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Journal of Mathematical Physics, 1992
A method is provided whereby solutions of the inhomogeneous wave equations that describe the propagation of positive-frequency photons in the forward tube of complex Minkowski space may be formally expressed in terms of integrals involving the tensor product of appropriate Green’s functions.
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A method is provided whereby solutions of the inhomogeneous wave equations that describe the propagation of positive-frequency photons in the forward tube of complex Minkowski space may be formally expressed in terms of integrals involving the tensor product of appropriate Green’s functions.
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Ukrainian Mathematical Journal, 1988
Let P denote the class of functions p(z) that are analytic in the unit disk E and satisfy the conditions \(p(0)=1\) and Re p(z)\(>0\) for \(z\in E\). Let \[ S(w,\alpha)=w(z)+\alpha zw'(z)/w(z), \] where \(\alpha >0\) and w(z) is analytic in E with w(z)\(\neq 0\) and \(w(0)=1\).
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Let P denote the class of functions p(z) that are analytic in the unit disk E and satisfy the conditions \(p(0)=1\) and Re p(z)\(>0\) for \(z\in E\). Let \[ S(w,\alpha)=w(z)+\alpha zw'(z)/w(z), \] where \(\alpha >0\) and w(z) is analytic in E with w(z)\(\neq 0\) and \(w(0)=1\).
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Functional equations, alternating expansions, and generalizations of the Salem functions
Aequationes Mathematicae, 2023Serbenyuk Symon
exaly
Systems of functional equations and generalizations of certain functions
Aequationes Mathematicae, 2021Serbenyuk Symon
exaly
2017
There are certain approaches to the construction of the field of real numbers which do not refer to the field of rationals. Two of these ideas are closely related to stability investigations for the Cauchy equation and for some homogeneity equation.
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There are certain approaches to the construction of the field of real numbers which do not refer to the field of rationals. Two of these ideas are closely related to stability investigations for the Cauchy equation and for some homogeneity equation.
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Real-valued general solutions of difference functional equations
Уфимская осенняя математическая школа - 2022. Т.1, 2022openaire +1 more source
On the solution of a functional equation in the real domain
Siberian Mathematical Journal, 1971openaire +3 more sources
On a functional equation which contains a real-valued function of vector variable
Periodica Mathematica Hungarica, 1974openaire +1 more source
On Certain Real Solutions of Babbage's Functional Equation
The Annals of Mathematics, 1916openaire +1 more source
Functional equations of zeta functions associated with homogeneous cones
Tohoku Mathematical Journal, 2020Hideto Nakashima
exaly