We have recently discussed in (1) the general solution of a certain functional equation arising in statistical thermodynamics, and we propose in this note to deal with another functional equation arising from the same source(2). The problem is to obtain the most general function f(x) which, for all positive integral values of m, n, satifies…
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Edinburgh Mathematical Notes is a peer-reviewed journal published by Cambridge University Press, covering Mathematics and Applications, History and Theory of Mathematics, Matrix Theory and Algorithms.
| Publisher | Cambridge University Press |
|---|---|
| Reference style | Numbered Numbered — [1], [2] in the text [1] A. Smith, B. Jones, and C. Lee, A representative article title, Edinburgh Mathematical Notes 12 (2023) 45–58.
Formats any DOI in the closest standard style — Edinburgh Mathematical Notes has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Mathematics and Applications History and Theory of Mathematics Matrix Theory and Algorithms Advanced Numerical Analysis Techniques Advanced Theoretical and Applied Studies in Material Sciences and Geometry |
| ISSN | 0950-1843 |
| h-index | 7 |
| i10-index | 6 |
| Total citations | 389 |
| Top institutions publishing here | The King's College |
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It is not perhaps generally realised that the special bilinear substitution , used to reduce the integral
The problems considered here are essentially algebraic; but it is convenient to begin with a picturesque formulation.
In the course of mathematical progress new truths are discovered while older ones are sometimes more precisely articulated and often generalised. Because of their elegance and simplicity, however, some classical statements have been left unchanged. As an example, I have in mind the celebrated formula of John Wallis, which for more than a century has…
§ 1. The preceding Note has shown the connection between the partition of a convex polygon by non-crossing diagonals and the insertion of brackets in a product, the latter being more commonly represented by the construction of a tree. It was shown that the enumeration of these entities leads to a generating function y =…