analytic continuation
(0.003 seconds)
1—10 of 48 matching pages
1: 6.4 Analytic Continuation
§6.4 Analytic Continuation
►Analytic continuation of the principal value of yields a multi-valued function with branch points at and . … ►
6.4.4
…
►
6.4.7
…
2: 28.7 Analytic Continuation of Eigenvalues
3: 14.24 Analytic Continuation
§14.24 Analytic Continuation
…4: 10.34 Analytic Continuation
§10.34 Analytic Continuation
…5: 10.11 Analytic Continuation
§10.11 Analytic Continuation
…6: 15.17 Mathematical Applications
…
►By considering, as a group, all analytic transformations of a basis of solutions under analytic continuation around all paths on the Riemann sheet, we obtain the monodromy group.
…
7: 16.15 Integral Representations and Integrals
…
►These representations can be used to derive analytic continuations of the Appell functions, including convergent series expansions for large , large , or both.
…
8: 8.2 Definitions and Basic Properties
…
►
§8.2(ii) Analytic Continuation
…9: 1.10 Functions of a Complex Variable
…
►
§1.10(ii) Analytic Continuation
… ►If , analytic in , equals on an arc in , or on just an infinite number of points with a limit point in , then they are equal throughout and is called an analytic continuation of . … ►Analytic continuation is a powerful aid in establishing transformations or functional equations for complex variables, because it enables the problem to be reduced to: (a) deriving the transformation (or functional equation) with real variables; followed by (b) finding the domain on which the transformed function is analytic. ►Schwarz Reflection Principle
… ►Then the value of at any other point is obtained by analytic continuation. …10: 8.15 Sums
…
►
8.15.2
.
…