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A note on the solvability of homogeneous Riemann boundary problem with infinity index

Juan Bory-Reyes (2021)

Communications in Mathematics

In this note we establish a necessary and sufficient condition for solvability of the homogeneous Riemann boundary problem with infinity index on a rectifiable open curve. The index of the problem we deal with considers the influence of the requirement of the solutions of the problem, the degree of non-smoothness of the curve at the endpoints as well as the behavior of the coefficient at these points.

Approximation of entire functions of slow growth on compact sets

G. S. Srivastava, Susheel Kumar (2009)

Archivum Mathematicum

In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth have been obtained in terms of approximation and interpolation errors.

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