Entire Functions
On invariance of order and the area property for finite type entire functions
... an entire function that has only finitely many critical and asymptotic ...an entire function is determined by this combi- natorial ...of entire functions, and pushforwards of quadratic ...
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DENSITY OF HYPERBOLICITY FOR CLASSES OF REAL TRANSCENDENTAL ENTIRE FUNCTIONS AND CIRCLE MAPS
... We give positive answers to all of the above questions and in fact establish density of hyperbolicity for a large general class of parameter spaces of transcendental entire functions and circle maps. To do ...
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On the Growth and Approximation of Transcendental Entire Functions on Algebraic Varieties
... transcendental entire functions f ∈ ⊕(X), the space of holomorphic functions on the complete intersection algebraic variety X , in terms of the best polynomial approximation error in L p -norm, 0 ...
8
Entire functions sharing a small function with their two difference operators
... small functions of f (z) by S(f ...meromorphic functions and let a(z) be a small entire function of f (z) and ...on entire functions that share a small periodic entire function ...
9
Further growth of iterated entire functions in terms of its maximum term
... iterated entire functions as compared to the growth of the maximum term of the related function to generalize some earlier ...non-constant entire functions of order (lower order) ρ f (λ f ), ρ ...
6
Uniqueness problems on entire functions that share a small function with their difference operators
... In this paper, we consider uniqueness problems on entire functions that share a small periodic entire function with their two difference operators and obtain some results. Our first theorem provides a ...
11
The space of entire functions of two variables as a metric space
... Theor of Analytic Functions of Several Complex Variables, American Mathematical Society, Providence, 1963... Three classes of linear functionals on the space of entire functions.[r] ...
15
Relative orders and slowly changing functions oriented growth analysis of composite entire functions
... Definition 1.5. During the past decades, several researchers have already been exploring their studies in the area of comparative growth properties of composite entire functions in diffe[r] ...
14
Basic Fourier transform on the space of entire functions of logarithm order 2
... We denote by A the space of entire functions on C . This space is endowed with the topol- ogy of the uniform convergence on compact subsets of C . Thus, A is a Frechet space. A denotes the strong dual space ...
13
Some results on entire functions that share one value with their difference operators
... on entire functions that share one value with their difference ...non-constant entire function such that ρ 2 (f ) < 1, a( = 0) be a finite constant, and n and m be positive integers ...
12
A note on entire functions sharing a finite set with their difference operators
... an entire function is equal to its difference operator if it has a growth property and shares a set, where the set consists of two entire functions of smaller ...
7
Note on a role for entire functions of the classes P and P*
... P., Jr., Inequalities for asymmetric entire functions, lllinois Journal of Math, i 1957, pg.. entire functions representable as a Fourier integral, to appear, Journal of Math..[r] ...
6
Some Comparative Growth Properties of Entire Functions with Zero Order as Defined by Datta and Biswas
... Bahin High School, P.O. Abstract — In this paper we compare the maximum term of composition of two entire functions with their corresponding left and right factors. Keywords — Entire [r] ...
9
On Approximation and Generalized Type of Entire Functions of Several Complex Variables
... Janik [ 1 ] obtained the characterizations of order of entire functions in terms of the approximation errors defined above. Later he obtained the characterizations of the generalized order [ 3 ] . In this ...
12
On the Growth of Iterated Entire Functions
... and Clunie [2] proved that the same is true for the ratio T(r,f◦g) T (r,f) . In [7] Singh proved some results dealing with the ratios of log T (r, f ◦ g) and T (r, f ) under some restrictions on the orders of f and g. In ...
5
5. The growth of iterated entire functions
... two entire functions f (z) and g(z) and following Lahiri and Banerjee [3] form the relative iterations of f (z) with respect to g(z) (defined below) and using this concept of relative iteration study growth ...
15
4.Polynomial Approximation and Interpolation of Entire Functions of Slow Growth in Several Complex Variables
... Abstract. In the present paper a characterization of the generalized order and type of entire functions of several complex variables by means of polyno- mial approximation and interpolation have been ...
10
Hyperbolic entire functions with bounded Fatou components
... hyperbolic entire functions with locally connected Julia sets where the escaping set does not contain any curves to ∞, or even (using recent results from [Rem14]) such examples where the Julia set contains ...
27
19.Maximum Term and Lower Order of Entire Functions of Several Complex Variables
... of entire functions of several complex ...of entire functions of several complex variables have been obtained in terms of their Taylor’s series ...of entire functions of several ...
9
Some inequalities in connection to relative orders of entire functions of several complex variables
... the functions which are not of regular growth are said to be of irregular ...an entire function of several complex variables for which relative order and relative lower order with respect to another ...
9