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Full-Text Articles in Physical Sciences and Mathematics
Some Results On A Two Variables Pell Polynomials, Mohammed Abdulhadi Sarhan, Suha Shihab, Mohammed Rasheed
Some Results On A Two Variables Pell Polynomials, Mohammed Abdulhadi Sarhan, Suha Shihab, Mohammed Rasheed
Al-Qadisiyah Journal of Pure Science
In this study, Pell polynomials in two variables, and their properties are investigated. Some formulas for two variables Pell polynomials are derived by matrices. By defining special formula for Pell polynomials in one variable, new important properties of Pell polynomials in two variables can be enabled to derive. A new exact formula expressing the partial derivatives of Pell polynomials explicitly of any degree in terms of Pell polynomials themselves is proved. A novel explicit formula, which constructs the two explicit formulas, which construct the two-dimension Pell polynomials expansion coefficients of a first partial derivative of a differentiable function in terms …
On Some Properties Of Pell Polynomials, Semaa Hassan Aziz, Suha Shihab, Mohammed Rasheed
On Some Properties Of Pell Polynomials, Semaa Hassan Aziz, Suha Shihab, Mohammed Rasheed
Al-Qadisiyah Journal of Pure Science
This work starts by reviewing the Pell polynomials; its definition and some basic properties. Afterwards, some new properties of such polynomials are investigated. A novel generalization analytical formula is provided defining explicitly the Pell polynomials derivatives of order n in terms of Pell polynomials themselves. Other explicit formula is concerned with the connection between the Pell polynomials expansion coefficients, this motivates are interest in such polynomials. These formulas are utilized to derive some mainly relationship related with power basis coefficients and Pell polynomials. With the Pell polynomials expansion technique, the powers are expressed in terms of Pell polynomials and an …