Theory and Application of Special Functions : (Record no. 45190)
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| fixed length control field | 06216nam a22004453i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC1901405 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729123318.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s1975 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781483216164 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780120648504 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC1901405 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL1901405 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11003779 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaONFJC)MIL687003 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)898771916 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA3.T446 1975eb |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Askey, Richard. |
| 245 10 - TITLE STATEMENT | |
| Title | Theory and Application of Special Functions : |
| Remainder of title | Proceedings of an Advanced Seminar Sponsored by the Mathematics Research Center, the University of Wisconsin-Madison, March 31-April 2 1975. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | San Diego : |
| Name of producer, publisher, distributor, manufacturer | Elsevier Science & Technology, |
| Date of production, publication, distribution, manufacture, or copyright notice | 1975. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©1975. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (573 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Front Cover -- Theory and Application of Special Functions -- Copyright Page -- Table of Contents -- Foreword -- Preface -- Chapter 1. Computational Methods in Special Functions-A Survey -- Introduction -- 1. Methods based on preliminary approximation -- 2. Methods based on linear recurrence relations -- 3. Nonlinear recurrence algorithms for elliptic integrals and elliptic functions -- 4. Computer software for special functions -- REFERENCES -- Chapter 2. Unsolved Problems in the Asymptotic Estimation of Special Functions -- Abstract -- 1. INTRODUCTION -- PART I. THE TOOLS OF ASYMPTOTIC ANALYSIS -- 2. INTEGRALS -- 3. SUMS AND SEQUENCES -- 4. LINEAR ORDINARY DIFFERENTIAL EQUATIONS -- PART II. ASYMPTOTIC ESTIMATES OF THE SPECIAL FUNCTIONS -- 5. FUNCTIONS OF ONE OR TWO VARIABLES -- 6. FUNCTIONS OF THREE VARIABLES -- 7. FUNCTIONS OF FOUR OR MORE VARIABLES -- ACKNOWLEDGMENTS -- REFERENCES -- Chapter 3. Periodic Bernoulli Numbers, Summation Formulas and Applications -- 1. Introduction. -- 2. Periodic Bernoulli numbers and polynomials -- 3. The periodic Poisson and periodic Euler-Maclaurin summation -- 4. The distribution of quadratic residues -- 5. Power sums and cotangent sums -- 6. Gauss sums -- 7. Functional equations -- 8. A trigonometric series of Hardy and Littlewood -- 9. Infinite series of ordinary Bessel functions -- 10. Infinite series of modified Bessel functions -- 11. Entries from Ramanujan's Notebooks and kindred formulae -- REFERENCES -- Chapter 4. Problems and Prospects for Basic Hypergeometric Functions -- 1. Introduction -- 2. Partitions identities -- 3. Identities for Multiple Hypergeometric Series -- 4. Basic Appell and Lauricella Series -- 5. MacMahon's Master Theorem and the Dyson Conjecture -- 6. Saalschützian Series and Inversion Theorems -- 7. Conclusion. -- REFERENCES. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Chapter 5. An Introduction to Association Schemes and Coding Theory -- ABSTRACT -- 1 INTRODUCTION -- 2 Error-Correcting Codes -- 3 Association Schemes -- 4 The Hamming Association Scheme -- 5 The Johnson Association Scheme -- 6 Association Schemes Obtained from Graphs and Other Sources -- 7 The Linear Programming Bound -- 8 Properties of Perfect Codes -- REFERENCES -- Chapter 6. Linear Growth Models with Many Types and Multidimensional Hahn Polynomials -- 1. Multi-allele Moran mutation models -- 2. Representation of P(t). -- 3. Relation with multi-dimensional linear growth -- 4. The case r = 2 and the Hahn polynomials -- 5. Moran model with r types. -- 6. Linear growth model with r types -- 7. The eigenfunctions when -- REFERENCES -- Chapter 7. Orthogonal Polynomials Revisited -- I. Introduction -- II. Polynomials on the Real Axis -- III. Applications -- IV. Polynomials on the Unit Circle -- V. Conclusion -- FOOTNOTES -- Chapter 8. Symmetry, Separation of Variables, and Special Functions -- REFERENCES -- Chapter 9. Nicholson-Type Integrals for Products of Gegenbauer Functions and Related Topics -- ABSTRACT -- 1. INTRODUCTION -- 2. DERIVATION OF A NICHOLSON-TYPE FORMULA FOR GEGENBAUER FUNCTIONS -- 3. SOME APPLICATIONS FOR GEGENBAUER FUNCTIONS -- 4. DEDUCTIONS FOR OTHER FUNCTIONS -- 5. CONCLUSIONS -- FOOTNOTES -- REFERENCES -- Chapter 10. Positivity and Special Functions -- 1. Introduction -- 2. Background material. -- 3. Computation. -- 4. Recurrence relations. -- 5. Maximum principles. -- 6. Estimation. -- 7. Absolutely monotonie and completely monotonie functions -- 8. Sums of squares. -- 9. Additional comments. -- REFERENCES -- Chapter 11. Two-Variable Analogues of the Classical Orthogonal Polynomials -- 1. Introduction -- 2. Jacobi polynomials -- 3. Methods of constructing two-variable analogues of the Jacobipolynomials. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 4. Differential recurrence relations and other analytic properties -- 5. Orthogonal polynomials in two variables as spherical functions -- REFERENCES -- Chapter 12. Special Functions of Matrix and Single Argument in Statistics -- FOREWORD -- INTRODUCTION -- I. Zonal Polynomials of the Real Positive Definite Symmetric Matrices -- II. Orthogonal Polynomials of Matrix Argument -- III. Differential Equations for Hypergeometric Functions of Matrix Argument -- IV. Probability Functions of Ordered Roots -- REFERENCES -- Chapter 13. Some Properties of Determinants of Orthogonal Polynomials -- Introduction -- 1. Recurrence formulas -- 2. CHRISTQFFEL-DAJRBOUX FORMULA AND WRONSKIAN IDENTITIES. -- 3. Further Properties -- REFERENCES -- Index. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Functions, Special -- Congresses. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Askey, Richard |
| Title | Theory and Application of Special Functions |
| Place, publisher, and date of publication | San Diego : Elsevier Science & Technology,c1975 |
| International Standard Book Number | 9780120648504 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=1901405">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=1901405</a> |
| Public note | Click to View |
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