دانلود کتاب Computation of Special Functions

فهرست مطالب :

Title Page
Table of Contents
Preface
Acknowledgements
List of Computer Programs
1. BERNOULLl AND EULER NUMBERS
2. ORTHOGONAL POLYNOMIALS
3. GAMMA, BETA, AND PSI FUNCTIONS
4. LEGENDRE FUNCTIONS
5. BESSEL FUNCTIONS
6. MODIFIED BESSEL FUNCTIONS
7. INTEGRALS OF BESSEL FUNCTIONS
8. SPHERICAL BESSEL FUNCTIONS
9. KELVIN FUNCTIONS
10. AIRY FUNCTIONS
11. STRUVE FUNCTIONS
12. HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
13. PARABOLIC CYLINDER FUNCTIONS
14. MATHIEU FUNCTIONS
15. SPHEROIDAL WAVE FUNCTIONS
16. ERROR FUNCTION AND FRESNEL INTEGRALS
17. COSINE AND SINE INTEGRALS
18. ELLIPTIC INTEGRALS AND JACOBIAN ELLIPTIC FUNCTIONS
19. EXPONENTIAL INTEGRALS
20. SUMMARY OF METHODS FOR COMPUTING SPECIAL FUNCTIONS
APPENDIX A - DERIVATION OF SOME SPECIAL DIFFERENTIAL EQUATIONS
APPENDIX B - ROOT-FINDING METHODS
APPENDIX C - ABOUT THE SOFTWARE
INDEX
INDEX OF COMPUTER PROGRAMS