Vieta's triangular array and a related family of polynomials
If n≥1, let the nth row of an infinite triangular array consist of entries B(n,j)=nn−j(jn−j), where 0≤j≤[12n].
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| Format: | Article |
| Language: | English |
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Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000261 |
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| _version_ | 1832554646491627520 |
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| author | Neville Robbins |
| author_facet | Neville Robbins |
| author_sort | Neville Robbins |
| collection | DOAJ |
| description | If n≥1, let the nth row of an infinite triangular array consist of entries
B(n,j)=nn−j(jn−j), where 0≤j≤[12n]. |
| format | Article |
| id | doaj-art-8ef400e66414476ca503befe16d01895 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8ef400e66414476ca503befe16d018952025-02-03T05:51:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114223924410.1155/S0161171291000261Vieta's triangular array and a related family of polynomialsNeville Robbins0Department of Mathematics, San Francisco State University, San Francisco 94132, CA, USAIf n≥1, let the nth row of an infinite triangular array consist of entries B(n,j)=nn−j(jn−j), where 0≤j≤[12n].http://dx.doi.org/10.1155/S0161171291000261binomial coefficientFibonacci numberLucas number irreducible polynomialChebychev polynomial. |
| spellingShingle | Neville Robbins Vieta's triangular array and a related family of polynomials International Journal of Mathematics and Mathematical Sciences binomial coefficient Fibonacci number Lucas number irreducible polynomial Chebychev polynomial. |
| title | Vieta's triangular array and a related family of polynomials |
| title_full | Vieta's triangular array and a related family of polynomials |
| title_fullStr | Vieta's triangular array and a related family of polynomials |
| title_full_unstemmed | Vieta's triangular array and a related family of polynomials |
| title_short | Vieta's triangular array and a related family of polynomials |
| title_sort | vieta s triangular array and a related family of polynomials |
| topic | binomial coefficient Fibonacci number Lucas number irreducible polynomial Chebychev polynomial. |
| url | http://dx.doi.org/10.1155/S0161171291000261 |
| work_keys_str_mv | AT nevillerobbins vietastriangulararrayandarelatedfamilyofpolynomials |