About the Project

at a point

AdvancedHelp

(0.010 seconds)

11—20 of 103 matching pages

11: 10.61 Definitions and Basic Properties
In general, Kelvin functions have a branch point at x = 0 and functions with arguments x e ± π i are complex. …
12: 28.2 Definitions and Basic Properties
Furthermore, a solution w with given initial constant values of w and w at a point z 0 is an entire function of the three variables z , a , and q . …
13: 2.4 Contour Integrals
Cases in which p ( t 0 ) 0 are usually handled by deforming the integration path in such a way that the minimum of ( z p ( t ) ) is attained at a saddle point or at an endpoint. …
14: 25.12 Polylogarithms
In the complex plane Li 2 ( z ) has a branch point at z = 1 . …
15: 32.11 Asymptotic Approximations for Real Variables
If | k | > 1 , then w k ( x ) has a pole at a finite point x = c 0 , dependent on k , and …
16: 4.13 Lambert W -Function
W 0 ( z ) is a single-valued analytic function on ( , e 1 ] , real-valued when z > e 1 , and has a square root branch point at z = e 1 . …The other branches W k ( z ) are single-valued analytic functions on ( , 0 ] , have a logarithmic branch point at z = 0 , and, in the case k = ± 1 , have a square root branch point at z = e 1 0 i respectively. …
17: 8.19 Generalized Exponential Integral
Unless p is a nonpositive integer, E p ( z ) has a branch point at z = 0 . …
18: Mathematical Introduction
complex plane (excluding infinity).
f ( z ) | C = 0 f ( z ) is continuous at all points of a simple closed contour C in .
19: 13.2 Definitions and Basic Properties
In general, U ( a , b , z ) has a branch point at z = 0 . …
20: 19.2 Definitions
with a branch point at k = 0 and principal branch | ph k | π . …