01695nam 2200457 450 991070704050332120160325133434.0(CKB)5470000002461084(OCoLC)945575092(EXLCZ)99547000000246108420160325d2015 ua 0engurbn||||a||||txtrdacontentcrdamediacrrdacarrierDefense cooperation : agreement between the United States of America and Japan, signed at Washington, September 28, 2015[Washington, D.C.] :United States Department of State,[2015?]1 online resource (12 unnumbered pages)Treaties and other international acts series ;15-928Title from title screen (viewed on March 25, 2016).Agreement between the United States of America and Japan, signed at Washington, September 28, 2015Environmental lawUnited StatesEnvironmental lawJapanEnvironmental protectionInternational cooperationUnited StatesMilitary relationsJapanJapanMilitary relationsUnited StatesUnited StatesArmed ForcesLegal status, laws, etcJapanTreaties.lcgftEnvironmental lawEnvironmental lawEnvironmental protectionInternational cooperation.United States.Department of State,Japan,United States,GPOGPOBOOK9910707040503321Defense2306666UNINA05008nam 2200613 450 991082914990332120230120014631.01-4832-1616-0(CKB)3710000000200376(EBL)1901405(SSID)ssj0001267405(PQKBManifestationID)12485382(PQKBTitleCode)TC0001267405(PQKBWorkID)11263650(PQKB)11089873(MiAaPQ)EBC1901405(EXLCZ)99371000000020037620150120h19751975 uy 0engur|n|---|||||txtccrTheory and application of special functions proceedings of an advanced seminar sponsored by the Mathematics Research Center, the University of Wisconsin-Madison, March 31-April 2, 1975 /edited by Richard A. AskeyNew York, New York ;London, England :Academic Press,1975.©19751 online resource (573 p.)Mathematics Research Center, the University of Wisconsin ;Publication no. 35Description based upon print version of record.1-322-55721-7 0-12-064850-4 Includes bibliographical references and index.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. INTEGRALS3. 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 equations8. 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. Saalschützian Series and Inversion Theorems; 7. Conclusion.; REFERENCESChapter 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 polynomials5. 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 FUNCTIONS4. DEDUCTIONS FOR OTHER FUNCTIONSTheory and Application of Special FunctionsPublication ... of the Mathematics Research Center, the University of Wisconsin ;Publication no. 35.Functions, SpecialCongressesFunctions, Special510/.8 s515/.5Askey Richard A.University of Wisconsin--Madison.Mathematics Research Center.Advanced Seminar on Special FunctionsMiAaPQMiAaPQMiAaPQBOOK9910829149903321Theory and application of special functions349045UNINA