Several properties of these transformations including inversion, uniqueness, and analyticity are discussed in some detail.
G. L. N. Rao, L. Debnath 1985, 'A generalized Meijer transformation', International Journal of Mathematics and Mathematical Scienceshttp://dx.doi.org/10.1155/S0161171285000370. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
More properties of consistency, convolution, analyticity, continuity, and sufficient theorems have been established.
S. K. Q. Al-Omari, A. Kılıçman 2014, 'On the Exponential Radon Transform and Its Extension to Certain Functions Spaces',Abstract and Applied Analysishttp://dx.doi.org/10.1155/2014/612391. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Unitarity, analyticity and chiral symmetry are also used to obtain their functional forms.
Loiseau B., Dedonder J.-P., Furman A., Kamiński R., Leśniak L. 2012, 'Dalitz plot studies of D0 → KS0π+π− decays', EPJ Web of Conferenceshttp://dx.doi.org/10.1051/epjconf/20123705001. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Existence and analyticity of these functions are proved.
Perch Melik-Adamyan 2016, 'On Nagy-Foias Characteristic Function in Extensions Theory of Hermitian Operators',Armenian Journal of Mathematicshttp://www.armjmath.sci.am/index.php/ajm/article/view/120. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The constraints imposed by analyticity and unitarity are used to stabilize the extrapolation.
Gasparyan A.M., Lutz M.F.M., Epelbaum E. 2014, 'Dispersion relations in application to chiral two-nucleon dynamics', EPJ Web of Conferenceshttp://dx.doi.org/10.1051/epjconf/20147306007. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
In the complex plane, a very powerful tool appears—analyticity.
Evgeni A. Solov'ev 2015, 'Analyticity and the Global Information Field', Mathematicshttp://www.mdpi.com/2227-7390/3/1/40. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The analyticity of the solutions and the associated eigenproblem are discussed thoroughly.
A. Ludu 2018, 'Vortex Structures inside Spherical Mesoscopic Superconductor Plus Magnetic Dipole',Advances in Mathematical Physicshttp://dx.doi.org/10.1155/2018/8652151. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The sum-rule only relies on general properties such as analyticity, unitarity and crossing.
Roig P., Sanz-Cillero J.J. 2017, 'Sum-rule constraints on possible diphoton resonances at LHC', EPJ Web of Conferenceshttps://doi.org/10.1051/epjconf/201713710010. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The highest acquired score of critical thinking was for truth-seeking (20.4%) and the lowest score acquired for analyticity (4.8%).
Shirin Iranfar, Vida Sepahi, Ahmad Khoshay, Mansour Rezaei, Behzad Karami Matin, FarahnazKeshavarzi, Homayoun Bashiri 2012, 'Critical Thinking Disposition among Medical Students of Kermanshah University of MedicalSciences', Educational Research in Medical Scienceshttp://journals.kums.ac.ir/ojs/index.php/EduRMedS/article/view/1004/2073. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)