Journal
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
Volume 20, Issue 7, Pages 539-550Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/10652460802646071
Keywords
polynomials; interpolation; differential equations; expansion
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The class of polynomials Lk(x), k=1, 2, ..., of degree 2k+1 satisfying the differential equation L''k(x)=Lk-1(x) and the initial condition Lk(0)=0 is introduced. For any choice of one more condition, we have a definite and special sequence of polynomials. The sequences of polynomials related to a linear functional F on C2k+1 are interesting, since they are the basis of a particular non-classic interpolatory problem.
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