ON CERTAIN FUNCTIONAL EQUATION HAVING SOLUTION IN THE SPACES r-(p,q) AND r (p,T) OF ENTİRE FUNCTIONS

Authors : P.d. SRIVASTAVA

Pages : 0-0

Doi:10.1501/Commua1_0000000241

View : 7 | Download : 7

Publication Date : 1985-01-01

Article Type : Research Paper

Abstract :tJsing functional analysis technigues, it is shown that the functional eguation finsert ignore into journalissuearticles values(Z + W;); — insert ignore into journalissuearticles values(3 finsert ignore into journalissuearticles values(z); = ginsert ignore into journalissuearticles values(z); always has a solution in the spaces insert ignore into journalissuearticles values(p); and rinsert ignore into journalissuearticles values(p_insert ignore into journalissuearticles values(P,T); to which g helongs. ît is also sh.own that these spaces are Montel. The results of this paper generalize the corres- ponding results of Whittaker [10], Scott [8] and Krishnamurthy [5j. 1. Whıttaker’s [10] classical theorem States that for any entire function g of order p tkere existg such. that the eguation an entire function f of the same order
Keywords : FUNCTIONAL EQUATION, ENTİRE FUNCTIONS, CERTAIN