Abstract:
We examine a piecewise analytic function that is defined in sectors of a disk whose real and imaginary parts obey contact conditions on adjacent boundary parts. Under the assumption of the power behavior, the sharp asymptotics of this function is established at the center of the disk.
Keywords:
analytic function, contact conjugation condition, power logarithmic asymptotics.
Citation:
N. A. Zhura, A. P. Soldatov, “On asymptotics of a piecewise analytic function satisfying contact conditions”, Sibirsk. Mat. Zh., 53:5 (2012), 1001–1006; Siberian Math. J., 53:5 (2012), 800–804