Open AccessBinomial Transforms of the Padovan and Perrin Matrix Sequences
Author(s) -
Nazmiye Yılmaz,
Necati Taşkara
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/497418
Subject(s) - mathematics , binomial (polynomial) , binomial coefficient , matrix (chemical analysis) , binomial theorem , recurrence relation , algebra over a field , pure mathematics , discrete mathematics , statistics , combinatorics , materials science , composite material
We apply the binomial transforms to Padovan and Perrinmatrix sequences. Also, the Binet formulas, summations, and generating functions of these transforms are found by recurrence relations. Finally, weillustrate the relations between these transforms by deriving new formulas
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