In this study we, give some new explicit expressions and recurrence relations satisfied by marginal and joint moment generating functions of k−th upper record values from extended type II generalized logistic distribution. Next we show that results for upper record values of this distribution can be derived from our result as special cases. Further, a characterizing result of this distribution ...

In this paper, we study a class of second order difference equations with three paremeters. With positive initial values, the asymptotic behavior of positive solutions are investigated.

The asymptotic behavior of the solutions to a neutral difference equation of the form

Consider the sequence of polesA = {α1, α2, . . .}, and suppose the rational functions φj with poles in A form an orthonormal system with respect to a Hermitian positive-definite inner product. Further, assume the φj satisfy a three-term recurrence relation. Let the rational function φ j\1 with poles in {α2, α3, . . .} represent the associated rational function of φj of order 1; i.e. the φ (1) j...

An (infinite) sequence is a function from the set IN = {0, 1, 2, . . .} of natural numbers to some set S. If a : IN → S is a sequence, we often denote a(n) by an. The values a0, a1, a2, . . . are called the elements or terms of the sequence. A recurrence relation is a way of defining a sequence. A few of the first elements of the sequence are given explicitly. Then, the recurrence relation give...