共查询到20条相似文献,搜索用时 15 毫秒
1.
We define Knopp-Kojima maximum modulus and the Knopp-Kojima maximum term of Dirichlet series on the right half plane by the
method of Knopp-Kojima, and discuss the relation between them. Then we discuss the relation between the Knopp-Kojima coefficients
of Dirichlet series and its Knopp-Kojima order defined by Knopp-Kojima maximum modulus. Finally, using the above results,
we obtain a relation between the coefficients of the Dirichlet series and its Ritt order. This improves one of Yu Jia-Rong’s
results, published in Acta Mathematica Sinica 21 (1978), 97–118. We also give two examples to show that the condition under which the main result holds can not be weakened. 相似文献
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The question is investigated of the coincidence on a ray and in a half-plane of generalized orders of growth of analytic functions represented by Dirichlet series absolutely convergent in the half-plane.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 3, pp. 363–371, March, 1990. 相似文献
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This article investigates the convergence and growth of multiple Dirichlet series. The Valiron formula of Dirichlet series is extended to n-tuple Dirichlet series and an equivalence relation between the order of n-tuple Dirichlet series and its coefficients and exponents is obtained. 相似文献
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The theory of chromatic derivatives leads to chromatic series which replace Taylor's series for bandlimited functions. For such functions, these series have a global convergence property not shared by Taylor's series. In this work the theory is extended to bandlimited functions of slow growth. This includes many signals of practical importance such as polynomials, periodic functions and almost periodic functions. This extension also enables us to get improved local convergence results for chromatic series. 相似文献
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Conditions are found under which for an entire function f represented by a Dirichlet series with finite Ritt order on some sequence (xk), 0 < xk , as k one has ¦f(xk)¦=Mt((1 + 0(1) xk), Mf(x)=sup {¦ f (z) ¦:Re z x}.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 2, pp. 265–269, February, 1991. 相似文献
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N. N. Yusupova 《Russian Mathematics (Iz VUZ)》2009,53(5):38-47
For a class of Dirichlet series defined by a certain convex growth majorant we establish conditions for a sequence of indices which provide the implementation of precise estimates for their increase and decrease on curves that tend to infinity in a special way. 相似文献
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O. B. Skaskiv 《Ukrainian Mathematical Journal》1993,45(5):745-760
The behavior of the Dirichlet series with null abscissa of absolute convergence is studied on semistrips.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 5, pp. 681–693, May, 1993. 相似文献
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N. I. Grechanyuk 《Ukrainian Mathematical Journal》1989,41(8):896-902
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 8, pp. 1047–1053, August, 1989. 相似文献
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Behavior on the real line of entire functions represented by Dirichlet series with complex exponents
It is shown, in particular, that if n k when n k, Re n > 0, and
, then an entire function F that is bounded on the real line and represented by a Dirichlet series
dn exp (nz) that is uniformly and absolutely convergent on each compactum in is identically zero.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 7, pp. 882–888, July, 1990. 相似文献
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Given modular forms f and g of weights k and ?, respectively, their Rankin-Cohen bracket corresponding to a nonnegative integer n is a modular form of weight k+?+2n, and it is given as a linear combination of the products of the form f(r)g(n−r) for 0?r?n. We use a correspondence between quasimodular forms and sequences of modular forms to express the Dirichlet series of a product of derivatives of modular forms as a linear combination of the Dirichlet series of Rankin-Cohen brackets. 相似文献
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B. M. Shirokov 《Journal of Mathematical Sciences》1979,11(2):353-359
Two theorems are proved on Dirichlet series of a special type related to multiplicative functions f(n), ¦f(n)¦1. These theorems develop well-known results of Halász (G. Halász, Acta Math. Acad. Sci. Hungar.,19, Nos. 3–4, 365#x2013;404 (1968)).Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 50, pp. 187–194, 1975. 相似文献
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A. Laurinčikas 《Lithuanian Mathematical Journal》1984,24(4):358-365