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Parabolic Cylinder Functions: Examples of Error Bounds For Asymptotic Expansions
Raimundas Vidunas, Nico M. Temme
Several asymptotic expansions of parabolic cylinder functions are discussed and error bounds for remainders in the expansions are presented. In particular Poincar{é}-type expansion…
math.CA2000
A generalization of Kummer's identity
Raimundas Vidunas
The well-known Kummer's formula evaluates the hypergeometric series 2F1(A,B;C;-1) when the relation B-A+C=1 holds. This paper deals with evaluation of 2F1(-1) series in the case wh…