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Special transforms of the generalized bivariate Fibonacci and Lucas polynomials
2023
Journal:  
Hacettepe Journal of Mathematics and Statistics
Author:  
DOI:  
10.15672/hujms.1110311
Abstract:

This paper deals with the Catalan, Hankel, binomial transforms of the generalized bivariate Fibonacci and Lucas polynomials. Also, some useful results such as generating functions, Binet formulas, summations of transforms defined by using recurrence relations of these special polynomials are presented. Furthermore, certain important relations among these transforms are deduced by using obtained new formulas. Finally, the Catalan, Cassini, Vajda and d'Ocagne formulas for these transforms are also derived.

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2023
Journal:  
Hacettepe Journal of Mathematics and Statistics
Author:  
DOI:  
10.15672/hujms.1110311
Keywords:

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Hacettepe Journal of Mathematics and Statistics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

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Article : 1.771
Cite : 681
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Hacettepe Journal of Mathematics and Statistics