1014 THE BELL SYSTEM TECHNICAL JOURNAL, JULY 1953 



Wannier, G. H.' 



Connection Formulas Between the Solutions of Mathieu's Equation, 

 Appl. Math. Quart, 11, pp. 33-59, Apr., 1953 (Monograph 2082). 



The problem of connecting the various types of solutions of Mathieu's equa- 

 tion is solved by the introduction of a new parameter which is a function of 

 the two equation parameters a and q. This quantity </> is introduced and en- 

 closed between two very close analytic limits in section 2. In sections 3, 4, 

 5 precise definitions are given and information is collected for the three main 

 types of functions which are to be connected. Section 6 contains the connection 

 formulas. Section 7 reviews the status of knowledge achieved. Section 8 is an 

 appendix on integral equations which are more general than those developed 

 earher in the text, but which appear to be of no use for the main purpose of 

 this paper. 



Walker, J. G., see R. M. Bozorth. 



Wick, R. F., see W. P. Mason. 

 1 Bell Telephone Laboratories, Inc. 



