Asymptotics and Mellin-Barnes integrals / (Record no. 517799)
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| 000 -LEADER | |
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| fixed length control field | 03747nam a22003858i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511546662 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160233.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m|||||o||d|||||||| |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090508s2001||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511546662 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521790017 (hardback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA432 |
| Item number | .P34 2001 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.723 |
| Edition number | 21 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Paris, R. B., |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Asymptotics and Mellin-Barnes integrals / |
| Statement of responsibility, etc | R.B. Paris, D. Kaminski. |
| 246 3# - VARYING FORM OF TITLE | |
| Title proper/short title | Asymptotics & Mellin-Barnes Integrals |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2001. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xvi, 422 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | Encyclopedia of mathematics and its applications ; |
| Volume number/sequential designation | volume 85 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | Order Relations -- |
| -- | Asymptotic Expansions -- |
| -- | Other Expansions -- |
| -- | Biographies of Mellin and Barnes -- |
| -- | Fundamental Results -- |
| -- | The Gamma Function [Gamma] (z) -- |
| -- | The Asymptotic Expansion of [Gamma] (z) -- |
| -- | The Stirling Coefficients -- |
| -- | Bounds for [Gamma] (z) -- |
| -- | Expansion of Quotients of Gamma Functions -- |
| -- | Inverse Factorial Expansions -- |
| -- | A Recursion Formula when [alpha subscript r] = [beta subscript r] -- |
| -- | An Algebraic Method for the Determination of the A[subscript j] -- |
| -- | Special Cases -- |
| -- | The Asymptotic Expansion of Integral Functions -- |
| -- | Convergence of Mellin-Barnes Integrals -- |
| -- | Order Estimates for Remainder Integrals -- |
| -- | Lemmas -- |
| -- | Properties of Mellin Transforms -- |
| -- | Basic Properties -- |
| -- | Translational and Differential Properties -- |
| -- | The Parseval Formula -- |
| -- | Analytic Properties -- |
| -- | Inverse Mellin Transforms -- |
| -- | Integrals Connected with e[superscript -z] -- |
| -- | Some Standard Integrals -- |
| -- | Discontinuous Integrals -- |
| -- | Gamma-Function Integrals -- |
| -- | Ramanujan-Type Integrals -- |
| -- | Barnes' Lemmas -- |
| -- | Mellin-Barnes Integral Representations -- |
| -- | The Confluent Hypergeometric Functions -- |
| -- | The Gauss Hypergeometric Function -- |
| -- | Some Special Functions -- |
| -- | Applications of Mellin Transforms -- |
| -- | Transformation of Series -- |
| -- | The Mellin Transform Method -- |
| -- | The Poisson-Jacobi Formula -- |
| -- | An Infinite Series -- |
| -- | A Smoothed Dirichlet Series -- |
| -- | A Finite Sum -- |
| -- | Number-Theoretic Examples -- |
| -- | A Harmonic Sum -- |
| -- | Euler's Product -- |
| -- | Ramanujan's Function -- |
| -- | Some Other Number-Theoretic Sums -- |
| -- | Solution of Differential Equations -- |
| -- | Potential Problems in Wedge-Shaped Regions. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Asymptotics and Mellin-Barnes Integrals, first published in 2001, provides an account of the use and properties of a type of complex integral representation that arises frequently in the study of special functions typically of interest in classical analysis and mathematical physics. After developing the properties of these integrals, their use in determining the asymptotic behaviour of special functions is detailed. Although such integrals have a long history, the book's account includes recent research results in analytic number theory and hyperasymptotics. The book also fills a gap in the literature on asymptotic analysis and special functions by providing a thorough account of the use of Mellin-Barnes integrals that is otherwise not available in other standard references on asymptotics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mellin transform. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Asymptotic expansions. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Kaminski, D. |
| Fuller form of name | (David), |
| Dates associated with a name | 1960- |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521790017 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Encyclopedia of mathematics and its applications ; |
| Volume number/sequential designation | v. 85. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511546662">https://doi.org/10.1017/CBO9780511546662</a> |
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