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DETERMINANTS OF ORTHOGONAL POLYNOMIALS BY SAMUEL CARLIN AND JAMES MC GREGOR Communicated by Ralph Phillip?, January 22, 1962, In the study of coincidence problems for birth-and-death processes l ;
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How to fill out determinants of orthogonal polynomials
How to fill out determinants of orthogonal polynomials:
01
Firstly, gather the coefficients of the terms in the polynomial and organize them in a matrix.
02
Use a method such as Gaussian elimination or matrix operations to simplify the matrix and find the determinant.
03
The resulting determinant represents the orthogonality condition satisfied by the polynomial.
Who needs determinants of orthogonal polynomials:
01
Mathematicians and statisticians often use determinants of orthogonal polynomials in various fields such as numerical analysis, signal processing, and data fitting.
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Engineers and physicists may also benefit from using determinants of orthogonal polynomials in areas like control systems and quantum mechanics.
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Researchers and academics studying polynomial approximations and orthogonal functions will find determinants of orthogonal polynomials to be useful tools in their work.
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