NING Juhong; CHEN Jingjing; DENG Guanti. The (p,q) order of generalized Laplace-Stieltjes transforms[J]. Journal of Beijing Normal University(Natural Science), 2017, 53(3): 263-266. DOI: 10.16360/ j.cnki.jbnuns.2017.03.003
Citation: NING Juhong; CHEN Jingjing; DENG Guanti. The (p,q) order of generalized Laplace-Stieltjes transforms[J]. Journal of Beijing Normal University(Natural Science), 2017, 53(3): 263-266. DOI: 10.16360/ j.cnki.jbnuns.2017.03.003

The (p,q) order of generalized Laplace-Stieltjes transforms

  • The growth of entire functions represented by generalized Laplace-Stieltjes transforms defined in a piece wise smooth jordan curve starting from origin in half right plane is studied. The maximum modulus M(r,F) and the maximum term m(r,F) of F(s) in the circle |z| = rare defined. The conception of (p,q) order is introduced. Equivalence relation between (p,q) order represented by maximum modulus M(r,F) and (p,q) order represented by An, λn(n=1,2,…) is then obtained.
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