Symmetry and separation of variables /
Miller, Willard.
Symmetry and separation of variables / Willard Miller, Jr. ; with a foreword by Richard Askey. - Cambridge [Cambridgeshire] ; New York, NY, USA : Cambridge University Press, 1984. - 1 online resource (xxx, 285 pages) : illustrations - Encyclopedia of mathematics and its applications ; Section, Special functions v. 4. . - Encyclopedia of mathematics and its applications ; v. 4. Encyclopedia of mathematics and its applications. Section, Special functions. .
Imprint from label on title page verso. Imprint on t.p.: Reading, Mass. : Addison-Wesley, Advanced Book Program, 1977. Publication taken over by Cambridge University Press in 1984 with a new copyright date.
Includes bibliographical references (pages 275-280) and index.
Cover; Half Title; Series Page; Title; Copyright; Contents; Editor's Statement; Foreword; References; Preface; CHAPTER 1 The Helmholtz Equation; 1.0 Introduction; 1.1 The Symmetry Group of the Helmholtz Equation; 1.2 Separation of Variables for the Helmholtz Equation; 1.3 Expansion Formulas Relating Separable Solutions; 1.4 Separation of Variables for the Klein-Gordon Equation; 1.5 Expansion Formulas for Solutions of the Klein-Gordon Equation; 1.6 The Complex Helmholtz Equation; 1.7 Weisner's Method for the Complex Helmholtz Equation; Exercises; CHAPTER 2 The Schrödinger and Heat Equations 7. The Lauricella Functions8. Mathieu Functions; APPENDIX C Elliptic Functions; REFERENCES; Subject Index
This 1977 volume is concerned with the group-theoretic approach to special functions.
English.
9781107087460 (electronic bk.) 1107087465 (electronic bk.) 9781107325623 (electronic bk.) 1107325625 (electronic bk.) 9781107093690 1107093694 1139886061 9781139886062 1107102286 9781107102286 1107099757 9781107099753
Symmetry (Physics)
Functions, Special.
Differential equations, Partial--Numerical solutions.
Separation of variables.
Symétrie (Physique)
Fonctions spéciales.
Équations aux dérivées partielles--Solutions numériques.
Séparation des variables.
SCIENCE--Physics--Mathematical & Computational.
Differential equations, Partial--Numerical solutions.
Functions, Special.
Separation of variables.
Symmetry (Physics)
Physik
Partielle Differentialgleichung
Spezielle Funktion
Differentialgleichung
Electronic books.
QC174.17.S9 / M54 1984eb
530.1/555
Symmetry and separation of variables / Willard Miller, Jr. ; with a foreword by Richard Askey. - Cambridge [Cambridgeshire] ; New York, NY, USA : Cambridge University Press, 1984. - 1 online resource (xxx, 285 pages) : illustrations - Encyclopedia of mathematics and its applications ; Section, Special functions v. 4. . - Encyclopedia of mathematics and its applications ; v. 4. Encyclopedia of mathematics and its applications. Section, Special functions. .
Imprint from label on title page verso. Imprint on t.p.: Reading, Mass. : Addison-Wesley, Advanced Book Program, 1977. Publication taken over by Cambridge University Press in 1984 with a new copyright date.
Includes bibliographical references (pages 275-280) and index.
Cover; Half Title; Series Page; Title; Copyright; Contents; Editor's Statement; Foreword; References; Preface; CHAPTER 1 The Helmholtz Equation; 1.0 Introduction; 1.1 The Symmetry Group of the Helmholtz Equation; 1.2 Separation of Variables for the Helmholtz Equation; 1.3 Expansion Formulas Relating Separable Solutions; 1.4 Separation of Variables for the Klein-Gordon Equation; 1.5 Expansion Formulas for Solutions of the Klein-Gordon Equation; 1.6 The Complex Helmholtz Equation; 1.7 Weisner's Method for the Complex Helmholtz Equation; Exercises; CHAPTER 2 The Schrödinger and Heat Equations 7. The Lauricella Functions8. Mathieu Functions; APPENDIX C Elliptic Functions; REFERENCES; Subject Index
This 1977 volume is concerned with the group-theoretic approach to special functions.
English.
9781107087460 (electronic bk.) 1107087465 (electronic bk.) 9781107325623 (electronic bk.) 1107325625 (electronic bk.) 9781107093690 1107093694 1139886061 9781139886062 1107102286 9781107102286 1107099757 9781107099753
Symmetry (Physics)
Functions, Special.
Differential equations, Partial--Numerical solutions.
Separation of variables.
Symétrie (Physique)
Fonctions spéciales.
Équations aux dérivées partielles--Solutions numériques.
Séparation des variables.
SCIENCE--Physics--Mathematical & Computational.
Differential equations, Partial--Numerical solutions.
Functions, Special.
Separation of variables.
Symmetry (Physics)
Physik
Partielle Differentialgleichung
Spezielle Funktion
Differentialgleichung
Electronic books.
QC174.17.S9 / M54 1984eb
530.1/555