| Page |
| ABSTRACT | 1 |
| CONTENTS | 2 |
| 1. INTRODUCTION | 3, 4, 5 |
| 2. THE HOBSON-BARNETT-COULSON EXPANSION | 6, 7, 8, 9 |
| 3. THE EXPANSION FOR ORBITAL GRADIENTS | 10, 11, 12, 13 |
| 4. DISPLACEMENT DERIVATIVES OF ZETA FUNCTIONS | 14, 15, 16, 17, 18 |
| 5. THE SHANKS-WYNN TRANSFORMATION | 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34 |
| 6. LIST-GENERATION AND INDEXED RETRIEVAL | 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62 |
| APPENDIX A: BASIC ALGEBRAIC INTEGRALS | 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74 |
| APPENDIX B: BASIC AZIMUTHAL INTEGRALS | 75, 76, 77, 78, 79 |
| APPENDIX C: BASIC POLAR INTEGRALS | 80, 81, 82, 83, 84, 85, 86, 87 |
| ACKNOWLEDGEMENTS | 88 |
| REFERENCES | 89 |
