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Mathematical Communications, Vol. 20 No. 1, 2015.

Original scientific paper

On derivation operators with respect to the Duhamel convolution in the space of analytic functions

Yuriy Stepanovich Linchuk ; Department of Mathematical Analysis, Chernivtsi National University, Kotsjubyns'koho 2, Chernivtsi 58 012, Ukraine

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Abstract

We solve the Leibniz operator equation with respect to the Duhamel convolution in the class of linear continuous operators that act in the space of functions analytic in arbitrary starlike domain of the complex plane with respect to the origin.

Keywords

space of analytic functions; operator equation; Duhamel convolution; Duhamel product

Hrčak ID:

140384

URI

https://hrcak.srce.hr/140384

Publication date:

1.7.2015.

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