Functions of a complex variable

a contrastive study of rhetorical functions of citation in iranian and international elt scopus journals

writing an academic article requires the researchers to provide support for their works by learning how to cite the works of others. various studies regarding the analysis of citation in m.a theses have been done, while little work has been done on comparison of citations among elt scopus journal articles, and so the dearth of research in this area demands for further investigation into citatio...

Functions of a complex variable - theory and technique

Meromorphic functions of one complex variable. A survey

This is an appendix to the English translation of the book by A. A. Goldberg and I. V. Ostrovskii, Distribution of values of meromorphic functions, Moscow, Nauka, 1970. An English translation of this book is to be published soon by the AMS. In this appendix we survey the results obtained on the topics of the book after 1970. The literature on meromorphic functions is very large. There is a comp...

Real and complex variable positive definite functions

In this paper we present an overview of the implications of our previously derived results for positive definite kernels on the general theory of positive definite functions. We begin by exploring the consequences of a set of differential inequalities on the global behaviour of a smooth positive definite function of one real variable. Then we propose a natural extension of this study to the com...

Rational Functions of a Complex Variable and Related Potential Curves.

This implies that in this case n2r is the kernel of the natural homomorphism of 7r2 into the 2-dimensional integral homology group of X. Comparing this with recent results of Hopf5 yields numerous examples of spaces with k3 $ 0. 5. Generalizations.-1°: The construction of k3 generalizes in an obvious fashion to yield a cohomology class kn+1 e Hn+l(irj, 7r,,), provided that 7ri = 0 for 1 < i < n...