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variants of this functions
JacobiP






Mathematica Notation

Traditional Notation









Hypergeometric Functions > JacobiP[nu,a,b,z] > Series representations > Generalized power series > Expansions at z==-1





http://functions.wolfram.com/07.15.06.0013.01









  


  










Input Form





JacobiP[\[Nu], a, b, z] == (Gamma[-b]/(Gamma[\[Nu] + 1] Gamma[-b - \[Nu]])) (1 - ((\[Nu] (1 + a + b + \[Nu]))/(2 (1 + b))) (z + 1) - (((1 - \[Nu]) \[Nu] (1 + a + b + \[Nu]) (2 + a + b + \[Nu]))/ (8 (1 + b) (2 + b))) (z + 1)^2 - \[Ellipsis]) - (((Sin[\[Nu] Pi] Gamma[b] Gamma[a + \[Nu] + 1])/ (Pi Gamma[a + b + \[Nu] + 1])) (1 + (((-b - \[Nu]) (1 + a + \[Nu]))/(2 (1 - b))) (z + 1) + (((-b - \[Nu]) (1 - b - \[Nu]) (1 + a + \[Nu]) (2 + a + \[Nu]))/ (8 (1 - b) (2 - b))) (z + 1)^2 + \[Ellipsis]))/((z + 1)/2)^b /; Abs[(z + 1)/2] && !Element[b, Integers]










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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