Professor G. P. Kapoor, Mathematics Department, IIT Kanpur, India

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

Dynamical Systems and Fractals

Fractal Interpolation, 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

Selected Publications:

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

Dynamics of a Family of Transcendental Meromorphic Functions having Rational Schwarzian Derivative (with M. Sajid), J. Math. Anal. Appl., 329(2), (2007), 922-934. (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. (pdf)

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 (e^z -1)/z: the Julia set and Bifurcation (with M. G. P. Prasad) Ergodic Theory and Dynamical Systems, 1998, 18 (6), 1363--1383. (pdf)

Book Publication:

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

Research Interests:
	Dynamical Systems and Fractals Fractal Interpolation, 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

Selected Publications:
	Cubic Spline Coalescence Fractal Interpolation Through Moments (with A. K. B. Chand) Fractals, 15(1), (2007), 41-53. (pdf) Dynamics of a Family of Transcendental Meromorphic Functions having Rational Schwarzian Derivative (with M. Sajid), J. Math. Anal. Appl., 329(2), (2007), 922-934. (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. (pdf) 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 (e^z -1)/z: the Julia set and Bifurcation (with M. G. P. Prasad) Ergodic Theory and Dynamical Systems, 1998, 18 (6), 1363--1383. (pdf)

Book Publication:
	*Analytic Functions - Growth Aspects, Pitman/Longman Publications, London, UK, 1985*