Derya, Ayşe Mutlu2016-01-082016-01-082000http://hdl.handle.net/11693/18266Cataloged from PDF version of article.Ankara : Department of Mathematics and the Institute of Engineering and Sciences of Bilkent Univ., 2000.Thesis (Master's) -- Bilkent University, 2000.Includes bibliographical references (leave 77).We study the Riemann boundary value problem with finite and infinite index. The basis of the solution of the problem with the finite index is the Plemelj-Sokhotski formula. The solution of the problem with infinite index depends not only on the Plemelj-Sokhotski formula but also on some results of the entire functions theory.vii, 77 leaves ; 30 cm.Englishinfo:eu-repo/semantics/openAccessCauchy type integralHölder conditionSingular integralIndexVerticityHomogeneous Riemann boundary value problemNon-homogeneous Riemann boundary value problemThesisB053294