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101110s1975 nyu ob 101 0 eng d |
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|a OCLCE
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|c OCLCE
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|d OCLCF
|d OPELS
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|a 9780120648504
|q (electronic bk.)
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|a 0120648504
|q (electronic bk.)
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|a 9781483216164
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|a (OCoLC)680451401
|z (OCoLC)898771916
|z (OCoLC)903964012
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|z (OCoLC)1162388680
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|a dlr
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|a QA3
|b .U45 no. 35
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|a SD 1975
|2 rvk
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|a Advanced Seminar on Special Functions
|d (1975 :
|c Madison, Wis.)
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|a Theory and application of special functions :
|b proceedings of an advanced seminar sponsored by the Mathematics Research Center, the University of Wisconsin-Madison, March 31-April 2, 1975 /
|c edited by Richard A. Askey.
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|a New York :
|b Academic Press,
|c 1975.
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|a 1 online resource (xi, 560 pages)
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Publication of the Mathematics Research Center, the University of Wisconsin ;
|v no. 35
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|a Includes bibliographical references and index.
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|3 Use copy
|f Restrictions unspecified
|2 star
|5 MiAaHDL
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|a Electronic reproduction.
|b [Place of publication not identified] :
|c HathiTrust Digital Library,
|d 2010.
|5 MiAaHDL
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|a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
|u http://purl.oclc.org/DLF/benchrepro0212
|5 MiAaHDL
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|a digitized
|c 2010
|h HathiTrust Digital Library
|l committed to preserve
|2 pda
|5 MiAaHDL
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|a Print version record.
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|a 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
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|a 3. SUMS AND SEQUENCES4. 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
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|a 8. A trigonometric series of Hardy and Littlewood9. 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. Saalsch�utzian Series and Inversion Theorems; 7. Conclusion.; REFERENCES
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|a Chapter 5. An Introduction to Association Schemes and Coding TheoryABSTRACT; 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
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|a 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
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|a Theory and Application of Special Functions.
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|a English.
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|a Functions, Special
|v Congresses.
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|a Functions, Special
|x Congresses.
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|a Fonctions sp�eciales
|0 (CaQQLa)201-0043460
|x Congr�es.
|0 (CaQQLa)201-0378208
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|a Fonctions sp�eciales
|0 (CaQQLa)201-0043460
|v Congr�es.
|0 (CaQQLa)201-0378219
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650 |
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|a MATHEMATICS
|x Calculus.
|2 bisacsh
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|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
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|a Functions, Special
|2 fast
|0 (OCoLC)fst00936132
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|a Spezielle Funktion
|2 gnd
|0 (DE-588)4182213-4
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|a Fonctions sp�eciales
|x Congr�es.
|2 ram
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|a Kongre�.
|2 swd
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|a Congress
|0 (DNLM)D016423
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|a proceedings (reports)
|2 aat
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|a Conference papers and proceedings
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|0 (OCoLC)fst01423772
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|a Conference papers and proceedings.
|2 lcgft
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|a Actes de congr�es.
|2 rvmgf
|0 (CaQQLa)RVMGF-000001049
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|a Askey, Richard.
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|a University of Wisconsin--Madison.
|b Mathematics Research Center.
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776 |
0 |
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|i Print version:
|a Advanced Seminar on Special Functions (1975 : Madison, Wis.).
|t Theory and application of special functions.
|d New York : Academic Press, 1975
|w (DLC) 75030406
|w (OCoLC)1733471
|
830 |
|
0 |
|a Publication ... of the Mathematics Research Center, the University of Wisconsin--Madison ;
|v no. 35.
|
856 |
4 |
0 |
|u https://sciencedirect.uam.elogim.com/science/book/9780120648504
|z Texto completo
|