G. P. Kapoor
G.P.Kapoor (Ph.D./IITK/1973)
Professor
Department of Mathematics and Statistics
Indian Institute of Technology Kanpur
Kanpur 208016
India

Office    :  FB565
Phone    :  91-512-2597609 (o), 2598253 (r)
Fax        :  91-512-2597500
E-mail   :  gp@iitk.ac.in


Teaching     Research Supervision     


Research Interests:

 

  • Fractals and Complex Analytic Dynamics

  • Bifurcation and Chaos

  • Computational Complex Analysis

  • Boundary Element Method

  • Solution of Elliptic Partial Differential Equations

  • Interpolation and Approximation of Analytic Functions

  • Univalent and Multivalent Functions

 Fractal Interpolation Surface Fractal Interpolation Surface Mandelbrot Set
     

 

 

 

 

 

 

Selected Publications:

 

  • Cubic Spline Coalescence Fractal Interpolation Through Moments (with A. K. B. Chand),
        Fractals, 2007, 15(1), 41-53 (pdf)

  • Dynamics of a Family of Transcendental Meromorphic Functions having Rational
        Schwarzian Derivative (with M. Sajid), J. Math. Anal. Appl., 2007, 326(2), 1356-1369 (pdf)

  • Generalized Cubic Spline Fractal Interpolation Functions (with A. K. B. Chand)
        Siam J. Numer. Anal., 2006, 44 (2), pp.655-676. (pdf)
  • Dynamics of a Family of Non-Critically Finite Even Transcendental Meromorphic
        Functions (with M. Sajid), Regular and Chaotic Dynamics, 2004, 9 (2), 143-162.
  • Stochastic Image Compression Using Fractals (with A. Kapoor, Kush Arora and
        A. K. Jain    ) IEEE Proceedings, 2003, 574--579. (pdf)
  • Hidden Variable Bivariate Fractal Interpolation Surfaces (with A. K. B. Chand)
        Fractals, 2003, 11 (3), 277--288. (pdf)
  • Dynamics of Entire Functions : A Review (with M. Sajid and M. G. P. Prasad)
        Mathematical Analysis and Applications, 2000, 37--51. (pdf)
  • Chaotic Bursts in the Dynamics of a Class of Noncritically Finite Entire Functions
        (with M. G. P. Prasad) Int. J. Bifur. and Chaos, 1999, 9 (6), 1137--1151.
  • Dynamics of (ez -1)/z: the Julia set and Bifurcation (with M. G. P. Prasad)
        Ergodic Theory and Dynamical Systems, 1998, 18 (6), 1363--1383.


    • Book Publication:

  • Analytic Functions - Growth Aspects, Pitman/Longman Publications, London, UK, 1985