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- W1520342518 abstract "Riordan arrays are useful for solving the combinatorial sums by the help of generating functions. Many theorems can be easily proved by Riordan arrays. In this paper we consider the Pascal matrix and define a new generalization of Fibonacci polynomials called<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mo stretchy=false>(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>-Fibonacci polynomials. We obtain combinatorial identities and by using Riordan method we get factorizations of Pascal matrix involving<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mo stretchy=false>(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>-Fibonacci polynomials." @default.
- W1520342518 created "2016-06-24" @default.
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- W1520342518 date "2012-01-01" @default.
- W1520342518 modified "2023-09-26" @default.
- W1520342518 title "Some Properties of the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mo stretchy=false>(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>-Fibonacci and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mo stretchy=false>(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>-Lucas Polynomials" @default.
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- W1520342518 doi "https://doi.org/10.1155/2012/264842" @default.
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