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

Michael Welter

Displaying similar documents to “Interpolation of entire functions on regular sparse sets and $q$ -Taylor series”

On entire functions of infinite order

Mansoor Ahmad (1956-1958)

Compositio Mathematica

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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.

On generalized exponential functions

J. Mikusiński (1953)

Studia Mathematica

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A $q$ -logarithmic analogue of Euler’s sine integral

Nobushige Kurokawa, Masato Wakayama (2005)

Rendiconti del Seminario Matematico della Università di Padova

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Zero density estimates of L-functions associated with cusp forms

Yuichi Kamiya (1998)

Acta Arithmetica

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On bases in the spaces of Dirichlet transformations of finite order $ρ$

Kamthan, P.K., Singh Gautam, S.K. (1979)

Portugaliae mathematica

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Displaying similar documents to “Interpolation of entire functions on regular sparse sets and q -Taylor series”

On entire functions of infinite order

The deficiency of entire functions with Fejér gaps

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

On generalized exponential functions

A q -logarithmic analogue of Euler’s sine integral

Zero density estimates of L-functions associated with cusp forms

On bases in the spaces of Dirichlet transformations of finite order ρ

Displaying similar documents to “Interpolation of entire functions on regular sparse sets and $q$ -Taylor series”

A $q$ -logarithmic analogue of Euler’s sine integral

On bases in the spaces of Dirichlet transformations of finite order $ρ$