On ideals defined by asymptotic distribution functions of ratio block sequences

On difference sequence spaces defined by Orlicz functions without convexity

In this paper, we first define spaces of single difference sequences defined by a sequence of Orlicz functions without convexity and investigate their properties. Then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.  

Cofiniteness of Local Cohomlogy Based on a Non–Closed Support Defined by a Pair of Ideals

On meromorphically multivalent functions defined by multiplier transformation

The purpose of this paper is to derive various useful subordination properties and characteristics for certain subclass of multivalent meromorphic functions, which are defined here by the multiplier transformation. Also, we obtained inclusion relationship for this subclass.

ON GRADED LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS

Let $R = bigoplus_{n in mathbb{N}_{0}} R_{n}$ be a standardgraded ring, $M$ be a finitely generated graded $R$-module and $J$be a homogenous ideal of $R$. In this paper we study the gradedstructure of the $i$-th local cohomology module of $M$ defined by apair of ideals $(R_{+},J)$, i.e. $H^{i}_{R_{+},J}(M)$. Moreprecisely, we discuss finiteness property and vanishing of thegraded components $H^...

Asymptotic properties of functions defined on arithmetic semigroups

Asymptotic properties of certain special arithmetical functions, like the divisor function τ(n), the sum-of-divisors function σ(n) and the Euler function φ(n) can be investigated in the general setting of arithmetical semigroups. The book of J. Knopfmacher [8] contains a detailed study of such properties, including asymptotic formulae with error estimates and extremal orders of magnitude of fun...