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On Series Expansions for Meromorphic Functions

โœ Scribed by D.S. Tselnik

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
547 KB
Volume
193
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

Series expansions for meromorphic functions obtained in the author's earlier paper (Compiex Variables Theory Appl. 25 (1994), 159-171) are derived in a different way-namely, from Cauchy's theorem on partial fraction expansionsin the present paper. In addition to that, a certain result of Cauchy's theorem just mentioned is specified in this paper (which allowed us to somewhat reformulate the theorem). Also, expansions of analytic functions on disks containing poles of the functions are studied, and examples of such expansions are given. O 1995 Academic Press, Inc.

๐Ÿ“œ SIMILAR VOLUMES

Chebyshev expansions for wave functions
Chebyshev expansions for wave functions
โœ V.B. Sheorey ๐Ÿ“‚ Article ๐Ÿ“… 1974 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 755 KB

Chebyshev series expansion of solutions of linear differential equations which occur in atomic scattering problems is discussed. We apply this technique to obtain both the regular and the irregular radial Coulomb wave functions. The Chebyshev expansion technique is extended to evaluate linearly inde