2017
Том 69
№ 9

All Issues

Two-Dimensional Generalized Moment Representations and Padé Approximations for Some Humbert Series

Chernets’ka L. O., Golub A. P.

Full text (.pdf)


Abstract

By extending Dzyadyk’s method of generalized moment representations to the case of two-dimensional number sequences, we construct and study Padé approximants for some confluent Humbert hypergeometric series.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 10, pp 1460-1478.

Citation Example: Chernets’ka L. O., Golub A. P. Two-Dimensional Generalized Moment Representations and Padé Approximations for Some Humbert Series // Ukr. Mat. Zh. - 2013. - 65, № 10. - pp. 1315–1331.

Full text