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1. (b-a)2F1+a2F1(a+1)-b2F1(b+1)=0
2. (c-2a-(b-a)z)2F1+a(1-z)2F1(a+1)-(c-a)2F1(a-1)=0
3. (c-a-1)2F1+a2F1(a+1)-(c-1)2F1(c-1)=0
4. (c-a-b)2F1+a(1-z)2F1(a+1)-(c-b)2F1(b-1)=0
5. (c-a-b)2F1-(c-a)2F1(a-1)+b(1-z)2F1(b+1)=0
6. (n+1)L (n+1)(x) = (2n+1-x)L n(x)-nL (n-1)(x)
7. (n+2)C (n+2)^(lambda)(x)=2(lambda+n+1)xC (n+1)^(lambda)(x)-(2lambda+n)C n^(lambda)(x)
8. (n+2lambda)C n^(lambda)(x)=2lambda(C n^(lambda+1)(x)-xC (n-1)^(lambda+1)(x))
9. (z/(1-q))2Phi1(q,q;q^2;z)=Sum z^k/(1-q^k)
10. *-c functions footer
11. *-integral functions footer
12. -log(1-x) less than x/(1-x)
13. 0!=1
14. 0F0(;;z)=exp(z)
15. 0F1(;r;z)0F1(;r;-z)=0F3(r,r/2,r/2+1/2;-z^2/4)
16. 0F1(;r;z)0F1(;s;z)=2F1(r/2+s/2, r/2+s/2-1/2;r,s,r+s-1;4z)
17. 1+x greater than exp(x/(1+x)) for nonzero real x greater than -1
18. 1/B(n,m)=m((n+m-1) choose (n-1))
19. 1/B(n,m)=n((n+m-1) choose (m-1))
20. 1/q-number as a q-number
21. 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)
22. 1F1(a;r;z)1F1(a;r;-z)=2F3(a,r-a;r,r/2,r/2+1/2;z^2/4)
23. 1Phi0(a;;z)1Phi0(b;;az)=1Phi0(ab;;z)
24. 1Phi0(a;;z) as infinite product
25. 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)
26. 2F1(1,1;2;z)=-log(1-z)/z
27. 2F1(1/2,1/2;3/2;z^2)=arcsin(z)/z
28. 2F1(1/2,1;3/2;-z^2)=arctan(z)/z
29. 2F1(1/2,1;3/2;z^2)=log((1+z)/(1-z))/(2z)
30. 2F1(a,b;a+b+1/2;z)^2=3F2(2a,a+b,2b;a+b+1/2,2a+2b;z)
31. 2Phi1(q,-1;-q;z)=1+2Sum z^k/(1+q^k)
32. 2cos(mt)cos(nt)=cos((m+n)t)+cos((m-n)t)
33. Abel p
34. Abs(e^z-1) less than or equal to e^(abs(z))-1 less than or equal to abs(z)e^(abs(z))
35. Abs(log(1+z)) less than or equal to -log(1-abs(z))
36. Abs(log(1-x)) less than 3x/2
37. Abs(z)/4 less than abs(e^z-1) less than (7abs(z))/4 for 0 less than abs(z) less than 1
38. Absolute convergence of secant zeta function
39. Airy Ai
40. Airy Bi
41. Airy functions footer
42. Airy zeta function
43. Airy zeta function at 2
44. Alexander operator
45. Algebraic
46. Algebraic number
47. Alternating sum over bottom of binomial coefficient with top fixed equals 0
48. Anger derivative recurrence
49. Anger function
50. Anger of integer order is Bessel J
51. Anger three-term recurrence
52. Antiderivative of arccos
53. Antiderivative of arccosh
54. Antiderivative of arcsin
55. Antiderivative of arcsinh
56. Antiderivative of arctan
57. Antiderivative of arctanh
58. Antiderivative of cosine integral
59. Antiderivative of coth
60. Antiderivative of hyperbolic cosecant
61. Antiderivative of inverse error function
62. Antiderivative of sech
63. Antiderivative of sine integral
64. Antiderivative of tanh
65. Antiderivative of the logarithm
66. Antiderivative of versine
67. Apéry's constant
68. Apéry's constant is irrational
69. Arakawa-Kaneko zeta function
70. Arccos
71. Arccos as inverse cosine
72. Arccosh
73. Arccot
74. Arccoth
75. Arccsc
76. Arccsch
77. Arcsec
78. Arcsech
79. Arcsin
80. Arcsin as inverse sine
81. Arcsin cdf
82. Arcsin pdf
83. Arcsinh
84. Arctan
85. Arctanh
86. Arithmetic functions
87. Arithmetic zeta function
88. Artin-Mazur zeta function
89. Artin constant
90. Associated Laguerre L
91. Asymptotic behavior of Sievert integral
92. Asymptotic formula for partition function
93. B(x,y)=2^(1-x-y)integral (1+t)^(x-1)(1-t)^(y-1)+(1+t)^(y-1)(1-t)^(x-1) dt
94. B(x,y)=integral (t^(x-1)+t^(y-1))(1+t)^(-x-y) dt
95. B(x,y)B(x+y,z)=B(y,z)B(y+z,x)
96. B(x,y)B(x+y,z)=B(z,x)B(x+z,y)
97. B(x,y)B(x+y,z)B(x+y+z,u)=Gamma(x)Gamma(y)Gamma(z)Gamma(u)/Gamma(x+y+z+u)
98. B(x,y+1)=(y/(x+y))B(x,y)
99. B(x,y+1)=(y/x)B(x+1,y)
100. Barnes G

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