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Explicit solution of the Riemann boundary value problem for double periodic functions in case of compound contour

    T. I. Gatalskaja Affiliation

Abstract


It is obtained the explicit solution to the Riemann boundary value problem for a compound contour on the torus. An example is presented which illustrates theoretical results.


Rymano kraštinio uždavinio dukart periodinėms funkcijoms išreikįtinis sprendinys
sudėtinio kontūro atveju


Santrauka. Straipsnyje išspręstas Rymano kraštinis uždavinys srityje su sudėtiniu kontūru. Rastas biperiodinis uždavinio sprendinys, išreikštas integralu su Košy branduoliu, kuris šiuo atveju yra Vajerštraso dzeta funkcija. Pabaigoje pateiktas iliustruojantis pavyzdys.


First Published Online: 14 Oct 2010


Keyword : Riemann boundary value problem, periodic functions, compound contour

How to Cite
Gatalskaja, T. I. (2003). Explicit solution of the Riemann boundary value problem for double periodic functions in case of compound contour. Mathematical Modelling and Analysis, 8(1), 13-24. https://doi.org/10.3846/13926292.2003.9637206
Published in Issue
Mar 31, 2003
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