Meromorphic and Entire Functions

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We consider a function f holomorphic in the unit disc D with f(D) ⊂ D and f(0) = f(z 0) = 0, for 0 < |z 0| < 1. We obtain sharp lower bounds on the angular derivative f′(c) at the point c where |c| = |f(c)| = 1.

• BÜLENT NAFİ ÖRNEK
• TAHİR AZEROĞLU

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• ÖZGÜR MARTİN

We prove that the space of rational curves of a fixed degree on any smooth cubic hypersurface of dimension at least four is irreducible and of the expected dimension. Our methods also show that the space of rational curves of a fixed degree on a general hypersurface in of degree 2d ≤ min (n + 4, 2n − 2) and dimension…

Geometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of the complex plane. For each of the six functions we determine the radius of st…

• HALİT ORHAN

In this paper we will analysis the concepts of bivariate entire complex valued functions of exponential type. To accomplish this goal, we begin with the presentation of a notion of bounded index for bivariate complex functions. Using this notion we present a series of sufficient conditions that ensure that exponential…

• FATİH NURAY

Vector-valued bivariate entire functions of bounded index satisfying a system of differential equations, Mat. Stud. 49

• FATİH NURAY

In this paper, we study the estimation for algebraic polynomials in the bounded and unbounded regions bounded by piecewise Dini smooth curve having interior and exterior zero angles.

We study the behaviour of the solutions of the following difference equation with the max operator: xn+1=max{1/xn,Axn−1} , n∈ℕ0 , where parameter A∈ℝ and initial values x−1 and x0 are nonzero real numbers. In the most of the cases we determine the behaviour of the solutions in the terms of the initial values x−1 and x…

• CENGİZ ÇİNAR

This paper examines the relationship between the concept of bounded index and the radius of equivalence, respectively p-valence, of entire bivariate functions and their partial derivatives at arbitrary points in C^2.

Abstract Kim et al. (Proc. Jangjeon Math. Soc. 21(4):589–598, 2018) have studied the central Fubini polynomials associated with central factorial numbers of the second kind. Motivated by their work, we introduce degenerate version of the central Fubini polynomials. We show that these polynomials can be represented by…

• SERKAN ARACI

We study real nonsingular cubic hypersurfaces X ⊂ P 5 X\subset P^5 up to deformation equivalence combined with projective equivalence and prove that they are classified by the conjugacy classes of involutions induced by the complex conjugation in H 4 ( X ) H_4(X) . Moreover, we provide a graph Γ K 4 \Gamma _{K4} whose…

• SERGEY FINASHIN