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For each n,N ≥ 1 let IN(Dn) denote the set of rational inner functions on Dn of degree strictly less than N. We construct a set of points 1, ..., Nn ∈ Dn with the following property: if f ∈ IN(Dn) a...
In this article, we study exponential sums mod p m, or more generally,p-adic oscillatory integrals attached to Laurent polynomials which are non-degenerate with respect to its Newton polytope at infin...
We prove that certain quotients of entire functions are characteristic functions. Under some conditions,the probability measure corresponding to a characteristic function of that type has a density wh...
In the present paper, we study the polynomial approximation of entire functions over Jordan domains by using Faber polynomials. The coefficient characterizations of generalized order and generalized...
This article is devoted to subharmonic functions u in the unit ball. It studies how growth conditions on u impact on the Riesz measure associated to u. More precisely, the growth hypotheses involve ...
In this paper, we establish some results concerning the Hadamard product of certain meromorphic p-valent starlike and meromorphic p-valent convex functions analogous to those obtained by Vinod Kumar (...
Almost periodic functions and distributions associated with the differential-difference Dunkl operator Dμ of index μ on R are introduced and studied in this work. We give their expansions in terms o...
In this paper a new class of monogenic functions is introduced.
The aim of this work is to introduce and study Hankel operators on infinite dimensional space of entire functions with exponential growth conditions. First, we give a necessary and sufficient condit...
This paper introduces and examines a new class of functions called Stepanov-like pseudo almost periodic functions (or Sp-pseudo almost periodic functions), which generalizes in a natural fashion the...
The function (x=e)x G(x+1=2) strictly logarithmically completely monotonic on (0;¥) is proved and an alternative proof of the function [G(x+1)]1=x x ¡1+ 1x ¢x strictly logarithmical...
The aim of this paper is to prove some inequalities for -valent meromorphic functions in the punctured unit disk and find important corollaries.
This note gives a simple method for obtaining inequalities for ratios involving 3-log-convex functions. As an example, an inequality for Wallis's ratio of Gautchi-Kershaw type is obtained. Inequalitie...

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