54 citations · 460 across the 44 of their papers we have counts for
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Mixed Neumann-Fourier expressions for solving integral equations
Raimundas Vidunas
While teaching a course on integral equations, I noticed that a straightforward combination of Neumann series and Fourier series for the resolvent (or the solution) of an integral…
Darboux evaluations for hypergeometric functions with the projective monodromy PSL(2,F7)
Raimundas Vidunas
Algebraic hypergeometric functions can be compactly expressed as radical functions on pull-back curves where the monodromy group is simpler, say, a finite cyclic group. These so-ca…
Dihedral evaluations of hypergeometric functions with the Kleinian projective monodromy
Raimundas Vidunas
Algebraic hypergeometric functions can be compactly expressed as radical or dihedral functions on pull-back curves where the monodromy group is much simpler. This article considers…
Degenerate and dihedral Heun functions with parameters
Raimundas Vidunas
Just as with the Gauss hypergeometric function, particular cases of the local Heun function can be Liouvillian (that is, "elementary") functions. One way to obtain these functions…
A classification of coverings yielding Heun-to-hypergeometric reductions
Raimundas Vidunas, Galina Filipuk
Pull-back transformations between Heun and Gauss hypergeometric equations give useful expressions of Heun functions in terms of better understood hypergeometric functions. This art…
Transformations and invariants for dihedral Gauss hypergeometric functions
Raimundas Vidunas
Hypergeometric equations with a dihedral monodromy group can be solved in terms of elementary functions. This paper gives explicit general expressions for quadratic monodromy invar…