On a Certain Polynomial Analogous to Lommel's Polynomial

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Authors

  • Christ Church College, Cawnpore ,IN

DOI:

https://doi.org/10.18311/jims/1932/17442

Abstract

In a recent paper*, Dr. S. C. Mitra has shown that the Parabolic cylinder function, Dn (z), satisfies the relation

Dm+n (x) + ( - 1)n (n + 1) Rn, m-2, (x) Dn (x)

+ ( - l )m = Rn-1,m-1 (x) Dn +1 (x) = 0, ... (1)

where Rn,m (x) is a polynomial analogous to that of Lommelt in the theory of Bessel Functions.