Theory and Modern Applications
\(\frac{2\alpha\sqrt{8^{\alpha}}}{8\Gamma(1-\alpha)}\) | \(\frac{2\alpha \sqrt{5^{\alpha}}}{5\Gamma(1-\alpha)}\) | \(\frac{2\alpha\sqrt{4^{\alpha}}}{4\Gamma(1-\alpha)}\) | \(\frac{2\alpha\sqrt{5^{\alpha}}}{5\Gamma(1-\alpha )}\) | \(\frac{2\alpha\sqrt{8^{\alpha}}}{8\Gamma(1-\alpha)}\) |
\(\frac{\alpha\sqrt{5^{\alpha}}}{5\Gamma(1-\alpha)}\) | \(\frac{\alpha\sqrt {2^{\alpha}}}{2\Gamma(1-\alpha)}\) | \(\frac{\alpha}{\Gamma(1-\alpha)}\) | \(\frac{\alpha\sqrt{2^{\alpha}}}{2\Gamma(1-\alpha)}\) | \(\frac{\alpha\sqrt {5^{\alpha}}}{5\Gamma(1-\alpha)}\) |
0 | 0 | 0 | 0 | 0 |
\(\frac{-\alpha\sqrt{5^{\alpha}}}{5\Gamma(1-\alpha)}\) | \(\frac{-\alpha \sqrt{2^{\alpha}}}{2\Gamma(1-\alpha)}\) | \(\frac{-\alpha}{\Gamma(1-\alpha )}\) | \(\frac{-\alpha\sqrt{2^{\alpha}}}{2\Gamma(1-\alpha)}\) | \(\frac {-\alpha\sqrt{5^{\alpha}}}{5\Gamma(1-\alpha)}\) |
\(\frac{-2\alpha\sqrt{8^{\alpha}}}{8\Gamma(1-\alpha)}\) | \(\frac{-2\alpha \sqrt{5^{\alpha}}}{5\Gamma(1-\alpha)}\) | \(\frac{-2\alpha\sqrt{4^{\alpha}}}{4\Gamma(1-\alpha)}\) | \(\frac{-2\alpha\sqrt{5^{\alpha}}}{5\Gamma (1-\alpha)}\) | \(\frac{-2\alpha\sqrt{8^{\alpha}}}{8\Gamma(1-\alpha)}\) |