The partition method for a power series expansion : theory and applications / Victor Kowalenko.
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Full Text (via ScienceDirect) |
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| Format: | eBook |
| Language: | English |
| Published: |
London, United Kingdom :
Academic Press is an imprint of Elsevier,
2017.
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Table of 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.