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Create the page "(b-a)(1-z)2F1-(c-a)2F1(a-1)+(c-b)2F1(b-1)=0" on this wiki! See also the search results found.

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• (c-2a-(b-a)z)2F1+a(1-z)2F1(a+1)-(c-a)2F1(a-1)=0
  $$(c-2a-(b-a)z){}_2F_1(a,b;c;z)+a(1-z){}_2F_1(a+1,b;c;z)-(c-a){}_2F_1(a-1,b;c;z),$$ where ${}_2F_1$ denotes the [[hypergeometric 2F1]].
  472 bytes (71 words) - 23:23, 3 March 2018
• (c-a-b)2F1+a(1-z)2F1(a+1)-(c-b)2F1(b-1)=0
  $$(c-a-b){}_2F_1(a,b;c;z)+a(1-z){}_2F_1(a+1,b;c;z)-(c-b){}_2F_1(a,b-1;c;z)=0,$$ where ${}_2F_1$ denotes [[hypergeometric 2F1]].
  511 bytes (80 words) - 23:24, 3 March 2018
• C(a-(c-b)z)2F1-ac(1-z)2F1(a+1)+(c-a)(c-b)z2F1(c+1)=0
  ...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,$$ where ${}_2F_1$ denotes [[hypergeometric 2F1]].
  516 bytes (81 words) - 23:24, 3 March 2018
• (c-a-b)2F1-(c-a)2F1(a-1)+b(1-z)2F1(b+1)=0
  $$(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,$$ where ${}_2F_1$ denotes [[hypergeometric 2F1]].
  464 bytes (67 words) - 23:24, 3 March 2018

Page text matches

• Book:Milton Abramowitz/Handbook of mathematical functions
  ...ons with formulas, graphs, and mathematical tables|1964|Dover Publications|0-486-61272-4|Milton Abramowitz|author2 = Irene A. Stegun}} :::[[Logarithm diverges to negative infinity at 0 from right|$4.1.13$]]
  22 KB (2,666 words) - 05:08, 21 December 2017
• Book:Arthur Erdélyi/Higher Transcendental Functions Volume I
  {{Book|Higher Transcendental Functions, Volume I|1953|Dover Publications|0-486-44614-X|Arthur Erdélyi|author2=Wilhelm Magnus|author3=Fritz Oberhettin ...(and [[Gamma(z) as integral of a power of log(1/t) for Re(z) greater than 0|$(1)$]])
  10 KB (1,331 words) - 06:07, 4 March 2018
• Hypergeometric 2F1
  $${}_2F_1(a,b;c;z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{(a)_k (b)_k}{(c)_k} \dfrac{z^k}{k!},$$ where $(a)_k$ denotes the [[Pochhammer]] symbol and $c \neq 0, -1, -2, \ldots$. It is a special case of the [[hypergeometric pFq]] functi
  3 KB (501 words) - 23:23, 3 March 2018
• (c-2a-(b-a)z)2F1+a(1-z)2F1(a+1)-(c-a)2F1(a-1)=0
  $$(c-2a-(b-a)z){}_2F_1(a,b;c;z)+a(1-z){}_2F_1(a+1,b;c;z)-(c-a){}_2F_1(a-1,b;c;z),$$ where ${}_2F_1$ denotes the [[hypergeometric 2F1]].
  472 bytes (71 words) - 23:23, 3 March 2018
• (b-a)2F1+a2F1(a+1)-b2F1(b+1)=0
  $$(b-a){}_2F_1(a,b;c;z)+a{}_2F_1(a+1,b;c;z)-b{}_2F_1(a,b+1;c;z)=0,$$ where ${}_2F_1$ denotes [[hypergeometric 2F1]].
  505 bytes (79 words) - 23:23, 3 March 2018
• (c-a-b)2F1+a(1-z)2F1(a+1)-(c-b)2F1(b-1)=0
  $$(c-a-b){}_2F_1(a,b;c;z)+a(1-z){}_2F_1(a+1,b;c;z)-(c-b){}_2F_1(a,b-1;c;z)=0,$$ where ${}_2F_1$ denotes [[hypergeometric 2F1]].
  511 bytes (80 words) - 23:24, 3 March 2018
• C(a-(c-b)z)2F1-ac(1-z)2F1(a+1)+(c-a)(c-b)z2F1(c+1)=0
  ...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,$$ where ${}_2F_1$ denotes [[hypergeometric 2F1]].
  516 bytes (81 words) - 23:24, 3 March 2018
• (c-a-1)2F1+a2F1(a+1)-(c-1)2F1(c-1)=0
  $$(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,$$ where ${}_2F_1$ denotes [[hypergeometric 2F1]].
  517 bytes (81 words) - 23:24, 3 March 2018
• (c-a-b)2F1-(c-a)2F1(a-1)+b(1-z)2F1(b+1)=0
  $$(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,$$ where ${}_2F_1$ denotes [[hypergeometric 2F1]].
  464 bytes (67 words) - 23:24, 3 March 2018