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Proceedings of the American Mathematical Society
Article . 1964 . Peer-reviewed
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The Rayleigh Polynomial

The Rayleigh polynomial
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Dec 1964Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 15, page 911 (issn: 0002-9939, Copyright policy )
Authors: Nand Kishore;

doi: 10.2307/2034908 , 10.1090/s0002-9939-1964-0168823-2

The Rayleigh Polynomial

Abstract

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.

Keywords

special functions

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
22
Top 10%
Top 10%
Average
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