New series expansions for the confluent hypergeometric function M(a,b,z)M(a,b,z)

Three new series expansions of the confluent hypergeometric function M(a,b,z)M(a,b,z) in terms of elementary functions are given. The starting point is an integral representation of M(a,b,z)M(a,b,z). Then, different multi-point Taylor expansions of an appropriate function in the integrand are used....

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Veröffentlicht in:	Applied mathematics and computation 2014-05, Vol.235, p.26-31
Hauptverfasser:	Lopez, Jose L, Sinusia, Ester Perez
Format:	Artikel
Sprache:	eng
Schlagworte:	Computation Hypergeometric functions Integrals Mathematical analysis Mathematical models Power series Representations Series expansion
Online-Zugang:	Volltext
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