Two algorithms are proposed for computing a special function, dependent on two complex parameters, which has applications in electrodynamics and radio physics etc. The first algorithm is based on the use of quadrature formulae applied to the integral form of the function, while the second is ...
Both real valued functions u and υ may be regarded as functions of x and y, and we can also write, (1.20)f(z)=u(x,y)+iv(x,y). For example, in case f(z) = z2, we have u(x, y) = x2 − y2 and υ(x, y) = 2xy. The complex number z may be visualized as the...
图书Function Theory of Several Complex Variables (Wadsworth & Brooks/Cole Mathematics Series) 介绍、书评、论坛及推荐
Greene和Krantz还有一本Function Theory of Several Complex Variables,也列入读书计划。
Input, specified as a symbolic number, variable, expression, or function, or as a vector or matrix of symbolic numbers, variables, expressions, or functions. More About collapse all Error Function The following integral defines the error function: ...
are studied in chapter iii. this chapter makes contact with the theory of analytic functions of complex variables. chapter iv presents a study of these operators on locally convex spaces of continuous functions making contact with topological dynamics. in the last chapter of the book some ...
The complex function field version of Lang’s conjecture describes the qualitative distribution of sections of a non-isotrivial fibration over a curve when the generic fibre is of general type. We extend, using MRC and ‘core’ factorisations, this conjecture to the general setting, for arbitrary...
Functions of a Complex Variable Real Functions Special Functions Functional Analysis Calculus of Variations and Optimization 1Introduction The following inequality is known in the literature as a Simpson-type inequality: \begin{aligned} \begin{aligned}[b] &\biggl\vert \frac{1}{6} \biggl[\chi (...
Find the minimum of an objective function in the presence of bound constraints. The objective function is a simple algebraic function of two variables. fun = @(x)1+x(1)/(1+x(2)) - 3*x(1)*x(2) + x(2)*(1+x(1)); Look in the region where x has positive values, x(1) ...
where ω and ω̄ are two complex variables. The variables ω and ω̄ can also be expressed as ω=u+iv and ω̄=u−iv, where u and v are real numbers. The domain of integration D includes all possible values of z and z̄. Notice that the argument of the exponential funct...