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Chapter V. SERIES OF FRACTIONAL POWERS
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Joseph Fels Ritt
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Chapters in this book
- Frontmatter I
- PREFACE V
- CONTENTS IX
- Chapter I. ELEMENTARY FUNCTIONS OF ONE VARIABLE 1
- Chapter II. ALGEBRAIC FUNCTIONS WITH ELEMENTARY INTEGRALS 20
- Chapter III. INTEGRATION OP TRANSCENDENTAL FUNCTIONS 40
- Chapter IV. FURTHER QUESTIONS ON THE ELEMENTARY FUNCTIONS 53
- Chapter V. SERIES OF FRACTIONAL POWERS 61
- Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES 69
- Chapter VII. IMPLICIT AND EXPLICIT ELEMENTARY SOLUTIONS OP DIFFERENTIAL EQUATIONS OF THE FIRST ORDER 78
- Chapter VIII. FURTHER IMPLICIT PROBLEMS 87
- REFERENCES 99
Chapters in this book
- Frontmatter I
- PREFACE V
- CONTENTS IX
- Chapter I. ELEMENTARY FUNCTIONS OF ONE VARIABLE 1
- Chapter II. ALGEBRAIC FUNCTIONS WITH ELEMENTARY INTEGRALS 20
- Chapter III. INTEGRATION OP TRANSCENDENTAL FUNCTIONS 40
- Chapter IV. FURTHER QUESTIONS ON THE ELEMENTARY FUNCTIONS 53
- Chapter V. SERIES OF FRACTIONAL POWERS 61
- Chapter VI. INTEGRATION OF DIFFERENTIAL EQUATIONS BY QUADRATURES 69
- Chapter VII. IMPLICIT AND EXPLICIT ELEMENTARY SOLUTIONS OP DIFFERENTIAL EQUATIONS OF THE FIRST ORDER 78
- Chapter VIII. FURTHER IMPLICIT PROBLEMS 87
- REFERENCES 99