POISSON KERNEL AND MULTILINEAR GENERATING-FUNCTIONS OF SOME ORTHOGONAL POLYNOMIALS

被引:19
|
作者
VERMA, A [1 ]
JAIN, VK [1 ]
机构
[1] BAREILLY COLL,DEPT MATH,BAREILLY 243001,UTTAR PRADESH,INDIA
关键词
D O I
10.1016/0022-247X(90)90306-Z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Multilinear generatings functions for the polynomials ∑ r=0 n n r(a;q)r(b;q)n-r are derived which on specialization yield the Poisson kernel and multilinear generating functions for the orthogonal polynomials like continuous q-Ultraspherical, Al-Salam-Chihara, q-Random Walk, etc. © 1990.
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页码:333 / 352
页数:20
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