Invariance of the generalized oscillator under linear transformation of the related system of orthogonal polynomials
Borzov, V. V. · Damaskinsky, E. V.
الأصل · EN
We consider two families of polynomials P= and Q=Here and below we consider only monic polynomials. orthogonal on the real line with respect to probability measures μ and ν respectively. Let and connected by the linear relations Qₙ(x)=Pₙ(x)+a₁Pₙ₋₁(x)+...+aₖPₙ₋ₖ(x). Let us denote Aₚ and AQ generalized oscillator algebras associated with the sequences P and Q. In the case k=2 we describe all pairs (P,Q), for which the algebras Aₚ and AQ are equal. In addition, we construct corresponding algebras of generalized oscillators for arbitrary k≥1.
الترجمة العربية
لا توجد ترجمة عربية لهذا البحث بعد. كن أوّل من يطلبها: تستغرق ثوانيَ معدودة، وتُحفظ النتيجة لكل قارئ قادم.