MICS
2010
13 years 11 months ago
2010
This paper provides methods to decide whether a given analytic function of several complex variables is a linear combination of finitely many given analytic functions with coeffic...
FOCM
2011
2011
Accuracy and Stability of Computing High-order Derivatives of Analytic Functions by Cauchy Integrals
13 years 11 months ago
Abstract High-order derivatives of analytic functions are expressible as Cauchy integrals over circular contours, which can very effectively be approximated, e.g., by trapezoidal s...
APPML
2011
13 years 11 months ago
2011
For analytic functions in the open unit disk, J. Becker (Math. Ann. 202(1973)) has given some univalent conditions. In the present paper, some extensions of Becker’s type are co...
ADCM
2007
14 years 4 months ago
2007
We consider the solutions of general three term recurrence relations whose coefficients are analytic functions in a prescribed region. We study the ratio asymptotic of such soluti...