The generalized confluent supersymmetry algorithm: Representations and integral formulas

Schulze-Halberg A., YEŞİLTAŞ Ö.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.59, sa.4, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 59 Sayı: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1063/1.5023234
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Gazi Üniversitesi Adresli: Evet

Özet

We extend the confluent version of the higher-order supersymmetry (SUSY) formalism to general linear differential equations of second order. Closed-form representations of transformation functions, their Wronskians, and of the general solutions to SUSY-transformed equations are derived. We use these results to construct formulas for resolving multiple integrals of special functions in terms of Wronskians. Published by AIP Publishing.