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Sequences of Numbers Meet the Generalized Gegenbauer-Humbert Polynomials
Joint Authors
Weng, Tsui-Wei
Shiue, Peter J.-S.
He, Tian-Xiao
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-26
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Here we present a connection between a sequence of numbers generated by a linear recurrence relation of order 2 and sequences of the generalized Gegenbauer-Humbert polynomials.
Many new and known formulas of the Fibonacci, the Lucas, the Pell, and the Jacobsthal numbers in terms of the generalized Gegenbauer-Humbert polynomial values are given.
The applications of the relationship to the construction of identities of number and polynomial value sequences defined by linear recurrence relations are also discussed.
American Psychological Association (APA)
He, Tian-Xiao& Shiue, Peter J.-S.& Weng, Tsui-Wei. 2011. Sequences of Numbers Meet the Generalized Gegenbauer-Humbert Polynomials. ISRN Discrete Mathematics،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-489468
Modern Language Association (MLA)
He, Tian-Xiao…[et al.]. Sequences of Numbers Meet the Generalized Gegenbauer-Humbert Polynomials. ISRN Discrete Mathematics No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-489468
American Medical Association (AMA)
He, Tian-Xiao& Shiue, Peter J.-S.& Weng, Tsui-Wei. Sequences of Numbers Meet the Generalized Gegenbauer-Humbert Polynomials. ISRN Discrete Mathematics. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-489468
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489468