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Complex line q-integrals and q-Green’s formula on the plane
(Sciendo, 2018) Koca K.; Gençtürk İ.; Aydin M.
In this study, we firstly present the line q-integral of a complex function f (z) on a piece-wise smooth rectifiable curve ? in complex plane. After that, on a square set, we define the multiple q-integral. At the end of this study, we prove the q-Green’s formula. © 2018, Sciendo. All rights reserved.
A representation of solutions for a system of complex differential equations in the plane and periodic solutions
(Razmadze Mathematical Institute, 2004) Koca K.; Çelebi A.O.
In this article, first we will obtain a representation of the solutions for the system of complex differential equations wz = A(z, z)w wz = B(z, z)w, A, B ? C1 (G), which are defined in a simply-connected domain G ? C containing z0 = 0 and satisfying the functional relations w (z1 + z2) = w (z1) + w (z2), w (0) = 1; z1, z2, z1 + z2 ? G. Then we will discuss the conditions under which the solutions of the system are periodic. © 2004, Razmadze Mathematical Institute. All rights reserved.