On a certain functional condition

On Certain Sufficient Condition Involving Gaussian Hypergeometric Functions

Recommended by Teodor Bulboac˘ a The authors define a new subclass of A of functions involving complex order in the open unit disk U. For this new class, we obtain certain inclusion properties involving the Gaussian hypergeometric functions.

A Note on Artinianess of Certain Generalized

Let ?: R0?R be a ring homomorphism and suppose that a and a0, respectively, are ideals of R and R0 such that is an Artinian ring. Let M and N be two finitely generated R-modules and suppose that (R0,m0) is a local ring. In this note we prove that the R-modules and are Artinian for all integers i and j, whenever and . Also we will show that if a is principal, then the R-modules and ...

On a functional equation satisfied by certain Dirichlet series

by giving a representation of L(s) in terms of Hurwitz zeta functions. That representation allowed us to get some information about zeros and poles; nevertheless no functional equation could be deduced from it. In this paper following a classical argument we obtain for L(s) as above, under suitable hypothesis, a functional equation of Riemann’s type. More precisely, let us consider the Dirichle...

Conformally Geodesic Mappings Satisfying a Certain Initial Condition

In this paper we study conformally geodesic mappings between pseudo-Riemannian manifolds (M, g) and (M̄, ḡ), i.e. mappings f : M → M̄ satisfying f = f1 ◦ f2 ◦ f3, where f1, f3 are conformal mappings and f2 is a geodesic mapping. Suppose that the initial condition f∗ḡ = kg is satisfied at a point x0 ∈ M and that at this point the conformal Weyl tensor does not vanish. We prove that then f is neces...

Functional Approach to Condition