175 citations · 1.5k across the 67 of their papers we have counts for
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An integral formula for L^2-eigenfunctions of a fourth order Bessel-type differential operator
Toshiyuki Kobayashi, Jan Möllers
We find an explicit integral formula for the eigenfunctions of a fourth order differential operator against the kernel involving two Bessel functions. Our formula establishes the r…
Orthogonal polynomials associated to a certain fourth order differential equation
Joachim Hilgert, Toshiyuki Kobayashi, Gen Mano +1
We introduce orthogonal polynomials as eigenfunctions of a certain self-adjoint fourth order differential operator depending on two parameters an…
Special functions associated to a certain fourth order differential equation
Joachim Hilgert, Toshiyuki Kobayashi, Gen Mano +1
We develop a theory of "special functions" associated to a certain fourth order differential operator on depending on two parameters . For int…
Generalized Bernstein--Reznikov integrals
Jean-Louis Clerc, Toshiyuki Kobayashi, Bent Ørsted +1
We find a closed formula for the triple integral on spheres in whose kernel is given by powers of the standard symplecti…