The Partition Method for a Power Series Expansion

Written By Victor Kowalenko
The Partition Method for a Power Series Expansion
  • Publsiher : Academic Press
  • Release : 19 January 2017
  • ISBN : 0128045116
  • Pages : 322 pages
  • Rating : 4/5 from 21 reviews
GET THIS BOOKThe Partition Method for a Power Series Expansion


Read or download book entitled The Partition Method for a Power Series Expansion written by Victor Kowalenko which was release on 19 January 2017, this book published by Academic Press. Available in PDF, EPUB and Kindle Format. Book excerpt: 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 numbers Compares generating partitions via the BRCP algorithm with the standard lexicographic approaches Describes how to program the partition method for a power series expansion and the BRCP algorithm

The Partition Method for a Power Series Expansion

The Partition Method for a Power Series Expansion
  • Author : Victor Kowalenko
  • Publisher : Academic Press
  • Release Date : 2017-01-19
  • Total pages : 322
  • ISBN : 0128045116
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Summary : 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 ...

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  • Publisher : World Scientific
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Summary : This book presents a comprehensive review of a diverse range of subjects in physics written by physicists who have all been taught by or are associated with K C Hines. Ken Hines was a great mentor with far-reaching influence on his students who later went on to make outstanding contributions ...

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  • Publisher : Bentham Science Publishers
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  • Total pages : 249
  • ISBN : 0128045116
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Summary : 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 regularization, Borel summation and Mellin-Barnes regularization, are used to derive general expressions ...

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Summary : Download or read online The Rise and Fall of the German Combinatorial Analysis written by Eduardo Noble, published by Springer Nature which was released on . Get The Rise and Fall of the German Combinatorial Analysis Books now! Available in PDF, ePub and Kindle....

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Summary : Download or read online NASA technical note written by , published by which was released on 1965. Get NASA technical note Books now! Available in PDF, ePub and Kindle....

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Summary : Download or read online NASA Technical Note written by United States. National Aeronautics and Space Administration, published by which was released on 1959. Get NASA Technical Note Books now! Available in PDF, ePub and Kindle....

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Summary : Download or read online Emergent Phenomena in Correlated Matter written by Eva Pavarini,Erik Koch,Ulrich Schollwöck, published by Forschungszentrum Jülich which was released on 2013. Get Emergent Phenomena in Correlated Matter Books now! Available in PDF, ePub and Kindle....

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