4 
B. 
C. 
D. 
E. 
CONTENTS. 
PAGE 
CRITERIA FOR THE CLASSES OF PART I, B. 
§ 1. Necessary Conditions for each Class in Terms of tiie Exponents alone 41 
- 
§ 2. Sufficient as well as Necessary Conditions 45 
RELATIONS BETWEEN KINDRED Q FUNCTIONS. 
§ 1. General Eorm of Relations 46 
§ 2. Expression of Q Functions in Terms of Kindred P Functions .... 48 
P FAMILIES. 
§ 1. Criteria for each Class of P Families . • . 50 
§ 2. The P Family determined by its Exponents • •♦... • • • • • 81 
§ 3. Relations between Kindred P Functions 53 
§ 4. The Differential Equation rj 4 
Q FAMILIES OF ORDER L 
§ 1. The Differential Equation. The Families Q and Q 54 
§ 2. Classification Criteria in the Doubtful Cases 55 
§ 3. Expression of a Q Function of Order 1 as a Sum of Two Kindred P 
Functions _ 
• . • 58 
• 
