Weighted Integral Representations of Holomorphic Functions in the Unit Disc by Mittag–Leffler Kernels

Weighted Integral Representations of Holomorphic Functions in the Unit Disc by Mittag–Leffler Kernels

For weighted -classes of holomorphic functions in the unit disc, a family of weighted integral representations with a weighted function of type and with reproducing Mittag–Leffler kernels are obtained.

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Veröffentlicht in:Journal of contemporary mathematical analysis 2020-07, Vol.55 (4), p.224-234
1. Verfasser: Hayrapetyan, F. V.
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
Integrals
Kernels
Mathematical analysis
Mathematics
Mathematics and Statistics
Representations
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Beschreibung
Zusammenfassung:For weighted -classes of holomorphic functions in the unit disc, a family of weighted integral representations with a weighted function of type and with reproducing Mittag–Leffler kernels are obtained.
ISSN:1068-3623
1934-9416
DOI:10.3103/S1068362320040032