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New class of polynomials

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Summary

For the simple Bessel polynomials yn(x), the Rodrigues' formula is yn(x)==2−ne2/xDn(x2ne−2/x). The present work generalizes the idea of the simple. Bessel polynomials of Krall-Frink. It is of great interest to investigate the class of polynomials which are closely connected with the Rodrigues' expression e3/xDn(x3ne−3/x) or more generally with ek/xDn(xkne−k/x).

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Chatterjea, S.K. New class of polynomials. Annali di Matematica 65, 35–48 (1964). https://doi.org/10.1007/BF02418218

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Keywords

  • Bessel Polynomial