Lamé's differential equation is a linear differential equation of the second order with a periodic
coefficient involving the Jacobian elliptic function ${\rm sn} $ depending on the modulus $ …

In the $q^{-1}$-symmetric Askey scheme, namely the $q^{-1}$-Askey--Wilson, continuous
dual $q^{-1}$-Hahn, $q^{-1}$-Al-Salam--Chihara, continuous big $q^{-1}$-Hermite and …

The paper investigates the length L m of the m-th instability interval of the Hill equation (1 +
∊A(x))y″ + ∊B(x)y′ + (λ + ∊C(x))y = 0 with A(x), B(x), C(x) being trigonometric polynomials. …

In this paper we present integral representations for products of Lamé functions based on
the theory of fundamental solutions. The kernels of these representations involve Legendre …

Exchange and documentation of knowledge is vital in the industrial environment. The
access to knowledge of colleagues can be essential for fulfilling several tasks. Just as well, …

This paper concerns two-parameter Sturm-Liouville problems of the form \[ - (p(x)y')' + q(x)y =
(\lambda r(x) + \mu )y,\quad a \leqslant x \leqslant b\]with self-adjoint boundary conditions at …

If y(t)=y(t;μ ,λ) is the solution of the differential equation y”+(λ +μ w(t))y=0, a≤ t≤ b, determined
by the initial conditions y(a)=0, y’(a)=1, then F(μ ,λ) =y(b;μ ,λ) is an entire function of two …

In 1946, Magnus presented an addition theorem for the confluent hypergeometric function of
the second kind U with argument x+y expressed as an integral of a product of two U's, one …

… This is a phenomenon similar to the diffusion phenomenon studied by Volkmer in [3]. In his
paper Volkmer studied the dissipative wave equation and the heat equation. Given additional …

… Hans Volkmer … The coexistence problem for even and odd periodic solutions of the Ince
equation is solved building on previous results due to Magnus and Winkler. … This problem has …