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The Umbral Calculus

The Umbral Calculus

By: Steven Roman

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Geared toward upper-level undergraduates and graduate students, this elementary introduction to classical umbral calculus requires only an acquaintance with the basic notions of algebra and a bit of applied mathematics (such as differential equations) to help put the theory in mathematical perspective. Subjects include Sheffer sequences and operators and their adjoints, with numerous examples of associated and other sequences. Related topics encompass the connection constants problem and duplication formulas, the Lagrange inversion formula, operational formulas, inverse relations, and binomial convolution. The final chapter offers a glimpse of the newer and less well-established forms of umbral calculus. 1984 edition.

Unabridged republication of the edition published by Academic Press, Inc., Orlando, Florida, 1984.
AvailabilityUsually ships in 24 to 48 hours
ISBN 100486441393
ISBN 139780486441399
Author/EditorSteven Roman
Page Count208
Dimensions5 3/8 x 8 1/2

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