LEADER 04414nam 2200637Ia 450 001 996209979903316 005 20230213211427.0 010 $a1-282-11215-5 010 $a9786612112157 010 $a0-470-06696-2 010 $a0-470-06697-0 035 $a(CKB)1000000000376430 035 $a(EBL)470253 035 $a(SSID)ssj0000354556 035 $a(PQKBManifestationID)11298730 035 $a(PQKBTitleCode)TC0000354556 035 $a(PQKBWorkID)10302596 035 $a(PQKB)10384066 035 $a(MiAaPQ)EBC470253 035 $a(OCoLC)87539868 035 $a(EXLCZ)991000000000376430 100 $a20000629d1966 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOrganic reaction mechanisms$b[electronic resource] $h1965 $ean annual survey covering the literature dated December 1964 through November 1965 /$fB. Capon, M.J. Perkins, C.W. Rees 210 $aNew York $cInterscience Publishers$d1966 215 $a1 online resource (362 p.) 225 0 $aOrganic reaction mechanisms ;$v1965 300 $aDescription based upon print version of record. 311 $a0-470-13475-5 320 $aIncludes bibliographical references and index. 327 $aORGANIC REACTION MECHANISMS 1965; Contents; Classical and Non-classical Carbonium Ions; Introduction; Bicyclic Systems; Phenonium Ions; Participation by Double and Triple Bonds; Cyclopropyl Carbonium Ions; Cyclopropyl Cations; Other Stable Carbonium Ions and Their Reactions; Nucleophilic Aliphatic Substitution; Ion-pair Return and Related Phenomena; Neighbouring-group Participation; Isotope Effects; Deaminations; Fragmentation Reactions; Displacement Reactions at Elements other than Carbon; Ambident Nucleophiles; Other Reactions; Electrophilic Aliphatic Substitution .s; Elimination Reactions 327 $aAddition ReactionsElectrophilic Additions; Addition of halogens and nitrosyl halides; Hydration and related additions; Epoxideations; Nucleophilic Additions; Radical Additions; Diels-Alder Reactions; Other Cycloaddition Reactions; Nucleophilic Aromatic Substitution; The Bimolecular Mechanism; Meisenheimer and Related Complexes; Substitution in Polyfluoro Aromatics; Heterocyclic Systems; Diazonium Decomposition; Other Reactions; Benzyne and Related Intermediates; Radical and Electrophilic Aromatic Substitution; Radical Substitution; Electrophilic Substitution; Molecular Rearrangements 327 $aAromatic RearrangementsCope and Related Rearrangements ; Valence-bond Isomerization; Radical Rearrangements; Other Rearrangments; Radical Reactions; Radical-forming Reactions; Reactions of Free Radicals; Oxygen Radicals; Radical Abstraction and Displacement Processes; Radical Coupling and Disproportionation; Miscellaneous Data on Free Radicals; Stable Radicals and Eledron Spin Resonance Studies; Oxygen Radicals; Nitroxides; Nitrogen Radicals; Carbon Radicals; Radical Anions; Radical Cations; Carbenes and Nitrenes; Reactions of Aldehydes and Ketones and their Derivatives 327 $aFormation and Reactions of Acetals and KetalsReactions with Nitrogen Bases; Enolization and Related Reactions; Other Reactions; Reactions of Acids and their Derivatives; Carboxylic Acids; Non-carboxylic Acids; Photochemistry; Oxidations and Reductions; Oxidation of Olefins; Oxidation of Hydroxyl and Carbonyl Compounds; Other Reactions; Author Index; Subject Index 330 $aThis annual series on organic reaction mechanisms research provides concise, comprehensive coverage of the year's literature as well as discussions of important results. The present volume either discusses or lists all published work dated from December to November inclusive, that deals significantly with any aspect of organic reaction mechanisms. 410 0$aOrganic Reaction Mechanisms Series 606 $aOrganic reaction mechanisms$vProblems, exercises, etc 606 $aReaction mechanisms (Chemistry) 615 0$aOrganic reaction mechanisms 615 0$aReaction mechanisms (Chemistry) 676 $a547.139 676 $a547.2 700 $aCapon$b B$0857122 701 $aPerkins$b M. J$0857121 701 $aRees$b C. W$01275284 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996209979903316 996 $aOrganic reaction mechanisms$93004873 997 $aUNISA LEADER 01262oas 2200505 a 450 001 9910895691603321 005 20251105213014.0 011 $a1991-6426 035 $a(DE-599)ZDB2767360-1 035 $a(OCoLC)530178071 035 $a(CONSER) 2010220365 035 $a(CKB)1000000000564766 035 $a(EXLCZ)991000000000564766 100 $a20100226a20069999 uy 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aWorld applied sciences journal 210 $aFaisalabad, Pakistan $cIDOSI 300 $aRefereed/Peer-reviewed 300 $aSome years have supplements or special issues. 311 08$a1818-4952 517 1 $aWASJ 606 $aScience$vPeriodicals 606 $aScience$2fast$3(OCoLC)fst01108176 608 $aPeriodicals.$2fast 615 0$aScience 615 7$aScience. 712 02$aIDOSI. 801 0$bAGL 801 1$bAGL 801 2$bOCLCQ 801 2$bOCLCF 801 2$bOCLCQ 801 2$bAGL 801 2$bOCLCO 801 2$bOCLCQ 801 2$bOCLCL 801 2$bOCLCQ 906 $aJOURNAL 912 $a9910895691603321 996 $aWorld applied sciences journal$94255429 997 $aUNINA LEADER 05150nam 2200685 a 450 001 9911020230003321 005 20251116163956.0 010 $a9786613678713 010 $a9781280767944 010 $a1280767944 010 $a9781118032572 010 $a1118032578 010 $a9781118030813 010 $a1118030818 035 $a(CKB)2550000000031175 035 $a(EBL)675156 035 $a(OCoLC)710974986 035 $a(SSID)ssj0000487529 035 $a(PQKBManifestationID)11309495 035 $a(PQKBTitleCode)TC0000487529 035 $a(PQKBWorkID)10442626 035 $a(PQKB)11072362 035 $a(MiAaPQ)EBC675156 035 $a(Perlego)2775778 035 $a(EXLCZ)992550000000031175 100 $a19950920d1996 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSpecial functions $ean introduction to the classical functions of mathematical physics /$fNico M. Temme 210 $aNew York $cWiley$d1996 215 $a1 online resource (392 p.) 300 $a"A Wiley-Interscience publication"--t.p. 311 08$a9780471113133 311 08$a0471113131 320 $aIncludes bibliographical references (p. 349-360) and index. 327 $aSpecial Functions: An Introduction to the Classical Functions of Mathematical Physics; Contents; 1 Bernoulli, Euler and Stirling Numbers; 1.1. Bernoulli Numbers and Polynomials; 1.1.1. Definitions and Properties; 1.1.2. A Simple Difference Equation; 1.1.3. Euler's Summation Formula; 1.2. Euler Numbers and Polynomials; 1.2.1. Definitions and Properties; 1.2.2. Boole's Summation Formula; 1.3. Stirling Numbers; 1.4. Remarks and Comments for Further Reading; 1.5. Exercises and Further Examples; 2 Useful Methods and Techniques; 2.1. Some Theorems from Analysis 327 $a2.2. Asymptotic Expansions of Integrals2.2.1. Watson's Lemma; 2.2.2. The Saddle Point Method; 2.2.3. Other Asymptotic Methods; 2.3. Exercises and Further Examples; 3 The Gamma Function; 3.1. Introduction; 3.1.1. The Fundamental Recursion Property; 3.1.2. Another Look at the Gamma Function; 3.2. Important Properties; 3.2.1. Prym's Decomposition; 3.2.2. The Cauchy-Saalschu?tz Representation; 3.2.3. The Beta Integral; 3.2.4. The Multiplication Formula; 3.2.5. The Reflection Formula; 3.2.6. The Reciprocal Gamma Function; 3.2.7. A Complex Contour for the Beta Integral; 3.3. Infinite Products 327 $a3.3.1. Gauss' Multiplication Formula3.4. Logarithmic Derivative of the Gamma Function; 3.5. Riemann's Zeta Function; 3.6. Asymptotic Expansions; 3.6.1. Estimations of the Remainder; 3.6.2. Ratio of Two Gamma Functions; 3.6.3. Application of the Saddle Point Method; 3.7. Remarks and Comments for Further Reading; 3.8. Exercises and Further Examples; 4 Differential Equations; 4.1. Separating the Wave Equation; 4.1.1. Separating the Variables; 4.2. Differential Equations in the Complex Plane; 4.2.1. Singular Points; 4.2.2. Transformation of the Point at Infinity 327 $a4.2.3. The Solution Near a Regular Point4.2.4. Power Series Expansions Around a Regular Point; 4.2.5. Power Series Expansions Around a Regular Singular Point; 4.3. Sturm's Comparison Theorem; 4.4. Integrals as Solutions of Differential Equations; 4.5. The Liouville Transformation; 4.6. Remarks and Comments for Further Reading; 4.7. Exercises and Further Examples; 5 Hypergeometric Functions; 5.1. Definitions and Simple Relations; 5.2. Analytic Continuation; 5.2.1. Three Functional Relations; 5.2.2. A Contour Integral Representation; 5.3. The Hypergeometric Differential Equation 327 $a5.4. The Singular Points of the Differential Equation5.5. The Riemann-Papperitz Equation; 5.6. Barnes' Contour Integral for F(a, b; c; z); 5.7. Recurrence Relations; 5.8. Quadratic Transformations; 5.9. Generalized Hypergeometric Functions; 5.9.1. A First Introduction to q-functions; 5.10. Remarks and Comments for Further Reading; 5.11. Exercises and Further Examples; 6 Orthogonal Polynomials; 6.1. General Orthogonal Polynomials; 6.1.1. Zeros of Orthogonal Polynomials; 6.1.2. Gauss Quadrature; 6.2. Classical Orthogonal Polynomials; 6.3. Definitions by the Rodrigues Formula 327 $a6.4. Recurrence Relations 330 $aThis book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, with numerous references to recent literature provided. 606 $aFunctions, Special 606 $aBoundary value problems 606 $aMathematical physics 615 0$aFunctions, Special. 615 0$aBoundary value problems. 615 0$aMathematical physics. 676 $a515.5 700 $aTemme$b Nico M.$f1940-$0513107 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911020230003321 996 $aSpecial functions$92574162 997 $aUNINA