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variants of this functions
JacobiP




Mathematica Notation

Traditional Notation









Polynomials > JacobiP[n,a,b,z] > Integration > Definite integration > Involving the direct function





http://functions.wolfram.com/05.06.21.0007.01









  


  








Input Form





Integrate[(1 - t)^a (1 + t)^b E^(\[Beta] (1 + t)) JacobiP[n, a, b, t], {t, -1, 1}] == 2^(a + b + n + 1) \[Beta]^n ((Gamma[a + 1] Gamma[b + n + 1])/Gamma[a + b + 2 n + 2]) JacobiP[n, a, b, 1] Hypergeometric1F1[b + n + 1, a + b + 2 n + 2, 2 \[Beta]] /; Re[a] > -1 && Re[b] > -1








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-03-07