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Two Classes of Generalized Polynomials
Author(s) -
MilneThomson L. M.
Publication year - 1933
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s2-35.1.514
Subject(s) - mathematics , pure mathematics , algebra over a field
A certain general class of polynomials is defined and its properties are considered. By specializing the definition in one direction we are led to Bernoulli's polynomials of order n regarded as generalizations of x v , by specializing in another direction x v leads to Euler's polynomials of order n . The same methods are apphed to Hermite's polynomials and thus two new types of polynomial are found.