PulseExploreJournal ClubResearchersJournals
Instagram
HomeJournal ClubExplore
Synapse
⌘+K
Synapse
May 28, 2026Russian Mathematics

The Riemann Boundary Value Problem in a Half-Plane for Generalized Analytic Functions with a Supersingular Line

View Full Paper
Ask AI
Bookmark
Share

Authors

PSP. L. Shabalin

Discussion

Loading...

Member takes

Overview

Randomized trial investigates the solvability of Riemann boundary problems in half-planes, suggesting new approaches to complex functions.

Key Points

  • This research aims to explore the solvability of an inhomogeneous Riemann boundary value problem involving generalized analytic functions.
  • Derived a structural formula for general solutions of the generalized Cauchy–Riemann equation.
  • Conducted a thorough study of the solvability concerning a boundary condition on the real axis.
  • Focused on functions with a strong coefficient singularity and infinite power-order index.
  • Formulated a general solution to the Riemann boundary value problem.
  • Illustrated the solvability conditions for generalized analytic functions.

Cite This Study

P. L. Shabalin (2026) studied this question.

synapsesocial.com/papers/6a17db293fad632b0f9d7fa9https://doi.org/10.3103/s1066369x26700155
View Full Paper
Ask AI
Bookmark
Share