The Partition Method for a Power Series Expansion: Theory and Applications explores how the method known as 'the partition method for a power series expansion', which was developed by the author, can be applied to a host of previously intractable problems in mathematics and physics. In particular, this book describes how the method can be used to determine the Bernoulli, cosecant, and reciprocal logarithm numbers, which appear as the coefficients of the resulting power series expansions, then also extending the method to more complicated situations where the coefficients become polynomials or mathematical functions. From these examples, a general theory for the method is presented, which enables a programming methodology to be established. Finally, the programming techniques of previous chapters are used to derive power series expansions for complex generating functions arising in the theory of partitions and in lattice models of statistical mechanics.Explains the partition method by presenting elementary applications involving the Bernoulli, cosecant, and reciprocal logarithm numbersCompares generating partitions via the BRCP algorithm with the standard lexicographic approachesDescribes how to program the partition method for a power series expansion and the BRCP algorithm

The Partition Method for a Power Series Expansion: Theory and Applications

Science & Math

Kowalenko, Victor

Mathematics

Academic Press

<p>The Stokes phenomenon refers to the emergence of jump discontinuities in asymptotic expansions at specific rays in the complex plane. This book presents a radical theory for the phenomenon by introducing the concept of regularization. Two methods of regul</p>

The Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation

Bentham Science Publishers

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Books by Kowalenko, Victor

See the best price to sell, buy, or rent books by Kowalenko, Victor. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

The Partition Method for a Power Series Expansion: Theory and Applications

The Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation