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On a certain functional equation and its application to the Schwarz problemThe Schwarz problem for J-analytic functions in an ellipse is considered. In this case, the matrix

Analytical representations for the truncated spectral characteristics of the four-point coherence function of a laser beam in a turbulent medium approximate analytical expressions for the four-point coherence function of a laser beam propagating in a

Coefficient Inequalities for Bloch Functions of the Taylor coefficients of Bloch functions. We use one of these estimates to prove an inequality of an area

Controlling multiple diffraction with quasiperiodic gratings. The structure of a quasiperiodic grating is a superposition of harmonic functions, which provide a discrete

Quasisolution of the inverse 3D aerohydrodynamics problemAnalytic function

Sharp estimates for integral means for three classes of domainsanalytic univalent function

Sharp Bohr type inequality inequality for bounded analytic functions defined on the unit disk. We also prove two other sharp versions

Sum-difference equation for analytic functions generated by pentagon and its application© 2016, Pleiades Publishing, Ltd.For analytic functions, we study poly-element linear functional

Analytic continuation of the Appell function F 1 and integration of the associated system of equations in the logarithmic caseThe Appell function F1 (i.e., a generalized hypergeometric function of two complex variables) and a

Linear multiplicative functionals of algebras of S-analytic functions on groups extendability of linear multiplicative functionals of the algebra AS of S-analytic functions on G with spectra

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