The FLFs are a particular solution of the normalized eigenfunctions of the singular Sturm-Liouville problem
Integration Operational Matrix of FLFs. The main objective of this section is to generalize the operational matrix of integration for FLFs.
The FLFs Riemann-Liouville fractional integration of [gamma] > 0 can be obtained in the form of
The FLFS makes it possible to identify employees on STWA.
The primary reason for using the FLFS is the rich information that it provides on employees in the private sector who report that they are on STWA.
Men are 9 overrepresented in the group of employees who report being on STWA in the FLFS. Between the fourth quarter of 2008 and the second quarter of 2010, 75% of employees on STWA were men versus 54% of the individuals in the overall sample (see Table 5).
What brings FLFs to Indian shores and keeps them there are the rising cross-border transactions that India Inc.
Most of the lawyers in India are litigation lawyers, i.e., lawyers who appear in court, whereas FLFs seek an advisory or non-litigious work related to commercial transactions, an underserved area in India.
The case could go to the Supreme Court, but since the matter has been referred back to the Union government, the best bet of the FLFs would be to avoid legal recourse and stick to lobbying.
The FLFs are orthogonal with the weight function [[omega].sup.[alpha].sub.l](x) = [x.sup.[alpha]-1] on the interval [0, 1]; then the orthogonally condition is
If the function u(x, t) is a continuous function on [0,1] x [0,1] and the series [[infinity].summation over (i=0)] [[infinity].summation over (j=0)] [u.sub.ij] [Fl.sup.a.sub.i](x) [Fl.sup.[beta].sub.j](t) converges uniformly to u(x, t), then [[infinity].summation over (i=0)] [[infinity].summation over (j=0)] [u.sub.ij] [Fl.sup.a.sub.i](x) [Fl.sup.[beta].sub.j](t) is the FLFs expansion of u(x, t).
If two continuous functions defined on [0, 1] x [0, 1] have the identical FLFs expansions, then these two functions are identical.