Geodesic
The summary equation for functions holomorphic in the exterior of a triangle
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2008), pp. 19-26

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We consider the six-element summarized equation in the class of functions which are holomorphic in the exterior of a regular triangle and vanishing at infinity. We apply the method of integral equations and the theory of elliptic functions. Using the obtained results, we construct biorthogonal systems of holomorphic functions and study the problem of moments for integer functions of a finite degree.
Keywords: summarized equation, biorthogonal systems, moments of integer functions. 
@article{IVM_2008_9_a2,
     author = {F. N. Garif'yanov},
     title = {The summary equation for functions holomorphic in the exterior of a triangle},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {19--26},
     publisher = {mathdoc},
     number = {9},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_9_a2/}
}
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F. N. Garif'yanov. The summary equation for functions holomorphic in the exterior of a triangle. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2008), pp. 19-26. http://geodesic.mathdoc.fr/item/IVM_2008_9_a2/