Distance Transforms of Sampled Functions

The Fekete-Szego Coefficient Functional for Transforms of Analytic Functions

Fast Discrete Polynomial Transforms with Applications to Data Analysis for Distance Transitive Graphs

Let P = fP 0 ; : : : ; P n?1 g denote a set of polynomials with complex coeecients. Let Z = fz 0 ; : : : ; z n?1 g C denote any set of sample points. For any f = (f 0 ; : : : ; f n?1) 2 C n the discrete polynomial transform of f (with respect to P and Z) is deened as the collection i=0 f i P j (z i)w(i) for some associated weight function w. These sorts of transforms nd important applications i...

Fekete-Szegö coefficient functional for transforms ‎of universally prestarlike functions

‎Universally prestarlike functions of order $alphaleq 1$ in the‎ ‎slit domain $Lambda=mathbb{C}setminus [1,infty)$ have been‎ ‎recently introduced by S‎. ‎Ruscheweyh.This notion generalizes the‎ ‎corresponding one for functions in the unit disk $Delta$ (and‎ ‎other circular domains in $mathbb{C}$)‎. ‎In this paper‎, ‎we obtain‎ ‎the Fekete-Szegö coefficient functional for transforms of such‎ ‎f...

Application of some integral transforms and multiple hypergeometric functions in modeling randomly weighted average of some random variables

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Dynamic Response of Discrete-Time Systems

In earlier chapters we have seen that the Laplace transform provides a convenient way of analyzing the dynamic behavior of continuous-time systems. The Laplace transform is also applicable to discrete-time systems but is somewhat awkward to use. Thus we consider a related transform for discrete-time systems, the z-transform. The z-transform has the same utility as the Laplace transform in that ...