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A Basic-sine and cosine with symbolical solutions of certain differential equations

Published online by Cambridge University Press:  20 January 2009

F. H. Jackson
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The object of this paper is to introduce certain functions analogous to the circular functions. The functions will be denoted by

Formulæ analogous to

will be obtained, and the use of the functions in symbolical solutions of certain differential equations exemplified. The connection of the functions with generalised Bessel-functions of order half an odd integer will be shown.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 22 , February 1903 , pp. 28 - 39
Copyright
Copyright © Edinburgh Mathematical Society 1903

References

* Transactions, Royal Society, Edin., Vol. XLI., Art. 1.Google Scholar

* Transactions R.S.E., Vol. XLI. “Generalised Functions of Legendre and Bessel,” Part I. (57), Part II. (8).Google Scholar