On Certain Functional Equations

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Authors

  • Annamalai University ,IN

DOI:

https://doi.org/10.18311/jims/1939/17290

Abstract

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.