A study of two variables Legendre polynomials
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2010
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Pontificia Universidad Católica del Perú
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The present paper deals with a study of a two variable polynomial Pn(x) analogues to the Legendre polynomial Pn(x). The paper contains differential recurrence relations, a partial differential equation, double generating functions, double and triple hypergeometric forms, a special property and a bilinear double generating function for the newly defined polynomials Pn,k(x, y).
The present paper deals with a study of a two variable polynomial Pn(x) analogues to the Legendre polynomial Pn(x). The paper contains differential recurrence relations, a partial differential equation, double generating functions, double and triple hypergeometric forms, a special property and a bilinear double generating function for the newly defined polynomials Pn,k(x, y).
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Two Variables Legendre Polynomials, Integral Representations, Generating Functions, Recurrence Relations
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