01393nam 2200337Ia 450 99639431230331620221108035101.0(CKB)3810000000008131(EEBO)2240895921(OCoLC)31354820(EXLCZ)99381000000000813119941025d1662 uy |engurbn||||a|bb|By the lord lieutenant general, and general governor of Ireland[electronic resource] whereas we are informed that the souldiers of His Majesties army have been constrained for want of their pay, to run in debt in their several quarters for necessary provisions ..Dublin Printed by John Crook ... and are to be sold by Samuel Dancer ...16621 sheet ([1] p.)Other title information from first line of text."Given at His Majesties castle of Dublin, the 18th of Decemb. 1662."Reproduction of original in the Bodleian Library.eebo-0014IrelandHistory1660-1688BroadsidesDublin (Ireland)17th century.rbgenrOrmonde James ButlerDuke of,1610-1688.1001840EAHEAHWaOLNBOOK996394312303316By the Lord Lieutenant General and General Governor of Ireland2342213UNISA05008nam 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