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

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