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M. Obradovi? 《Journal of Mathematical Analysis and Applications》2007,336(2):758-767
Let U(λ) denote the class of all analytic functions f in the unit disk Δ of the form f(z)=z+a2z2+? satisfying the condition
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Matthew Boylan 《Journal of Number Theory》2003,98(2):377-389
Let F(z)=∑n=1∞a(n)qn denote the unique weight 16 normalized cuspidal eigenform on . In the early 1970s, Serre and Swinnerton-Dyer conjectured that
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Shin-ichiro Mizumoto 《Journal of Number Theory》2004,105(1):134-149
For j=1,…,n let fj(z) and gj(z) be holomorphic modular forms for such that fj(z)gj(z) is a cusp form. We define a series
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Michela Eleuteri 《Journal of Mathematical Analysis and Applications》2008,344(2):1120-1142
We prove regularity results for minimizers of functionals in the class , where is a fixed function and f is quasiconvex and fulfills a growth condition of the type
L−1|z|p(x)?f(x,ξ,z)?L(1+|z|p(x)), 相似文献
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Let −Dω(·,z)D+q be a differential operator in L2(0,∞) whose leading coefficient contains the eigenvalue parameter z. For the case that ω(·,z) has the particular form
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In 2001, Borwein, Choi, and Yazdani looked at an extremal property of a class of polynomial with ±1 coefficients. Their key result was:
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(See Borwein, Choi, Yazdani, 2001.) Letf(z)=±z±z2±?±zN−1, and ζ a primitive Nth root of unity. If N is an odd positive integer then
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Thomas H. MacGregor 《Journal of Mathematical Analysis and Applications》2003,282(1):163-176
We consider Hadamard products of power functions P(z)=(1−z)−b with functions analytic in the open unit disk in the complex plane, and an integral representation is obtained when 0<Reb<2. Let where μ is a complex-valued measure on the closed unit disk Such sequences are shown to be multipliers of Hp for 1?p?∞. Moreover, if the support of μ is contained in a finite set of Stolz angles with vertices on the unit circle, we prove that {μn} is a multiplier of Hp for every p>0. When the support of μ is [0,1] we get the multiplier sequence which provides more concrete applications. We show that if the sequences {μn} and {νn} are related by an asymptotic expansion
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Richard Fournier 《Journal of Mathematical Analysis and Applications》2009,351(1):163-169
Let p(z)=a0+?+anzn and q(z)=b0+? be polynomials of degree respectively n and less than n such that
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F.M. Al-Oboudi K.A. Al-Amoudi 《Journal of Mathematical Analysis and Applications》2008,339(1):655-667
We introduce classes of analytic functions related to conic domains, using a new linear multiplier fractional differential operator (n∈N0={0,1,…}, 0?α<1, λ?0), which is defined as
D0f(z)=f(z), 相似文献
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Jaume Llibre 《Journal of Mathematical Analysis and Applications》2009,357(2):427-189
In this paper we classify the centers, the cyclicity of their Hopf bifurcation and the isochronicity of the polynomial differential systems in R2 of degree d that in complex notation z=x+iy can be written as
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Let be a log-concave function and for z∈Rn, define
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Jaume Llibre 《Journal of Differential Equations》2009,246(6):2192-189
In this paper we classify the centers, the cyclicity of its Hopf bifurcation and their isochronicity for the polynomial differential systems in R2 of arbitrary degree d?3 odd that in complex notation z=x+iy can be written as