The form of the present invariant [I.sub.h](z) given in (12) suggests taking the class of functions defined by (it should be pointed out that present choice is different from previous one [7, 9], in which the [mathematical expression not reproducible] is chosen in order to adapt the mathematical character of the Heun
All these functions contain general Heun
functions that fail to simplify to an explicit algebraic structure when particular values of parameters are specified, but they might be converted approximately to polynomials through formation of Taylor series.
: First, deal with the problem before you deal with the blame.
The inoculum was maintained through the year on Saluda plants in the greenhouse and under laboratory conditions on detached leaves according to the method of Leath and Heun
When comparing this with the confluent Heun
differential equation in the simplest uniform form 
As a further complication, confluent Heun
functions in ellipsoidal coordinates [xi] and [eta] have also an intrinsically complex nature .
is constructed via reduction to the general Heun
These two solutions have parallel forms, both containing confluent Heun
special functions , HeunC, with the same arguments, although the domains of the variables differ, as specified above.
GENETIC LINKAGE MAPS have been developed in various barley crosses (e.g., Heun
et al., 1991; Graner et al., 1991; Kleinhofs et al., 1993) and used to detect and map quantitative trait loci (QTLs) contributing to various traits, including grain and malt quality (e.g., Hayes et al., 1993; Thomas et al., 1995; Mather et al., 1997; Marquez-Cedillo et al., 2000; Ayoub et al., 2002).
The general Heun
equation [1-3], which is the most general second-order linear ordinary differential equation having four regular singular points, is currently widely encountered in physics and mathematics research (see, e.g., [1-14] and references therein).
Recently it is found that the solutions of the hyperbolic type potentials [14-21] are given explicitly by the confluent Heun
Sell-outs at the 750-seat foodcourt include dishes such as Malacca chicken rice balls and Heun
Kee Claypot Chicken Rice.