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variants of this functions
JacobiP




Mathematica Notation

Traditional Notation









Polynomials > JacobiP[n,a,b,z] > Identities > Functional identities > Relations between contiguous functions > Normalized recurrence relation





http://functions.wolfram.com/05.06.17.0007.01









  


  








Input Form





z p[n, z] == p[n + 1, z] + ((b^2 - a^2)/((a + b + 2 n) (a + b + 2 n + 2))) p[n, z] + ((4 n (a + n) (b + n) (a + b + n))/((a + b + 2 n - 1) (a + b + 2 n)^2 (a + b + 2 n + 1))) p[n - 1, z] /; p[n, z] == ((2^n Gamma[n + 1])/Pochhammer[a + b + n + 1, n]) JacobiP[n, a, b, z]








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