About the growth of entire functions solutions of linear algebraic -difference equations
Jean-Pierre Ramis (1992)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “On radial limit functions for entire solutions of second order elliptic equations in R2.”
About the growth of entire functions solutions of linear algebraic -difference equations
On approximation and interpolation of entire functions with index-pair (p,q).
H. S. Kasana, Devendra Kumar (1994)
Publicacions Matemàtiques
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In this paper we have studied the Chebyshev and interpolation errors for functions in C(E), the normed algebra of analytic functions on a compact set E of positive transfinite diameter. The (p,q)-order and generalized (p,q)-type have been characterized in terms of these approximation errors. Finally, we have obtained a saturation theorem for f ∈ C(E) which can be extended to an entire function of (p,q)-order 0 or 1 and for entire functions of minimal generalized (p,q)-type.
Approximation of functions by linear combinations of exponentials.
F. Balaguer Sunyer (1965)
Collectanea Mathematica
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Entire elliptic convolution equations in spaces of generalized distributions
Abdullah, S., Zielezny, Z. (1983-1984)
Portugaliae mathematica
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Entire functions uniformly bounded on balls of a Banach space
José M. Ansemil, Jerónimo López-Salazar, Socorro Ponte (2011)
Studia Mathematica
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Let X be an infinite-dimensional complex Banach space. Very recently, several results on the existence of entire functions on X bounded on a given ball B₁ ⊂ X and unbounded on another given ball B₂ ⊂ X have been obtained. In this paper we consider the problem of finding entire functions which are uniformly bounded on a collection of balls and unbounded on the balls of some other collection.
The deficiency of entire functions with Fejér gaps
Takafumi Murai (1983)
Annales de l'institut Fourier
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We say that an entire function has Fejér gaps if The main result of this paper is as follows: An entire function with Fejér gaps has no finite deficient value.
Interpolation of entire functions on regular sparse sets and -Taylor series
Michael Welter (2005)
Journal de Théorie des Nombres de Bordeaux
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We give a pure complex variable proof of a theorem by Ismail and Stanton and apply this result in the field of integer-valued entire functions. Our proof rests on a very general interpolation result for entire functions.