the object of this paper to derive certain sucient condi-tions for close-to-convexity of certain analytic functions dened on theunit disk

The object of this paper to derive certain sucient condi-tions for close-to-convexity of certain analytic functions dened on theunit disk  

Here we derive multivariate weighted fractional representation formulae involving ordinary partial derivatives of …rst order. Then we present related multivariate weighted fractional Ostrowski type inequalities with respect to uniform norm. 2010 AMS Mathematics Subject Classi…cation : 26A33, 26D10, 26D15.

Here we derive a multivariate fractional representation formula involving ordinary partial derivatives of …rst order. Then we prove a related multivariate fractional Ostrowski type inequality with respect to uniform norm. 2010 AMS Mathematics Subject Classi…cation : 26A33, 26D10, 26D15.

We present a topos-theoretic interpretation of (a categorical generalization of) Fraïssé's construction in Model Theory, with applications to homogeneous models and countably categorical theories. Mathematics Subject Classi cation (2010). Primary 03G30; Secondary 03C35, 18C10, 18B25.

We provide a precise description of the class of graphs that admit a one-bend drawing, i.e., an orthogonal drawing with at most one bend per edge. The main tools for the proof are Eulerian orientations of graphs and discrete harmonic functions. Mathematics Subject Classi cations (2010) 05C62,

We show a way to compute, to a high level of precision, the probability that a randomly selected permutation of length n is non-overlapping. As a byproduct, we nd some combinatorial identities that are routine to prove using generating functions, but di cult to prove bijectively. Mathematics Subject Classi cation(2010). 05A16, 05A05, 05A10.

Vickers and Wilson ([26]) have shown global hyperbolicity of the conical spacetime in the sense of well-posedness of the initial value problem for the wave equation in generalized functions. We add the aspect of metric splitting and preliminary thoughts on Cauchy hypersurfaces and causal curves. AMS Mathematics Subject Classi cation (2010): 46F30, 83C75

The purpose of this work is to present a class harmonic univalent functions de?ned by the Dziok-Srivastava operator. Some geometric properties like coefficients conditions, distortion theorem, convolution (Hadamard product), convex combination and extreme points are investigated.
 2000 Mathematics Subject Classi?cation: 30C45, 30C50

In this paper we show that the sets of plusrespectively minus-decomposable permutations of a regular class under the rank encoding form regular sublanguages. Plusrespectively minus-decomposable permutations are permutations allowing for a special kind of block-decomposition. The language theoretic results shown have di erent approaches, even though the properties of plusand minus-decomposabilit...