Displaying similar documents to “The deficiency of entire functions with Fejér gaps”

On entire functions represented by Dirichlet series. IV

Pawan Kumar Kamthan (1966)

Annales de l'institut Fourier

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Dans cet article, on démontre quelques théorèmes nouveaux relatifs aux fonctions entières f ( s ) sommes de séries de Dirichlet ; ces résultats sont relatifs, en particulier, aux dérivées de f ( s ) et à une généralisation de la formule de Poisson.

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.