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On the support of the measure of orthogonality of a class of orthogonal polynomials
Applied Mathematics and Computation, 2002It is a well-known fact that an orthonormal polynomial sequence \((p_n)_n\) satisfies a three-term recurrence relation. Let \(T\) be the tridiagonal operator associated to \((p_n)_n\) and defined by \[ Te_n=\alpha_n e_{n+1} \beta_n e_n+\alpha_{n-1}e_{n-1},\quad \alpha_n>0,\quad \] \((e_n)_n\) being an orthonormal basis of the Hilbert space.
Ifantis, E. K. +2 more
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1966
Publisher Summary This chapter focuses on simple sets of orthogonal polynomials. These sets of polynomials arise in various ways, one of which is as the solutions of a class of differential equations. It has been shown that, under certain conditions, given any interval and a positive weight function on that interval, there exists a corresponding set ...
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Publisher Summary This chapter focuses on simple sets of orthogonal polynomials. These sets of polynomials arise in various ways, one of which is as the solutions of a class of differential equations. It has been shown that, under certain conditions, given any interval and a positive weight function on that interval, there exists a corresponding set ...
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On Oscillation Properties and the Interval of Orthogonality of Orthogonal Polynomials
SIAM Journal on Mathematical Analysis, 1984The paper is mainly concerned with the ''true interval of orthogonality for a sequence of orthogonal polynomials, defined as the smallest closed interval containing the limit points of the set of zeros of these polynomials [cf. e.g. \textit{T. S. Chihara}, An introduction to orthogonal polynomials (1978; Zbl 0389.33008)].
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Recent developments in bioorthogonal chemistry and the orthogonality within
Current Opinion in Chemical Biology, 2021Jordi Agramunt Pi, Kimberly M Bonger
exaly
ON THE TRUE INTERVAL OF ORTHOGONALITY FOR ORTHOGONAL POLYNOMIALS
The Quarterly Journal of Mathematics, 1970openaire +2 more sources
Impact of Spreading Factor Imperfect Orthogonality in LoRa Communications
Tyrrhenian Workshop on Digital Communication, 2017D. Croce +4 more
semanticscholar +1 more source