About the growth of entire functions solutions of linear algebraic $q$-difference equations

Jean-Pierre Ramis

Displaying similar documents to “About the growth of entire functions solutions of linear algebraic $q$ -difference equations”

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 $f (z) = \sum_{k = 0} a_{k} z^{n_{k}} (0 = n_{0} < n_{1} < n_{2} < ...)$ has Fejér gaps if $\sum_{k = 1}^{\infty} 1 / n_{k} < \infty .$ The main result of this paper is as follows: An entire function with Fejér gaps has no finite deficient value.

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.

Interpolation of entire functions on regular sparse sets and $q$ -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.

A note on entire functions of infinite order

Mansoor Ahmad (1968)

Compositio Mathematica

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Estimation of the hyper-order of entire solutions of complex linear ordinary differential equations whose coefficients are entire functions.

Belaïdi, Benharrat (2002)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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An entire function sharing one small entire function with its derivative.

Xiao, Yong-Huo, Li, Xiao-Min (2008)

Applied Mathematics E-Notes [electronic only]

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On entire functions of infinite order

Mansoor Ahmad (1956-1958)

Compositio Mathematica

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Displaying similar documents to “About the growth of entire functions solutions of linear algebraic q -difference equations”

The deficiency of entire functions with Fejér gaps

On approximation and interpolation of entire functions with index-pair (p,q).

Interpolation of entire functions on regular sparse sets and q -Taylor series

A note on entire functions of infinite order

Estimation of the hyper-order of entire solutions of complex linear ordinary differential equations whose coefficients are entire functions.

An entire function sharing one small entire function with its derivative.

On entire functions of infinite order

Displaying similar documents to “About the growth of entire functions solutions of linear algebraic $q$ -difference equations”

Interpolation of entire functions on regular sparse sets and $q$ -Taylor series