Results 91 to 100 of about 10,386,040 (275)
The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices
Transactions of the American Mathematical Society, 2017 Starting with a discrete 3 × 3 3\times 3 matrix spectral problem, the hierarchy of Bogoyavlensky lattices which are pure differential-difference equations are derived with the aid of the Lenard recursion equations and the stationary ...
Jiao Wei, X. Geng, Xin Zeng
semanticscholar +1 more source
, 2007 We consider a continuous function $f$ on a domain in $\mathbf C^n$ satisfying the inequality that $|\bar \partial f|\leq |f|$ off its zero set. The main conclusion is that the zero set of $f$ is a complex variety.
Gong, Xianghong, Rosay, Jean-Pierre
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On a criterion for the univalence of holomorphic functions [PDF]
Proceedings of the American Mathematical Society, 1980 A sufficient condition for the univalence of holomorphic functions in the unit disc is given in terms of | f / f ′ | |f/f’| .
Ming Chit Liu, Kee Wai Lau
openaire +2 more sources
Communications on Pure and Applied Mathematics, Volume 78, Issue 10, Page 2001-2118, October 2025.Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta +2 more
wiley +1 more source
Image of Lp(ℝn) under the Hermite Semigroup
International Journal of Mathematics and Mathematical Sciences, 2008 It is shown that the Hermite (polynomial) semigroup {e−tℍ:t>0} maps Lp(ℝn,ρ) into the space of holomorphic functions in Lr(ℂn,Vt,p/2(r+ϵ)/2) for each ϵ>0, where ρ is the Gaussian measure, Vt,p/2(r+ϵ)/2 is a scaled version of Gaussian measure with r=p if ...
R. Radha, D. Venku Naidu
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On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz–Lerch Zeta Functions
Mathematics, 2020 In the z- domain, differential subordination is a complex technique of geometric function theory based on the idea of differential inequality. It has formulas in terms of the first, second and third derivatives.
Hiba Al-Janaby +2 more
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Fractional moments of L$L$‐functions and sums of two squares in short intervals
Mathematika, Volume 71, Issue 4, October 2025.Abstract Let b(n)=1$b(n)=1$ if n$n$ is the sum of two perfect squares, and b(n)=0$b(n)=0$ otherwise. We study the variance of B(x)=∑n⩽xb(n)$B(x)=\sum _{n\leqslant x}b(n)$ in short intervals by relating the variance with the second moment of the generating function f(s)=∑n=1∞b(n)n−s$f(s)=\sum _{n=1}^{\infty } b(n)n^{-s}$ along Re(s)=1/2$\mathrm{Re}(s)=1/
Siegfred Baluyot, Steven M. Gonek
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Monogenic Functions in a Finite-Dimensional Semi-Simple Commutative Algebra
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 We obtain a constructive description of monogenic functions taking values in a finite-dimensional semi-simple commutative algebra by means of holomorphic functions of the complex variable.
Plaksa S. A., Pukhtaievych R. P.
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A characterization of holomorphic bivariate functions of bounded index
, 2017 The following notion of bounded index for complex entire functions was presented by Lepson. function f(z) is of bounded index if there exists an integer N independent of z, such that max{l:0≤l≤N}|f(l)(z)|l!≥|f(n)(z)|n!for alln. $$ \max\limits_{\{l: 0\leq
R. Patterson, F. Nuray
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Selfdual Einstein metrics and conformal submersions [PDF]
, 2000 Weyl derivatives, Weyl-Lie derivatives and conformal submersions are defined, then used to generalize the Jones-Tod correspondence between selfdual 4-manifolds with symmetry and Einstein-Weyl 3-manifolds with an abelian monopole.
Calderbank, David M. J.
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