期刊
JOURNAL OF MATHEMATICAL PHYSICS
卷 49, 期 6, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.2939395
关键词
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The derivatives to any order of the confluent hypergeometric (Kummer) function F=(1)F(1)(a,b,z) with respect to the parameter a or b are investigated and expressed in terms of generalizations of multivariable Kampe de Feriet functions. Various properties (reduction formulas, recurrence relations, particular cases, and series and integral representations) of the defined hypergeometric functions are given. Finally, an application to the two-body Coulomb problem is presented: the derivatives of F with respect to a are used to write the scattering wave function as a power series of the Sommerfeld parameter. (c) 2008 American Institute of Physics.
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