The Journal of the Indian Mathematical Society

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On Certain Functional Equations


Affiliations
1 Annamalai University, India
     

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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.


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  • On Certain Functional Equations

Abstract Views: 217  |  PDF Views: 1

Authors

V. Ganapathy Iyer
Annamalai University, India

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.