Results 11 to 20 of about 39,333 (245)
The resultant on compact Riemann surfaces [PDF]
, 2008 We introduce a notion of resultant of two meromorphic functions on a compact Riemann surface and demonstrate its usefulness in several respects. For example, we exhibit several integral formulas for the resultant, relate it to potential theory and give ...
A. Lascoux +40 more
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Universal radial limits of meromorphic functions in the unit disk
Comptes Rendus. Mathématique, 2022 We consider the space of meromorphic functions in the unit disk $\mathbb{D}$ and show that there exists a dense $G_{\delta }$-subset of functions having universal radial limits.
Meyrath, Thierry
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Polar harmonic Maass forms and their applications [PDF]
, 2016 In this survey, we present recent results of the authors about non-meromorphic modular objects known as polar harmonic Maass forms. These include the computation of Fourier coefficients of meromorphic modular forms and relations between inner products of
Bringmann, Kathrin, Kane, Ben
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Starlike Meromorphic Functions [PDF]
Proceedings of the American Mathematical Society, 1972 In this paper we study meromorphic univalent functions which map the unit disk onto the exterior of a domain which is starlike with respect to some finite point different from the origin. We obtain bounds on the arc length, an integral representation, and bounds on the maximum modulus of starlike meromorphic functions.
openaire +2 more sources
Applied Mathematics in Science and Engineering, 2023 The authors address the complex oscillation problems of all solutions of homogenous linear differential equations with meromorphic coefficients. Sufficient conditions for estimating the growth of meromorphic solution with infinite order have been ...
Zhongwei He, Lingyun Gao
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Hausdorff dimension of escaping sets of meromorphic functions
, 2020 We give a complete description of the possible Hausdorff dimensions of escaping sets for meromorphic functions with a finite number of singular values. More precisely, for any given $d\in [0,2]$ we show that there exists such a meromorphic function for ...
Aspenberg, Magnus, Cui, Weiwei
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Existence of meromorphic solutions of first order difference equations [PDF]
, 2018 It is shown that if It is shown that if \begin{equation}\label{abstract_eq} f(z+1)^n=R(z,f),\tag{\dag} \end{equation} where $R(z,f)$ is rational in $f$ with meromorphic coefficients and $\deg_f(R(z,f))=n$, has an admissible meromorphic solution ...
Korhonen, Risto, Zhang, Yueyang
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ON MULTIVALENT HARMONIC MEROMORPHIC FUNCTIONS INVOLVING HYPERGEOMETRIC FUNCTIONS [PDF]
المجلة العراقية للعلوم الاحصائية, 2011 In this paper we introduce a subclass of multivalent harmonic meromorphic functions defined in the exterior of the unit disk by using generalize hypergeometric functions.
ABDULRAHMAN SALMAN JUMA
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Applications ~of $Q$-hypergeometric and Hurwitz-Lerch Zeta Functions on Meromorphic Functions [PDF]
Mathematics Interdisciplinary Research, 2023 A new subclass of meromorphic univalent functions by using the q-hypergeometric and Hurwitz-Lerch Zeta functions is defined. Also, by applying the generalized Liu-Srivastava operator on meromorphic functions, some geometric properties of the new ...
Seyed Hadi Sayedain Boroujeni +1 more
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Invariant meromorphic functions on Stein spaces [PDF]
, 2010 In this paper we develop fundamental tools and methods to study meromorphic functions in an equivariant setup. As our main result we construct quotients of Rosenlicht-type for Stein spaces acted upon holomorphically by complex-reductive Lie groups and ...
Greb, Daniel, Miebach, Christian
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