دانلود کتاب Asymptotics and special functions

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Content:
Inside Front Cover, Page ii
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
PREFACE, Pages xv-xvi
1 - INTRODUCTION TO ASYMPTOTIC ANALYSIS, Pages 1-30
2 - INTRODUCTION TO SPECIAL FUNCTIONS, Pages 31-65
3 - INTEGRALS OF A REAL VARIABLE, Pages 66-105
4 - CONTOUR INTEGRALS, Pages 106-138
5 - DIFFERENTIAL EQUATIONS WITH REGULAR SINGULARITIES; HYPERGEOMETRIC AND LEGENDRE FUNCTIONS, Pages 139-189
6 - THE LIOUVILLE–GREEN APPROXIMATION, Pages 190-228
7 - DIFFERENTIAL EQUATIONS WITH IRREGULAR SINGULARITIES; BESSEL AND CONFLUENT HYPERGEOMETRIC FUNCTIONS, Pages 229-278
8 - SUMS AND SEQUENCES, Pages 279-321
9 - INTEGRALS: FURTHER METHODS, Pages 322-361
10 - DIFFERENTIAL EQUATIONS WITH A PARAMETER: EXPANSIONS IN ELEMENTARY FUNCTIONS, Pages 362-391
11 - DIFFERENTIAL EQUATIONS WITH A PARAMETER: TURNING POINTS, Pages 392-434
12 - DIFFERENTIAL EQUATIONS WITH A PARAMETER: SIMPLE POLES AND OTHER TRANSITION POINTS, Pages 435-479
13 - CONNECTION FORMULAS FOR SOLUTIONS OF DIFFERENTIAL EQUATIONS, Pages 480-518
14 - ESTIMATION OF REMAINDER TERMS, Pages 519-544
ANSWERS TO EXERCISES, Pages 545-547
REFERENCES, Pages 548-560
INDEX OF SYMBOLS, Pages 561-562
GENERAL INDEX, Pages 563-572