Asymptotics for Ménage polynomials and certain hypergeometric polynomials of type \(_{3}F_{1}\) (Q435179)
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scientific article; zbMATH DE number 6054347
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotics for Ménage polynomials and certain hypergeometric polynomials of type \(_{3}F_{1}\) |
scientific article; zbMATH DE number 6054347 |
Statements
Asymptotics for Ménage polynomials and certain hypergeometric polynomials of type \(_{3}F_{1}\) (English)
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11 July 2012
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The main objective of the paper is to establish strong and weak asymptotics for suitably normalized Ménage polynomials and more general for a class of hypergeometric polynomials of type \({_3}F_{1}\) containing the above mentioned polynomials. The behavior of the zeros is also studied.
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strong asymptotics
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weak asymptotics
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asymptotic distribution of zeros
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Ménage polynomials
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hypergeometric polynomials
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0.8838137
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0.8837114
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0.8721341
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0.85928726
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0.85684055
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