数学季刊 ›› 1995, Vol. 10 ›› Issue (1): 24-33.

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Some Features of Hyperspherical Functins

  

  1. Yueyang  Teacher's  College  414000


  • 收稿日期:1990-03-12 出版日期:1995-03-30 发布日期:2025-03-28

Some Features of Hyperspherical Functins

  1. Yueyang  Teacher's  College  414000
  • Received:1990-03-12 Online:1995-03-30 Published:2025-03-28

摘要: Let  P(z) be n-degree hyperspherical polinomials,Q(z) be the second stort of hyperspherical functions,E.be an elipse on z-plane.In this paper,we found some inequalitys about P(z) and Q(z) on z-plane,and generalize inequality in paper [2] when α=0 to when a≥0. In addition,we also found two important expressions ofthe relation.

关键词: hyperspherical polinomial, hyperspherical function, Gegenbauer polinomial

Abstract: Let  P(z) be n-degree hyperspherical polinomials,Q(z) be the second stort of hyperspherical functions,E.be an elipse on z-plane.In this paper,we found some inequalitys about P(z) and Q(z) on z-plane,and generalize inequality in paper [2] when α=0 to when a≥0. In addition,we also found two important expressions ofthe relation.

Key words: hyperspherical polinomial, hyperspherical function, Gegenbauer polinomial

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