User:Michael assis

Testing:
 * $$\displaystyle{} (c-a){}_2F_1(a-1,b;c;z)+(2a-c-az+bz){}_2F_1(a,b;c;z)+a(z-1){}_2F_1(a+1,b;c;z)=0 $$


 * $$\displaystyle{} (c-b){}_2F_1(a,b-1;c;z)+(2b-c-bz+az){}_2F_1(a,b;c;z)+b(z-1){}_2F_1(a,b+1;c;z)=0 $$


 * $$\displaystyle{} c(c-1)(z-1){}_2F_1(a,b;c-1;z)+c[c-1-(2c-a-b-1)z]{}_2F_1(a,b;c;z)+(c-a)(c-b)z{}_2F_1(a,b;c+1;z)=0 $$


 * $$\displaystyle{} [c-2a-(b-a)z]{}_2F_1(a,b;c;z)+a(1-z){}_2F_1(a+1,b;c;z)-(c-a){}_2F_1(a-1,b;c;z)=0 $$


 * $$\displaystyle{} (b-a){}_2F_1(a,b;c;z)+a{}_2F_1(a+1,b;c;z)-b{}_2F_1(a,b+1;c;z)=0 $$


 * $$\displaystyle{} (c-a-b){}_2F_1(a,b;c;z)+a(1-z){}_2F_1(a+1,b;c;z)-(c-b){}_2F_1(a,b-1;c;z)=0 $$


 * $$\displaystyle{} c[a-(c-b)z]{}_2F_1(a,b;c;z)-ac(1-z){}_2F_1(a+1,b;c;z)+(c-a)(c-b)z{}_2F_1(a,b;c+1;z)=0 $$


 * $$\displaystyle{} (c-a-1){}_2F_1(a,b;c;z)+a{}_2F_1(a+1,b;c;z)-(c-1){}_2F_1(a,b;c-1;z)=0 $$


 * $$\displaystyle{} (c-a-b){}_2F_1(a,b;c;z)-(c-a){}_2F_1(a-1,b;c;z)+b(1-z){}_2F_1(a,b+1;c;z)=0 $$


 * $$\displaystyle{} (b-a)(1-z){}_2F_1(a,b;c;z)-(c-a){}_2F_1(a-1,b;c;z)+(c-b){}_2F_1(a,b-1;c;z)=0 $$


 * $$\displaystyle{} c(1-z){}_2F_1(a,b;c;z)-c{}_2F_1(a-1,b;c;z)+(c-b)z{}_2F_1(a,b;c+1;z)=0 $$


 * $$\displaystyle{} [a-1-(c-b-1)z]{}_2F_1(a,b;c;z)+(c-a){}_2F_1(a-1,b;c;z)-(c-1)(1-z){}_2F_1(a,b;c-1;z)=0 $$


 * $$\displaystyle{} [c-2b+(b-a)z]{}_2F_1(a,b;c;z)+b(1-z){}_2F_1(a,b+1;c;z)-(c-b){}_2F_1(a,b-1;c;z)=0 $$


 * $$\displaystyle{} c[b-(c-a)z]{}_2F_1(a,b;c;z)-bc(1-z){}_2F_1(a,b+1;c;z)+(c-a)(c-b)z{}_2F_1(a,b;c+1;z)=0 $$


 * $$\displaystyle{} (c-b-1){}_2F_1(a,b;c;z)+b{}_2F_1(a,b+1;c;z)-(c-1){}_2F_1(a,b;c-1;z)=0 $$


 * $$\displaystyle{} c(1-z){}_2F_1(a,b;c;z)-c{}_2F_1(a,b-1;c;z)+(c-a)z{}_2F_1(a,b;c+1;z)=0 $$


 * $$\displaystyle{} [b-1-(c-a-1)z]{}_2F_1(a,b;c;z)+(c-b){}_2F_1(a,b-1;c;z)-(c-1)(1-z){}_2F_1(a,b;c-1;z)=0 $$


 * $$\displaystyle{} c[c-1-(2c-a-b-1)z]{}_2F_1(a,b;c;z)+(c-a)(c-b)z{}_2F_1(a,b;c+1;z)-c(c-1)(1-z){}_2F_1(a,b;c-1;z)=0 $$


 * $$\displaystyle{}[c-2a-(b-a)z]F+a(1-z)F^{a+}-(c-a)F^{a-} = 0 $$


 * $$\displaystyle{}(b-a)F+aF^{a+}-bF^{b+} = 0 $$


 * $$\displaystyle{}(c-a-b)F+a(1-z)F^{a+}-(c-b)F^{b-} = 0 $$


 * $$\displaystyle{}c[a-(c-b)z]F-ac(1-z)F^{a+}+(c-a)(c-b)zF^{c+} = 0 $$


 * $$\displaystyle{}(c-a-1)F+aF^{a+}-(c-1)F^{c-} = 0 $$


 * $$\displaystyle{}(c-a-b)F-(c-a)F^{a-}+b(1-z)F^{b+} = 0 $$


 * $$\displaystyle{}(b-a)(1-z)F-(c-a)F^{a-}+(c-b)F^{b-} = 0 $$


 * $$\displaystyle{}c(1-z)F-cF^{a-}+(c-b)zF^{c+} = 0 $$


 * $$\displaystyle{}[a-1-(c-b-1)z]F+(c-a)F^{a-}-(c-1)(1-z)F^{c-} = 0 $$


 * $$\displaystyle{}[c-2b+(b-a)z]F+b(1-z)F^{b+}-(c-b)F^{b-} = 0 $$


 * $$\displaystyle{}c[b-(c-a)z]F-bc(1-z)F^{b+}+(c-a)(c-b)zF^{c+} = 0 $$


 * $$\displaystyle{}(c-b-1)F+bF^{b+}-(c-1)F^{c-} = 0 $$


 * $$\displaystyle{}c(1-z)F-cF^{b-}+(c-a)zF^{c+} = 0 $$


 * $$\displaystyle{}[b-1-(c-a-1)z]F+(c-b)F^{b-}-(c-1)(1-z)F^{c-} = 0 $$


 * $$\displaystyle{}c[c-1-(2c-a-b-1)z]F+(c-a)(c-b)zF^{c+}-c(c-1)(1-z)F^{c-} = 0 $$