We prove an incidence theorem for points and curves in the complex plane. Given a set of m points in R and a set of n curves with k degrees of freedom, Pach and Sharir proved that the number of point-curve incidences is O ( m k 2k−1n 2k−2 2k−1 +m+n ) . We establish the slightly weaker bound Oε ( m k 2k−1 n 2k−2 2k−1 +m+n ) on the number of incidences between m points and n (complex) algebraic c...

In this research, using the Poisson-type Miller-Ross distribution, we introduce new subclasses Sakaguchi type of star functions with respect to symmetric and conjugate points discusses their characteristic properties coefficient estimates. Furthermore, proved that class is closed by an integral transformation. addition, pointed out some listed geometric according specializing in parameters are ...

in this work, we obtain the fekete-szegö inequalities for the class $p_{sigma }left( lambda ,phi right) $ of bi-univalent functions. the results presented in this paper improve the recent work of prema and keerthi [11].

We study cubature formulas for d-dimensional integrals with an arbitrary symmetric weight function of tensor product form. We present a construction that yields a high polynomial exactness: for fixed degree l = 5 or l = 7 and large dimension d the number of knots is only slightly larger than the lower bound of Möller and much smaller compared to the known constructions. We also show, for any od...

We study cubature formulas for d-dimensional integrals with an arbitrary symmetric weight function of product form. We present a construction that yields a high polynomial exactness: for fixed degree = 5 or = 7 and large dimension d the number of knots is only slightly larger than the lower bound of Möller and much smaller compared to the known constructions. We also show, for any odd degree = ...