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Dirichlet级数的Dirichlet-Hadamard乘积 被引量:17

The Dirichlet-Hadamard Product of Dirichlet Series
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摘要 作者构造一个由两个Dirichlet级数组成的Dirichlet-Hadamard乘积,得到它的(下)q-级和(下)q-型的上界或下界的估计定理,并证明了在一定条件下所得的Dirichlet-Hadamard乘积是完全正规增长的,并把相应结果推广到乘积函数的线性代换中. The present paper concerns with some estimates on the upper and the lower bounds of the (lower) q-order and the (lower) q-type of a new product function defined by two Dirichlet series, named the Dirichlet-Hadamard product. This product is of regular growth or perfectly regular growth, when two constituent Dirichlet series satisfy some special conditions. Finally, we generalize a result to the subject of linear substitution.
出处 《数学年刊(A辑)》 CSCD 北大核心 2014年第2期145-152,共8页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.11101096 No.11301140 No.11271045) 广东省自然科学基金(No.S2012010010376)的资助
关键词 Dirichlet-Hadamard乘积 (下)q-级 (下)q-型 完全正规增长 Dirichlet-Hadamard product, (Lower) q-order, (Lower) q-type,Perfectly regular growth
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  • 1Valiron G., Entire function and Borel's directions, Proc. Nat. Acad. Sci. USA, 1934, 20:211-215.
  • 2Bajpai S. K., Kapoor G. P., Juneja O. P., On entire function of fast growth, Trans. Amer. Math. Soc., 1975, 203:275-297.
  • 3Sayyed K. A. M., Metally M. S., Mohamed M. T., Some orders and types of generalized Hadamard product of entire functions, Southeast Asian Bulletin of Mathematics, 2002, 26:121-132.
  • 4Choi J. tI., Kim Y. C., Owa S., Generalization of Hadamard Products of functions with negative coefficients, J. Math. Anal. Appl., 1999: 495-501.
  • 5Yu J. R., Dirichlet Series and Random Dirichlet Series, Beijing: Science Press, 1997.
  • 6Gao Z. S., Sun D. C., Random Dirichlet series dealing with small functions, Acre Mathernatica Sinica, Chinese Series, 2003, 46(2): 397-402.
  • 7Kong Y. Y., Gan H. L., On orders and types of Dirichlet series of slow growth, Turkish Journal of Mathematics, to appear.
  • 8He L. Z., On the (p, q)(R) type and lower (p, q)(R) type of entire functions defined by Dirichlet series, Journal of Wuhan University (Sci,), 1985, 4:17-26 .
  • 9He L. Z., On the (p, q)(R) order and lower (p, q)(R) order of entire functions defined by Dirichlet series, Journal of Wuhan University (Sci.), 1983, 3: 73-89.
  • 10Nautiyal A., On the growth of an analytic function represented by Dirichlet series, Indian J. Pure. Appl. Math., 1981, 12(10): 1224-1234.

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