Abstract:The family of quads of interrelated functions holomorphic on the universal cover of the complex plane without zero (for brevity, pqrs-functions), revealing a number of remarkable properties, is introduced. In particular, under certain conditions the transformations of the argument z of pqrs-functions represented by lifts of the replacements z Ø ´1{z, z Ø ´z, and z Ø 1{z prove to be equivalent to linear transformations with known coefficients. Pqrsfunctions are utilized for constructing of linear operators acti… Show more
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