where [x] denotes the greatest integer ,x. Rayleigh functions and polynomials of odd orders are identically zero. The function a2n(v) has been the subject of a number of investigations [3, p. 502]. Properties of 022n(v) have been discussed in a previous paper [ii. The object of the present paper is to discuss properties of the polynomial +2X(v). In this discussion we shall need three results from [1]. Formulas (3), (4) and (5) of the present paper are taken from [1], and repeated here for the convenience of the reader.
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Nand Kishore (1964) studied this question.
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