Application of polyelement equations for functions analytic in a cut plane to interpolation problems for entire functions of class A
https://doi.org/10.26907/2949-3919.2026.2.76-85
Abstract
Linear polyelement equations are investigated for functions analytic in a plane with a symmetric cut along the imaginary axis and vanishing at infinity. The solution is sought in the class of functions representable by a Cauchy-type integral over given cuts with an even or odd density. The regularization of these equations and the question of its equivalence are studied. In this process, the theory of elliptic functions is substantially used. The obtained results are applicable to the study of interpolation problems for entire functions of exponential type from class A.
About the Authors
F. N. Garif’yanov
Kazan State Power Engineering University
Russian Federation
Russian Federation
Farhat Nurgayazovich Garif’yanov,
51, Krasnoselskaya str., Kazan 420066.
E. I. Gizzatullina
Kazan State Power Engineering University; UPO «KIU College»
Russian Federation
Russian Federation
Elvira Ilhamovna Gizzatullina,
51, Krasnoselskaya str., Kazan 420066.
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Review
For citations:
Garif’yanov F.N., Gizzatullina E.I. Application of polyelement equations for functions analytic in a cut plane to interpolation problems for entire functions of class A. Mathematics and Theoretical Computer Science. 2026;4(2):76-85. (In Russ.) https://doi.org/10.26907/2949-3919.2026.2.76-85
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