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The Operational Representations of Dn(x) and

Published online by Cambridge University Press:  20 January 2009

S. C. Mitra
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1. A given function f(x) is said to be represented operationally by another function φ(p), if

provided that the integral converges.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 4 , Issue 1 , March 1934 , pp. 33 - 35
Copyright
Copyright © Edinburgh Mathematical Society 1934

References

page 33 note 1 Pol, B. V. d. and Nissen, K. F., Phil. Mag., 8 (1929), 13 (1932).Google ScholarGoldstein, S., Proc. London Math. Soc., 2, 34 (1932).Google ScholarCarson, Electric Circuit Theory and the Operational Calculus (1926).Google Scholar

page 33 note 2 Courant und Hilbert, “Methoden der Mathematisrhen Physik,” I, 90.Google Scholar

page 33 note 3 Whifctaker, and Watson, Modern Analysis (third edition), 347.Google Scholar

page 34 note 1 Bull. Calcutta Math. Soc., 17, 34. The transformation is on the same lines as before.Google Scholar

The relation (11) holds for all positive values of n also.