Results 21 to 30 of about 89,211 (190)

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

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

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

Compact weighted composition operators and fixed points in convex domains [PDF]

, 2006
We extend a classical result of Caughran/Schwartz and another recent result of Gunatillake by showing that if D is a bounded, convex domain in n-dimensional complex space, m is a holomorphic function on D and bounded away from zero toward the boundary of
Clahane, Dana D.
core   +5 more sources

Holomorphic waves of black hole microstructure

Journal of High Energy Physics, 2020
We obtain the largest families constructed to date of 1 8 $$ \frac{1}{8} $$ -BPS solutions of type IIB supergravity. They have the same charges and mass as supersymmetric D1-D5-P black holes, but they cap off smoothly with no horizon.
Pierre Heidmann, Daniel R. Mayerson, Robert Walker, Nicholas P. Warner   +3 more
doaj   +1 more source

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

Holomorphic Functions and polynomial ideals on Banach spaces [PDF]

, 2010
Given $\u$ a multiplicative sequence of polynomial ideals, we consider the associated algebra of holomorphic functions of bounded type, $H_{b\u}(E)$. We prove that, under very natural conditions verified by many usual classes of polynomials, the spectrum
Carando, Daniel, Dimant, Verónica, Muro, Santiago   +2 more
core   +2 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