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Abstract There is the paper by H. Tietze published in 1905 on differential transcendence of solutions of difference Riccati equations. In this paper, we clarify the essence of Tietze's treatment and make it purely algebraic. As an application, the q -Airy equation is studied. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a way to approximate meromorphic functions belonging to Poincaré's ‘new’ class by rational functions. The class consists of meromorphic functions having a ‘théorèm de multiplication’ with a suitable condition, which is a system of difference equations on the transform sendingto, where. Since graphing rational functions is somewhat easy, we are able to know rough graphs of those ‘new’ functions by our result. Our method uses repeated substitutions of the difference equations. [ABSTRACT FROM AUTHOR]

The aim of this paper is to note that properties of being elementary in differential and difference senses are different as a whole. In this paper, we introduce the notion of finitelyn-reducible difference field extensions and study the irreducibility of algebraic difference equations of order 1. As a result, we find that the exponential functionand the Weierstrass functioncannot be built up by using the variablezand constants, together with repeated algebraic operations and the taking of solutions of linear difference equations on the multiplicationand solutions of such algebraic difference equations as difference Riccati equations on. [ABSTRACT FROM PUBLISHER]

In this paper we will study the irreducibility of q- , q-Painlevé equation of type , in the sense of order using the notion of decomposable extensions. q- is one of the special non-linear q-difference equations of order 2 with symmetry and is also called q- . [ABSTRACT FROM AUTHOR]

Analyzes the switched multibeam antenna system in mobile communications. PIBS derivation for a simple switched two-beam antenna system; Investigation of the impact of the incorrect beam selection on overall average signal-to-noise (SNR) and signal-to-interference (SIR) power ratio; Power and interference limited environment.