The existence and uniqueness of holomorphic solution are established.
Rabha W. Ibrahim 2012, 'On Holomorphic Solution for Space- and Time-Fractional Telegraph Equations in ComplexDomain', Journal of Function Spaces and Applicationshttp://dx.doi.org/10.1155/2012/703681. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The necessity of holomorphic nondegeneracy was known previously.
Joël Merker 2001, 'Convergence of formal invertible CR mappings between minimal holomorphically nondegeneratereal analytic hypersurfaces', International Journal of Mathematics and Mathematical Scienceshttp://dx.doi.org/10.1155/S0161171201020117. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Ulam stability for the approximation and holomorphic solutions are suggested.
Rabha W. Ibrahim 2012, 'Ulam Stability for Fractional Differential Equation in Complex Domain', Abstract and Applied Analysishttp://dx.doi.org/10.1155/2012/649517. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
In this paper we obtain a similar holomorphic extension theorem for the cases 2<p
Richard D. Carmichael 1987, 'Holomorphic extension of generalizations of Hp functions. II', International Journal of Mathematics and Mathematical Scienceshttp://dx.doi.org/10.1155/S0161171287000012. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
In contrast, local holomorphic solutions always exist near attracting fixed points.
Bruce van Brunt, Jonathan C. Marshall 2005, 'Holomorphic solutions to linear first-order functional differential equations', Electronic Journal of Differential Equationshttp://ejde.math.txstate.edu/conf-proc/12/b3/abstr.html. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
While proving the theorem, known facts about boundary properties of l-holomorphic functions are applied.
Vladimir G. Nikolaev 2016, 'On decisions of Schwartz' problem for J-analytic functions with the same Jordan basisof real and imaginary parts of J-matrix', Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-MatematičeskieNaukihttp://mi.mathnet.ru/eng/vsgtu1491. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We also obtain some characterization theorems for holomorphic sectional and holomorphic bisectional curvature.
Sangeet Kumar, Rakesh Kumar, R. K. Nagaich 2012, 'Characterization of Holomorphic Bisectional Curvature of GCR-Lightlike Submanifolds',Advances in Mathematical Physicshttp://dx.doi.org/10.1155/2012/356263. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The existence and uniqueness of holomorphic solutions are established.
Rabha W. Ibrahim 2012, 'Ulam Stability for Fractional Differential Equation in Complex Domain', Abstract and Applied Analysishttp://dx.doi.org/10.1155/2012/649517. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
In addition, we also construct holomorphic retractions onto the stationary point sets of such semigroups.
Simeon Reich, David Shoikhet 1998, 'Metric domains, holomorphic mappings and nonlinear semigroups', Abstract and Applied Analysishttp://dx.doi.org/10.1155/S1085337598000529. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)