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The Heun functions as a modern powerful tool for research in different scientific domains

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arxiv 1512.04025 v1 pith:NTZWRIV7 submitted 2015-12-13 math-ph math.MP

P P Fiziev This is my paper
classification math-phmath.MP
keywords differentdomainsfunctionsheunmodernpowerfulresearchscientific
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In this rather popular paper we stress some basics of the theory and the huge amount of applications of the Heun functions, as well as the still existing basic unsolved problems. The point is to attract more attention to this modern powerful tool for research in different scientific domains.

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  1. Janus correlators and Heun's equation

    hep-th 2025-06 conditional novelty 6.0 of 10

    In the 3D Janus background, defect operator dimensions shift by O(c_J^2), and BOPE coefficients are read off as residues of Heun connection coefficients.

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