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Orthogonal properties for a typical class of hypergeometric functions

✍ Scribed by S. D. Bajpai


Publisher
Springer Netherlands
Year
1994
Tongue
English
Weight
217 KB
Volume
29
Category
Article
ISSN
0031-5303

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A Criterion of Orthogonality for a Class
✍ Xingwei Zhou; Weifeng Su πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 67 KB

Suppose that m(ΞΎ ) is a trigonometric polynomial with period 1 satisfying m(0) = 1 and |m(ΞΎ In this paper, we prove a generalization: if m(ΞΎ ) has no zeros in [-1 10 , 1 10 ] and |m( 1 6 )| + m(-1 6 )| > 0, then Ο•(x) is an orthogonal function.