论文标题

HAHN多项I型的多项式多项式:超剖分表达式

Hahn multiple orthogonal polynomials of type I: Hypergeometrical expressions

论文作者

Branquinho, Amílcar, Díaz, Juan E. F., Foulquié-Moreno, Ana, Mañas, Manuel

论文摘要

就坎佩·德·费里埃(KampéDeFériet)超测量系列而言,HAHH多项多项式的显式表达式。正交和生物三相关系已被证明。然后,完成了多个正交多项式I类型的ASKEY方案的一部分。特别是,对于雅各比·派尼罗(Jacobi-Piñeiro),梅克斯纳(Meixner I),梅克斯纳(Meixner I),梅克斯纳(Meixner I),米尔夫库(Meixner II),kravchuk,kravchuk,laguerre I,laguerre I,laguerre i,laguerre ii和Charlierer家族,给出了多个正交多项式的多种正交多项式,以I型的多种正交多项式给出了大量的正交多项式。

Explicit expressions for the Hahn multiple polynomials of type I, in terms of Kampé de Fériet hypergeometric series, are given. Orthogonal and biorthogonal relations are proven. Then, part of the Askey scheme for multiple orthogonal polynomials type I is completed. In particular, explicit expressions in terms of generalized hypergeometric series and Kampé de Fériet hypergeometric series, are given for the multiple orthogonal polynomials of type I for the Jacobi-Piñeiro, Meixner I, Meixner II, Kravchuk, Laguerre I, Laguerre II and Charlier families.

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