On Certain Functional Equations
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DOI:
https://doi.org/10.18311/jims/1939/17290Abstract
The equation
P2+Q2=1 (1)
can be satisfied by means of the integral functions
P=cos(az+b), Q=sin(az+b). (2)
The question may be asked whether there are other solutions of the equation (1). In this paper I propose to find the most general solution in integral functions of the equation (1), and to discuss certain allied questions.