J. Dziok Institute of Mathematics, University of Rzeszów, ul. Rejtana 16A, 35-310 Rzeszów, Poland Correspondence should be addressed to J. Dziok, [email protected] Received 2 July 2009; Revised 21 November 2009; Accepted 5 January 2010 Academic Editor: Vladimir Mityushev Copyright q 2010 J. Dziok. This is an open access article distributed under the Creative Commons Attribution License, wh...

where f is meromorphic and g is entire (g may be meromorphic when f is rational). A nonlinear meromorphic function F (z) is called prime (pseudo prime) if every factorization of form (1) implies that either f is bilinear or g is linear (either f is rational or g is a polynomial). Clearly, a prime function is an analogy of a prime number. Over the past thirty years, many classes of prime or pseu...

The rational meromorphic functions on $\mathbb{C}\backslash\mathbb{R}$ are studied. We consider the some classes of one, as generalized Nevanlinna $\mathbf{N}_{\kappa}$ and Stieltjes $\mathbf{N}_{\kappa}^{k}$ classes. By Euclidean algorithm, we can find indices $\kappa$ $k$, i.e. determine which class function belongs to $\mathbf{N}_{\kappa}^{k}$.

It is well-known that the classes of starlike, convex and close-to-convex univalent functions are closed under convolution with convex functions. In this paper, closure properties under convolution of general classes of meromorphic p-valent functions that are either starlike, convex or close-to-convex with respect to n-ply symmetric, conjugate and symmetric conjugate points are investigated. 20...

Let M be a complex manifold, X ⊂ M a singular hypersurface. We study residues of top-dimensional meromorphic forms with poles along X. Applying resolution of singularities we obtain residue classes either in L -cohomology of X or in the intersection cohomology. The conditions allowing to construct these residue classes coincide. They can be formulated in terms of weight filtration. In the Appen...