Results 41 to 50 of about 10,586,623 (271)

Noncritical holomorphic functions on Stein spaces

, 2015
We prove that every reduced Stein space admits a holomorphic function without critical points. Furthermore, any closed discrete subset of such a space is the critical locus of a holomorphic function.
Forstneric, Franc
core   +1 more source

New Applications of Gegenbauer Polynomials on a New Family of Bi-Bazilevič Functions Governed by the q-Srivastava-Attiya Operator

Mathematics, 2022
In the present paper, making use of Gegenbauer polynomials, we initiate and explore a new family JΣ(λ,γ,s,t,q;h) of holomorphic and bi-univalent functions which were defined in the unit disk D associated with the q-Srivastava–Attiya operator.
Abbas Kareem Wanas, Luminiţa-Ioana Cotîrlǎ   +1 more
doaj   +1 more source

Holomorphic extension of the de Gennes function [PDF]

, 2016
This note is devoted to prove that the de Gennes function has a holomorphic extension on a strip containing the real ...
Bonnaillie-Noël, Virginie, Hérau, Frédéric, Raymond, Nicolas   +2 more
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A Carleman type theorem for proper holomorphic embeddings

, 1996
In 1927, Carleman showed that a continuous, complex-valued function on the real line can be approximated in the Whitney topology by an entire function restricted to the real line. In this paper, we prove a similar result for proper holomorphic embeddings.
D. Gaier, F. Forstneric, F. Forstneric, F. Forstneric, Franc Forstneric, G. Buzzard, Gregery T. Buzzard, J.-P. Rosay, J.-P. Rosay, J.-P. Rosay, L. Hörmander, M. Suzuki, N. U. Arakelian, R. Narasimhan, S. S. Abhyankar, T. Carleman, W. Rudin, Y. Eliashberg   +17 more
core   +1 more source

Chiral Deformations of Conformal Field Theories [PDF]

, 1996
We study general perturbations of two-dimensional conformal field theories by holomorphic fields. It is shown that the genus one partition function is controlled by a contact term (pre-Lie) algebra given in terms of the operator product expansion.
Awata, Bakas, Bakas, Bershadsky, Bershadsky, Borcherds, Cardy, Depirieux, Dijkgraaf, Dijkgraaf, Eguchi, Frenkel, Frenkel, Gerstenhaber, Gross, Howes, Kaneko, Kutasov, Nemeschansky, Nemeschansky, Ostlund, Robbert Dijkgraaf, Schellekens, Schellekens, Verlinde, Witten   +25 more
core   +4 more sources

Differential and fuzzy differential sandwich theorems involving quantum calculus operators

Journal of Nigerian Society of Physical Sciences
The principle of subordination is useful in comparing two holomorphic functions when the range of one holomorphic function is a subset of the other and they comply at a single point.
I. R. Silviya, K. Muthunagai
doaj   +1 more source

Weighted Composition Operators from Generalized Weighted Bergman Spaces to Weighted-Type Spaces

Journal of Inequalities and Applications, 2009
Let φ be a holomorphic self-map and let ψ be a holomorphic function on the unit ball B. The boundedness and compactness of the weighted composition operator ψCφ from the generalized weighted Bergman space into a class of ...
Dinggui Gu
doaj   +1 more source

Duality and mock modularity

SciPost Physics, 2020
We derive a holomorphic anomaly equation for the Vafa-Witten partition function for twisted four-dimensional $\mathcal{N} =4$ super Yang-Mills theory on $\mathbb{CP}^{2}$ for the gauge group $SO(3)$ from the path integral of the effective theory on ...
Atish Dabholkar, Pavel Putrov, Edward Witten
doaj   +1 more source

A heterotic Kodaira-Spencer theory at one-loop

Journal of High Energy Physics, 2023
We consider a heterotic version of six-dimensional Kodaira-Spencer gravity derived from the heterotic superpotential. We compute the one-loop partition function and find it can be expressed as a product of holomorphic Ray-Singer torsions.
Anthony Ashmore, Javier José Murgas Ibarra, David Duncan McNutt, Charles Strickland-Constable, Eirik Eik Svanes, David Tennyson, Sander Winje   +6 more
doaj   +1 more source

On the Implications of Discrete Symmetries for the Beta Function of Quantum Hall Systems

, 1998
We argue that the large discrete symmetry group of quantum Hall systems is insufficient in itself to determine the complete beta function for the scaling of the conductivities, $\sigma_{xx}$ and $\sigma_{xy}$.
Burgess, C.A. Lütken, C.P. Burgess, Hecke, Hikami, Huckestein, Huckestein, Huckestein, Kivelson, Koch, Latorre, Ritz, Sondhi, Verbaarschot, Wei   +14 more
core   +1 more source