The partition method for a power series expansion : theory and applications /
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Main Authors: | |
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Corporate Authors: | |
Published: |
Academic Press is an imprint of Elsevier,
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Publisher Address: | London, United Kingdom : |
Publication Dates: | 2017. |
Literature type: | eBook |
Language: | English |
Subjects: | |
Online Access: |
https://www.sciencedirect.com/science/book/9780128044667 |
Carrier Form: | 1 online resource |
Bibliography: | Includes bibliographical references and index. |
ISBN: |
9780128045114 0128045116 |
Index Number: | QA165 |
CLC: | O156.4 |
Contents: |
Front Cover; The Partition Method for a Power Series Expansion; Copyright; Contents; Preface; 1 Introduction; 1.1 Cosecant Expansion; 1.2 Reciprocal Logarithm Numbers; 1.3 Bernoulli and Related Polynomials; 2 More Advanced Applications; 2.1 Bell Polynomials of the First Kind; 2.2 Generalized Cosecant and Secant Numbers; 2.3 Generalized Reciprocal Logarithm Numbers; 2.4 Generalization of Elliptic Integrals; 3 Generating Partitions; 4 General Theory; 5 Programming the Partition Method for a Power Series Expansion; 6 Operator Approach; 7 Classes of Partitions. 8 The Partition-Number Generating Function and Its Inverted Form8.1 Generalization of the Inverted Form of P(z); 9 Generalization of the Partition-Number Generating Function; 10 Conclusion; A Regularization; B Computer Programs; References; Index; Back Cover. |