User contributions
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- 21:32, 17 June 2017 (diff | hist) . . (+279) . . Q-shifted factorial
- 21:27, 17 June 2017 (diff | hist) . . (-253) . . Basic hypergeometric phi
- 20:31, 17 June 2017 (diff | hist) . . (+81) . . Hypergeometric 2F3 (current)
- 20:31, 17 June 2017 (diff | hist) . . (+81) . . Hypergeometric 1F1 (current)
- 20:30, 17 June 2017 (diff | hist) . . (+63) . . Hypergeometric 1F1
- 20:30, 17 June 2017 (diff | hist) . . (+373) . . N Hypergeometric 2F3 (Created page with "The hypergeometric series ${}_2F_3$ is defined by the series $${}_2F_3(a_1,a_2;b_1,b_2,b_3;z) = \displaystyle\sum_{k=0}^{\infty} \dfrac{(a_1)_k(a_2)_k}{(b_1)_k(b_2)_k(b_3)_k}...")
- 20:28, 17 June 2017 (diff | hist) . . (+29) . . Main Page (→Hypergeometric series)
- 20:27, 17 June 2017 (diff | hist) . . (+72) . . Hypergeometric 4F1 (current)
- 20:27, 17 June 2017 (diff | hist) . . (+72) . . Hypergeometric 2F0 (current)
- 20:27, 17 June 2017 (diff | hist) . . (+29) . . Main Page (→Hypergeometric series)
- 20:27, 17 June 2017 (diff | hist) . . (+38) . . Hypergeometric 4F1
- 20:26, 17 June 2017 (diff | hist) . . (+302) . . N Hypergeometric 4F1 (Created page with "The hypergeometric ${}_4F_1$ function is defined by the series $${}_4F_1(a_1,a_2,a_3,a_4;b_1;z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{(a_1)_k(a_2)_k(a_3)_k(a_4)_k}{(b_1)_k}...")
- 20:24, 17 June 2017 (diff | hist) . . (+29) . . Main Page (→Hypergeometric series)
- 20:24, 17 June 2017 (diff | hist) . . (+38) . . Hypergeometric 0F3 (current)
- 20:24, 17 June 2017 (diff | hist) . . (+332) . . N Hypergeometric 0F3 (Created page with "The hypergeometric ${}_0F_3$ function is defined by the series $${}_0F_3(;b_1,b_2,b_3;z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{1}{(b_1)_k(b_2)_k(b_3)_k} \dfrac{z^k}{k!},$$ w...")
- 20:22, 17 June 2017 (diff | hist) . . (+56) . . Hypergeometric 0F1 (→Properties) (current)
- 20:21, 17 June 2017 (diff | hist) . . (+68) . . Hypergeometric 2F1
- 20:21, 17 June 2017 (diff | hist) . . (+68) . . Hypergeometric 0F1
- 20:21, 17 June 2017 (diff | hist) . . (+1) . . Hypergeometric 3F2 (→Properties) (current)
- 20:21, 17 June 2017 (diff | hist) . . (+7) . . Hypergeometric 2F1
- 20:20, 17 June 2017 (diff | hist) . . (+414) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I (→Contents)
- 20:18, 17 June 2017 (diff | hist) . . (+551) . . N 1F1(a;2a;z)1F1(b;2b;-z)=2F3(a/2+b/2,a/2+b/2+1/2;a+1/2,b+1/2,a+b;z^2/4) (Created page with "==Theorem== The following formula holds: $${}_1F_1(a;2a;z){}_1F_1(b;2b;-z)={}_2F_3 \left( \dfrac{a}{2} + \dfrac{b}{2}, \dfrac{a}{2} + \dfrac{b}{2} + \dfrac{1}{2}; a+\dfrac{1}{...")
- 20:12, 17 June 2017 (diff | hist) . . (+70) . . 1F1(a;r;z)1F1(a;r;-z)=2F3(a,r-a;r,r/2,r/2+1/2;z^2/4)
- 20:10, 17 June 2017 (diff | hist) . . (+492) . . N 1F1(a;r;z)1F1(a;r;-z)=2F3(a,r-a;r,r/2,r/2+1/2;z^2/4) (Created page with "==Theorem== The following formula holds: $${}_1F_1(a;r;z){}_1F_1(a;r;-z)={}_2F_3\left(a, r-a; r, \dfrac{r}{2}, \dfrac{r}{2}+\dfrac{1}{2}; \dfrac{z^2}{4} \right),$$ where ${}_1...")
- 20:08, 17 June 2017 (diff | hist) . . (-166) . . 2F0(a,b;;z)2F0(a,b;;-z)=4F1(a,b,a/2+b/2,a/2+b/2+1/2;a+b;4z^2)
- 20:08, 17 June 2017 (diff | hist) . . (+212) . . 2F0(a,b;;z)2F0(a,b;;-z)=4F1(a,b,a/2+b/2,a/2+b/2+1/2;a+b;4z^2)
- 20:07, 17 June 2017 (diff | hist) . . (+506) . . N 2F0(a,b;;z)2F0(a,b;;-z)=4F1(a,b,a/2+b/2,a/2+b/2+1/2;a+b;4z^2) (Created page with "==Theorem== The following formula holds: $${}_2F_0(a,b;;z){}_2F_0(a,b;;-z)={}_4F_1 \left(a, b, \dfrac{a}{2} + \dfrac{b}{2}, \dfrac{a}{2} + \dfrac{b}{2} + \dfrac{1}{2}; a+b; 4z...")
- 20:05, 17 June 2017 (diff | hist) . . (+55) . . 0F1(;r;z)0F1(;r;-z)=0F3(r,r/2,r/2+1/2;-z^2/4)
- 20:04, 17 June 2017 (diff | hist) . . (+489) . . N 0F1(;r;z)0F1(;r;-z)=0F3(r,r/2,r/2+1/2;-z^2/4) (Created page with "==Theorem== The following formula holds: $${}_0F_1(;r;z){}_0F_1(;r;-z)={}_0F_3\left( ;r, \dfrac{r}{2}, \dfrac{r}{2} + \dfrac{1}{2}; - \dfrac{z^2}{4} \right),$$ where ${}_0F_1$...")
- 20:00, 17 June 2017 (diff | hist) . . (+39) . . 0F1(;r;z)0F1(;s;z)=2F1(r/2+s/2, r/2+s/2-1/2;r,s,r+s-1;4z)
- 19:58, 17 June 2017 (diff | hist) . . (+501) . . N 0F1(;r;z)0F1(;s;z)=2F1(r/2+s/2, r/2+s/2-1/2;r,s,r+s-1;4z) (Created page with "==Theorem== The following formula holds: $${}_0F_1(;r;z){}_0F_1(;s;z)={}_2F_1 \left( \dfrac{r}{2} + \dfrac{s}{2}, \dfrac{r}{2}+\dfrac{s}{2}-\dfrac{1}{2};r,s,r+s-1;4z \right),$...")
- 19:58, 17 June 2017 (diff | hist) . . (+57) . . 2F1(a,b;a+b+1/2;z)^2=3F2(2a,a+b,2b;a+b+1/2,2a+2b;z)
- 19:33, 17 June 2017 (diff | hist) . . (+29) . . 2F1(a,b;a+b+1/2;z)^2=3F2(2a,a+b,2b;a+b+1/2,2a+2b;z)
- 19:26, 17 June 2017 (diff | hist) . . (+59) . . 2F1(a,b;a+b+1/2;z)^2=3F2(2a,a+b,2b;a+b+1/2,2a+2b;z)
- 19:25, 17 June 2017 (diff | hist) . . (+432) . . N 2F1(a,b;a+b+1/2;z)^2=3F2(2a,a+b,2b;a+b+1/2,2a+2b;z) (Created page with "==Theorem== The following formula holds: $${}_2F_1 \left( a,b;a+b +\dfrac{1}{2}; z \right)^2 = {}_3F_2 \left( 2a, a+b, 2b;a+b+\dfrac{1}{2}, 2a+2b;z \right),$$ where ${}_2F_1$...")
- 19:22, 17 June 2017 (diff | hist) . . (+29) . . Main Page (→Hypergeometric series)
- 19:21, 17 June 2017 (diff | hist) . . (+400) . . N Hypergeometric 3F2 (Created page with "The hypergeometric function ${}_3F_2$ is defined by $${}_3F_2(a_1,a_2,a_3; b_1,b_2; z) = \displaystyle\sum_{k=0}^{\infty} \dfrac{(a_1)_k(a_2)_k(a_3)_k}{(b_1)_k(b_2)_k(b_3)_k}...")
- 19:17, 17 June 2017 (diff | hist) . . (+55) . . Hypergeometric 2F1
- 19:15, 17 June 2017 (diff | hist) . . (0) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I
- 19:14, 17 June 2017 (diff | hist) . . (+89) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I (→Contents)
- 19:14, 17 June 2017 (diff | hist) . . (+120) . . Pochhammer symbol with non-negative integer subscript
- 19:11, 17 June 2017 (diff | hist) . . (+175) . . Pochhammer
- 19:11, 17 June 2017 (diff | hist) . . (+5) . . Hypergeometric pFq
- 19:10, 17 June 2017 (diff | hist) . . (+49) . . Pochhammer symbol with non-negative integer subscript
- 19:10, 17 June 2017 (diff | hist) . . (+232) . . N Pochhammer symbol with non-negative integer subscript (Created page with "==Theorem== The following formula holds: $$(a)_n = \left\{ \begin{array}{ll} 1, & \quad n=0 \\ a(a+1)\ldots(a+n-1), & \quad n=1,2,3,\ldots. \end{array} \right.$$ ==Proof== =...")
- 19:09, 17 June 2017 (diff | hist) . . (-52) . . Pochhammer (→Properties)
- 19:09, 17 June 2017 (diff | hist) . . (-19) . . Pochhammer (a+n)})
- 19:07, 17 June 2017 (diff | hist) . . (+26) . . Pochhammer
- 19:05, 17 June 2017 (diff | hist) . . (+52) . . Pochhammer
- 19:04, 17 June 2017 (diff | hist) . . (-23) . . Pochhammer
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