June 2010
Computing leaf rectangularity index: An estimation problem when the parameter is a norm of a vector
A measure known as leaf rectangularity index (LRI) is estimated by means of bootstrap regression. The index, it is envisaged, will assist in discussing the geometry of leaf surfaces, if possible among different plants and across species. The study shows that one cannot obtain the point estimate of LRI before its interval estimate; rather, the interval estimate comes first before the point estimate. This paper gives the...
June 2010
Subclasses of analytic functions associated with Wright generalized hypergeometric functions
In this paper, we define a generalized class of starlike functions with negative coefficients and obtain coefficient estimates, distortion bounds, closure theorems and extreme points. Further we obtain modified Hadamard product, radii of close-to-convex, starlikeness and convexity for functions belonging to this class. Furthermore neighborhood results are discussed. Key words: Univalent functions, convex...
June 2010
A novel analytical solution of steady flow over a rotating disk in porous medium with heat transfer by DTM-PADÉ
In this study, the differential transform method (DTM) was applied to steady flow over a rotating disk in porous medium with heat transfer. The governing equations can be written as a system of nonlinear ordinary differential equations. The approximate solutions of these equations were obtained in the form of series with easily computable terms. Then, Padé approximant was applied to increase the convergence...
June 2010
A mathematical model of radioimmunotherapy for tumor treatment
There is rapidly growing interest in the potential for synergistic, clinically relevant therapeutic responses by combining radiation therapy with immune response. A new mathematical model of radioimmunotherapy for tumor treatment was introduced. In this work, the linear and exponential spatial dependence of tumor parameters was used. The dose distributions model of radiotherapy with immune response for tumor treatment...
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