On Two Functional Equations

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Authors

  • A. Ramakrishnan
     Arignar Anna Government Arts College, Cheyyar (N.A.) 604407, Tamil Nadu ,IN

Abstract

Ganapathy Iyer ([3], [4]) has discussed the solutions of the functional equations

f(z + A) = g(z)f(z)----(1)
f(λz) = g(z)f(z)-------(2)

where f and g are meromorphic functions. Recently Fred Gross ([2]) has proved that any pair of nonconstant entire functions f, g satisfying equations (1) and (2) cannot both have only at most a finite number of fix-points.

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Published

1972-12-01

How to Cite

Ramakrishnan, A. (1972). On Two Functional Equations. The Journal of the Indian Mathematical Society, 36(3-4), 317–324. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/16674

Issue

Volume 36, Issue 3-4, September-December 1972

Section

Articles

License

Copyright (c) 1972 A. Ramakrishnan

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

E. BOBBL : Sur les zeros des fonctions entires, Acta Math., 20, (1897), 357-396.

FRED GROSS : On some functional equations of Iyer, J. Indian Math. Soc. (2), 32(1968), 221-227.

V. GANAPATHY IYER : On the translation numbers of integral functions, J. Indian Math. Soc. (2), 10(1946), 17-28.

V. GANAPATHY IYER : On a functional equation, J. Indian Math. Soc. (2), 22(1956), 285-290.