CONTINUATION OF MEROMORPHIC FUNCTIONS IN A LOCALLY CONVEX SPACE

Strongly almost ideal convergent sequences in a locally convex space defined by Musielak-Orlicz function

In this article, we introduce a new class of ideal convergent sequence spaces using an infinite matrix, Musielak-Orlicz function and a new generalized difference matrix in locally convex spaces. We investigate some linear topological structures and algebraic properties of these spaces. We also give some relations related to these sequence spaces.

Meromorphic Continuation of L-functions of P-adic Representations

On the Meromorphic Continuation of Degree Two L - Functions

We prove that the L-function of any regular (distinct Hodge numbers), irreducible, rank two motive over the rational numbers has meromorphic continuation to the whole complex plane and satisfies the expected functional equation. 2000 Mathematics Subject Classification: 11R39, 11F80, 11G40.

Meromorphic Continuation of Dynamical Zeta Functions via Transfer Operators

We describe a general method to prove meromorphic continuation of dynamical zeta functions to the entire complex plane under the condition that the corresponding partition functions are given via a dynamical trace formula from a family of transfer operators. Further we give general conditions for the partition functions associated with general spin chains to be of this type and provide various ...

On a Subclass of Meromorphic Close-to-Convex Functions

The main purpose of this paper is to introduce and investigate a certain subclass of meromorphic close-to-convex functions. Such results as coefficient inequalities, convolution property, inclusion relationship, distortion property, and radius of meromorphic convexity are derived.