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Properties of the polynomials associated with the Jacobi polynomials

Properties of the polynomials associated with the Jacobi polynomials

Power forms and Jacobi polynomial forms are found for the polynomials <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper W Subscript n Superscript left-parenthesis alpha comma beta right-parenthesis"> <mml:semantics> <mml:msubsup> <mml:mi>W</mml:mi> <mml:mi>n</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mo stretchy="false">(</mml:mo> <mml:mi>α<!-- α --></mml:mi> <mml:mo>,</mml:mo> <mml:mi>β<!-- β --></mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> </mml:msubsup> <mml:annotation encoding="application/x-tex">W_n^{(\alpha ,\beta )}</mml:annotation> </mml:semantics> </mml:math> …