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