| Page |
| ABSTRACT | 1 |
| CONTENTS | 2 |
| 1. INTRODUCTION | 3, 4, 5, 6, 7, 8, 9 |
| 2. CONVENTIONS | 10, 11, 12, 13, 14, 15, 16, 17, 18 |
| 3. TRANSFER OF ANGULAR FACTOR | 19, 20, 20a, 21, 22, 23 |
| 4. DETERMINATION OF EULER ANGLES | 24, 25, 26, 27 |
| 5. EULERIAN ROTATION OF CUBIC HARMONICS | 28, 29, 30, 31, 32, 33 |
| 6. TRANSFER OF RADIAL FACTOR | 34, 35, 36, 37, 38, 39, 40 |
| 7. COMPUTATION OF ZETA FUNCTIONS | 41, 42, 43, 44, 45 |
| 7.1 Derivative Method | 46, 47 |
| 7.2 Quadrature Method | 48, 49 |
| 7.3 Series Method | 50, 51, 52 |
| 7.4 Recursion Method | 53 |
| 7.5 Polynomial Method | 54 |
| 8. ASYMPTOTIC BOUNDS FOR ZETA FUNCTIONS | 55, 56 |
| APPENDIX A: CUBIC HARMONICS | 57, 58, 58a, 58b, 59, 60, 61, 62 |
| APPENDIX B: BESSEL FUNCTIONS | 63, 64, 65 |
| TABLES | 66, 67, 68, 69, 70, 71, 72, 73 |
| ACKNOWLEDGEMENTS | 74 |
| REFERENCES | 75, 76, 77 |
