp.384-394, [2021]
23. Md. Nasim Akhtar, M. Guru Prem Prasad, M. A. Navascues, R. N. Mohapatra, "New Fractal Functions on the Sphere", Eur. Phys. J. Spec. Top. , vol.230 ,pp.3755-3764, [2021] , https://doi.org/10.1140/epjs/s11734-021-00321-8
22. N. Balasubramani, M.Guru Prem Prasad and S. Natesan, "Fractal quintic spline method for nonlinear boundary-value problems", Hacet. J. Math. Stat , vol.49 (6) ,pp.1885-1903, [2020]
21. Md. Nasim Akhtar, M. Guru Prem Prasad and G. P. Kapoor, "Image compression using fractal multiwavelet transform", J. Anal. , vol.28 (3) ,pp.769-789, [2020]
20. N. Balasubramani, M.Guru Prem Prasad and S. Natesan, "Shape preserving alpha-fractal rational cubic splines", Calcolo , vol.57 (3) [2020]
19. N. Balasubramani, M.Guru Prem Prasad and S. Natesan, "Fractal cubic spline methods for singular boundary-value problems,", Int. J. Appl. Comput. Math , vol.6 (2 paper no. 47) [2020]
18. Md. Nasim Akhtar, M. Guru Prem Prasad and M. A. Navascues, "More general fractal functions on the sphere", Mediterr. J. Math , vol.16 (6 paper no. 134) [2019]
17. Madhusudan Bera and M. Guru Prem Prasad, "Dynamics of two parameter family of hyperbolic sine like functions", J. Anal , vol.27 (3) ,pp.895-912, [2019]
16. N. Balasubramani, M.Guru Prem Prasad and S. Natesan, "Fractal quintic spline solutions for fourth-order boundary-value problems", Int. J. Appl. Comput. Math , vol.5 (5 paper no. 130) [2019]
15. A. Gowrisankar and M. Guru Prem Prasad, "Riemann-Liouville calculus on quadratic fractal interpolation function with variable scaling factors,", J. Anal , vol.27 (2) ,pp.347-363, [2019]
14. Madhusudan Bera and M. Guru Prem Prasad,, "Fixed points and dynamics of two-parameter family of hyperbolic cosine like functions,", J. Math. Anal. Appl , vol.469 (2) ,pp.1070-1079, [2019]
13. N. Balasubramani, M.Guru Prem Prasad and S. Natesan, "Constrained and convex interpolation through rational cubic fractal interpolation surface,", Comput. Appl. Math , vol.37 (5) ,pp.6308-6331, [2018]
12. 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 , vol.103 ,pp.440-449, [2017]
11. Md. Nasim Akhtar, M. Guru Prem Prasad and M. A. Navascues, "Box dimension of alpha-fractal functions", Fractals , vol.24 (3) [2016]
10. 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. , vol.13 (6) ,pp.3965-3984, [2016]
9. M. Guru Prem Prasad and Md. Nasim Akhtar, "Fractal interpolation surfaces and perturbations on vertical scaling factors", Int. J. Nonlinear Sci , vol.21 (1) ,pp.3-12, [2016]
8. Tarakanta Nayak and M. Guru Prem Prasad, "Julia sets of Joukowski-exponential maps", Complex Anal. Oper. Theory , vol.8 (5) ,pp.1061-1075, [2014]
7. Tarakanta Nayak and M. Guru Prem Prasad, "Iteration of certain meromorphic functions with unbounded singular values", Ergodic Theory Dynam. Systems , vol.30 (3) ,pp.877-891, [2010]
6. M. Guru Prem Prasad and Tarakanta Nayak, "Dynamics of certain class of critically bounded entire transcendental functions", J. Math. Anal. Appl , vol.329 (2) ,pp.1446-1459, [2007]
5. M. Guru Prem Prasad, "Chaotic burst in the dynamics of $f_{\lambda}(z) =\lambda \frac{\sinh(z)}{z}$", Regul. Chaotic Dyn , vol.10 (1) ,pp.71-80, [2005]
4. 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 , vol.28/29 (1-4) ,pp.211-226, [2003]
3. 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. , vol.9 (6) ,pp.1137-1151, [1999]
2. G. P. Kapoor and M. Guru Prem Prasad, "Dynamics of $(e^{z}-1)/z$: the Julia set and bifurcation", Ergodic Theory Dynam. Systems , vol.18 (6) ,pp.1363-1383, [1998]
1. G. P. Kapoor and M. Guru Prem Prasad, "Growth of the numerator and denominator of separately convergent regular C-fractions", J. Anal , vol.3 ,pp.219-227, [1995]
3. 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 ,pp.171-176, [2006]
2. M.Guru Prem Prasad, Sandeep Dube and K. Sridharan, "An efficient Fractals-based algorithm for clustering", Convergent Technologies for the Asia-Pacific Region(TENCON) ,pp.244-246, [2003]
1. G. P. Kapoor, M. Sajid and M.Guru Prem Prasad, "Dynamics of Entire functions - A Review", 7th annual conference: Mathematical Analysis and Applications, Lucknow ,pp.37-51, [2000]
PostDoc Fellow
1 | Dr. Vijay (IPDF) |
1 | Dr. Abhilash Sahu |
2 | Dr. A. Gowrisankar |
Research Scholars
1 | Bikramjit Acharjee |
2 | Gaurav Kumar |
3 | Sudip Kumar (Part Time) |
1 | Tarakanta Nayak |
2 | Nasim Akhtar |
3 | N. Balasubramani |
4 | Madhusudan Bera |
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