Abstract
As an immediate application of the results of the preceding Sections we now consider briefly some Examples of what are known as Abelian and Tauberian-type Theorems. These results have found use in a variety of Applied fields.
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References to Additional and Related Material: Section 7
Feller, W., “An Introduction to Probability Theory and its Applications”, Vol. II, John Wiley and Sons, Inc. (1966).
Ford, W., “Divergent Series”, Chelsea Publishing Co., Inc. (1960).
Grimm, C., “A Unified Method of Finding Laplace Transforms, Fourier Transforms, and Fourier Series”, U.M.A.P. Unit 324, Educational Development Center, Newton, Massachusetts (1978).
Hobson, E., “Theory of Functions of a Real Variable”, Vol. II, Dover Publications, Inc.
Pitt, H., “Tauberian Theorems”, Oxford University Press. (1958).
Smith, W., Unpublished Lecture Notes, University of North Carolina (1964).
Spiegel, M., “Schaum’s Outline of Theory and Problems of Laplace Transforms”, Schaum Publishing Co. (1965).
Widder, D., “An Introduction to Transform Theory”, Academic Press (1971).
Widder, D., “The Laplace Transform”, Princeton University Press (1941).
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© 1979 Springer-Verlag New York Inc.
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Meyer, R.M. (1979). Some Abelian and Tauberian Theorems. In: Essential Mathematics for Applied Fields. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8072-6_7
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DOI: https://doi.org/10.1007/978-1-4613-8072-6_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90450-4
Online ISBN: 978-1-4613-8072-6
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