On the growth properties of the Laplace–Stieltjes transform

References

• Yu , JR . 1997 . Dirichlet series and random Dirichlet series , Beijing : Science Press .
   Google Scholar
• Yu , JR . 2004 . Julia lines of random Dirichlet series . Bull. Sci. Math. , 128 : 341 – 353 .
   Web of Science ®Google Scholar
• Sun , DC and Gao , ZS . 2002 . The growth of Diriechlet series on the half-plane . Acta Math. Sci. , 22A : 557 – 563 .
   Google Scholar
• Shang , LN and Gao , ZS . 2008 . Entire functions defined by Dirichlet series . J. Math. Anal. Appl. , 339 : 853 – 862 .
   Web of Science ®Google Scholar
• Kong YY. On some q-orders and q-types of Dirichlet-Hadamard product function. Acta Math. Sinica (Chin. Ser.). 2009;52:1165–1172.
   Google Scholar
• Kong , YY and Gan , HL . 2010 . On orders and types of Dirichlet series of slow growth . Turk J Math. , 34 : 1 – 11 .
   Web of Science ®Google Scholar
• Yu , JR . 1963 . Borel’s line of entire functions represented by Laplace-Stieltjes transformation . Acta Math. Sinica. , 13 : 471 – 484 .
   Google Scholar
• Batty , CJK . 1990 . Tauberian theorems for the Laplace-Stieltjes transform . Trans. Amer. Math. Soc. , 322 : 783 – 804 .
   Web of Science ®Google Scholar
• Shang LN, Gao ZS. The value distribution of analytic functions defined by Laplace-Stieltjes transforms. Acta Math. Sinica (Chin. Ser.). 2008;5:993–1000.
   Google Scholar
• Kong , YY and Sun , DC . 2008 . On the growth of zero order Laplace-Stieltjes transforms convergent in the right half-plane . Acta Math. Sci. , 28B : 431 – 440 .
   Google Scholar
• Kong , YY and Sun , DC . 2008 . On Type-function and the growth of Laplace-Stieltjes transformations convergent in the right half-plane . Adv. Math. , 37 : 197 – 205 .
   Google Scholar
• Kong YY. Laplace-stieltjes transforms of infinite order in the right half-plane. Acta Math. Sinica (Chin. Ser.). 2012;55:141–148.
   Google Scholar
• Li YX, Deng GT. Order and type of entire function of finite order represented by Laplace-Stieltjes transform. J. Beijing Normal Univ. (Natur. Sci.). 2009;45:244–246.
   Google Scholar
• Valiron , G . 1960 . Entire functions of finite order and meromorphic functions , Geneve : L’Enseigenment Mathematique .
   Google Scholar
• Yu , JR . 1978 . Some properties of random Dirichlet series . Acta Math. Sinica. , 21 : 97 – 118 .
   Google Scholar