Fibonacci polynominals of order k, multinomial expansions and probability
The Fibonacci polynomials of order k are introduced and two expansions of them are obtained, in terms of the multinomial and binomial coefficients, respectively. A relation between them and probability is also established. The present work generalizes results of [2] - [4] and [5].
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000496 |
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| _version_ | 1832565539383279616 |
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| author | Andreas N. Philippou Costas Georghiou George N. Philippou |
| author_facet | Andreas N. Philippou Costas Georghiou George N. Philippou |
| author_sort | Andreas N. Philippou |
| collection | DOAJ |
| description | The Fibonacci polynomials of order k are introduced and two expansions of them are obtained, in terms of the multinomial and binomial coefficients, respectively. A relation between them and probability is also established. The present work generalizes results of [2] - [4] and [5]. |
| format | Article |
| id | doaj-art-db4a503e5b9e4dc0b2f94e0abf6cb0d3 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1983-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-db4a503e5b9e4dc0b2f94e0abf6cb0d32025-02-03T01:07:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016354555010.1155/S0161171283000496Fibonacci polynominals of order k, multinomial expansions and probabilityAndreas N. Philippou0Costas Georghiou1George N. Philippou2Department of Mathematics, Univeristy of Patras, Patras, GreeceSchool of Engineering, Univeristy of Patras, Patras, GreeceDepartment of General Studies, Higher Technical Institute, Nicosia, CyprusThe Fibonacci polynomials of order k are introduced and two expansions of them are obtained, in terms of the multinomial and binomial coefficients, respectively. A relation between them and probability is also established. The present work generalizes results of [2] - [4] and [5].http://dx.doi.org/10.1155/S0161171283000496Fibonacci polynomials of order kexpansionsmultinomial and binomial coefficientsprobability. |
| spellingShingle | Andreas N. Philippou Costas Georghiou George N. Philippou Fibonacci polynominals of order k, multinomial expansions and probability International Journal of Mathematics and Mathematical Sciences Fibonacci polynomials of order k expansions multinomial and binomial coefficients probability. |
| title | Fibonacci polynominals of order k, multinomial expansions and probability |
| title_full | Fibonacci polynominals of order k, multinomial expansions and probability |
| title_fullStr | Fibonacci polynominals of order k, multinomial expansions and probability |
| title_full_unstemmed | Fibonacci polynominals of order k, multinomial expansions and probability |
| title_short | Fibonacci polynominals of order k, multinomial expansions and probability |
| title_sort | fibonacci polynominals of order k multinomial expansions and probability |
| topic | Fibonacci polynomials of order k expansions multinomial and binomial coefficients probability. |
| url | http://dx.doi.org/10.1155/S0161171283000496 |
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