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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/05.06.21.0005.01









  


  










Input Form





Integrate[(1 - t)^a (1 + t)^b JacobiP[m, a, b, t] JacobiP[n, a, b, t], {t, -1, 1}] == ((2^(a + b + 1) Gamma[a + n + 1] Gamma[b + n + 1])/ (n! (a + b + 2 n + 1) Gamma[a + b + n + 1])) KroneckerDelta[m, n] /; 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)





2001-10-29





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