Researchers have developed refined numerical methods for approximating complex integrals and for extending analytic functions beyond their initial domains, with applications in quantum mechanics ...

We will cover complex numbers and their properties, differentiation of complex-valued functions, analytic functions and the Cauchy-Riemann conditions, elementary functions of a complex variable, both ...

The new edition differs mainly from its predecessor in the addition of appendixes on the hypergeometric function, Legendre functions and Fourier integrals. Functions of a Complex Variable. Prof.

Precision neuroengineering enables reproduction of complex brain-like functions in vitro Date: November 19, 2018 Source: University of Barcelona Summary: Researchers have designed neural circuits ...

This paper presents recursive formulas which admit simultaneous tests of stability and evaluation of quadratic loss functions for linear discrete-time dynamical systems. The method admits a ...

J. A. C. Weideman, Computation of the Complex Error Function, SIAM Journal on Numerical Analysis, Vol. 31, No. 5 (Oct., 1994), pp. 1497-1518 ...