Asymptotic expansion for the generalized hypergeometric function of F-P(P) type at large values of the argument

Demiralp M., Baykara N.

International Conference of Numerical Analysis and Applied Mathematics, Chalkis, Yunanistan, 10 - 14 Eylül 2004, ss.122-124 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: Chalkis
  • Basıldığı Ülke: Yunanistan
  • Sayfa Sayıları: ss.122-124
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

This work attempts to determine how the generalized hypergeometric function of F-p(p) type behaves when its argument tends to infinity. To this end we use the vector differential equation constructed by reducing the order and increasing the number of the unknowns by appropriate definitions. This vector differential equation as it stands does not permit us to match the expansions at zero and infinite values of the independent variable because infinity is the irregular singular point of the differential equation. This urges us to use a transform to get singular points in the resulting equation which are regular at most. This work constructs a constant transform matrix between the solutions at zero and infinity. (c) 2004 WILEY-VCH Verlag GmbH & Co. KGaA. Weinheim.