The Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation

Author(s): Victor Kowalenko

Indexed in: Scopus

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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 ...
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Foreword  promotion: free to download

Pp. iii-iv (2)

John P. Boyd



Preface  promotion: free to download

Pp. v-xi (7)

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Introduction

Pp. 1-6 (6)

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Stokes’s First Example

Pp. 7-12 (6)

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Dingle’s Rules and Theory of Terminants

Pp. 13-21 (9)

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Regularisation

Pp. 22-46 (25)

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Asymptotics for the Error Function

Pp. 47-63 (17)

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Contemporary Views of the Stokes Phenomenon

Pp. 64-81 (18)

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Mellin-Barnes Regularisation

Pp. 82-113 (32)

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Numerics of MB-Regularised Forms

Pp. 114-132 (19)

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Generalised Terminants

Pp. 133-153 (21)

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Borel Summation of Generalised Termi-nants

Pp. 154-192 (39)

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Extension of Borel Summation

Pp. 193-223 (31)

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Conclusion

Pp. 224-236 (13)

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Appendix

Pp. 237-238 (2)

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References

Pp. 239-243 (5)

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Author Index  promotion: free to download

Pp. 244

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Subject Index  promotion: free to download

Pp. 245-249 (5)

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