Take a linear ordinary differential operator d(z) = Pk i=1 Qi(z) d dzi with polynomial coefficients and set r = maxi=1,...,k(degQi(z) − i). If d(z) satisfies the conditions: i) r ≥ 0 and ii) degQk(z) = k + r we call it a nondegenerate higher Lamé operator. Following the classical examples of E. Heine and T. Stieltjes we initiated in [6] the study of the following multiparameter spectral problem...

In an earlier paper on differential posets, two lattices Fib(r) and Z(r) were defined for each positive integer r, and were shown to have some interesting combinatorial properties. In this paper the investigation of Fib(r) and Z(r) is continued. A bijection 1Jf: Fib(r)--+ Z(r) is shown to preserve many properties of the lattices, though IJf is not an isomorphism. As a consequence we give an exp...

h?r?m? is a g?r?n? dialect and subset of g?r?n?-z?z? linguistic branch and is considered as one of northwest iranian dialects. h?r?m? is a preserved dialect and have preserved the archaic phonetic and inflective characteristics, so etymological study of this dialect leads to considerable points in more accurate identification of iranian languages. in this article, etymological study of some ver...

And therefore, z λ < λ < λz and rz = λz/λ>1 and r z = z λ /λ <1. In this paper, we attempt to improve on the upper level set (ULS) scan system by improving the nodal quality and quantity of the upper level set tree, using PULSE, the progressive upper level set scan system. Here we generalize the ULS notion of the rank of a cell, while the original ULS algorithm ranked cells only by a single res...

And therefore, z λ < λ < λz and rz = λz/λ>1 and r z = z λ /λ <1. In this paper, we attempt to improve on the upper level set (ULS) scan system by improving the nodal quality and quantity of the upper level set tree, using PULSE, the progressive upper level set scan system. Here we generalize the ULS notion of the rank of a cell, while the original ULS algorithm ranked cells only by a single res...