3 papers
math.HO2012
On some applications of complex numbers to polar equations and cycloidal curves
H. Azad, A. Laradji, M. T. Mustafa
The efficacy of using complex numbers for understanding geometric questions related to polar equations and general cycloids is demonstrated.
math.AP2009
Analytic solutions of initial-boundary-value problems of transient conduction using symmetries
H. Azad, M. T. Mustafa, A. F. M. Arif
Lie symmetry method is applied to find analytic solutions of initial-boundary-value problems of transient conduction in semi-infinite solid with constant surface temperature or con…
math.CA2009
Sturm-Liouville Theory and Orthogonal Functions
H. Azad, M. T. Mustafa
We revisit basics of classical Sturm-Liouville theory and, as an application, recover Bochner's classification of second order ODEs with polynomial coefficients and polynomial solu…