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Orthogonal-type polynomials and Pell equations

✍ Scribed by Griffin, James C.; Gunatillake, Gajath

Book ID
121327724
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
144 KB
Volume
24
Category
Article
ISSN
1065-2469

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📜 SIMILAR VOLUMES

The polynomial Pell equation
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✍ Dubickas, Art?ras (author);Steuding, J�rn (author) 📂 Article 📅 2004 🏛 Research Institute for Mathematical Sciences, Kyot ⚖ 276 KB
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✍ Dubickas, Art?ras (author);Steuding, J�rn (author) 📂 Article 📅 2004 🏛 Research Institute for Mathematical Sciences, Kyot ⚖ 276 KB
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✍ W.A. Webb; H. Yokota 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 248 KB

The polynomial Pell's equation is X 2 À DY 2 ¼ 1; where D is a polynomial with integer coefficients and the solutions X ; Y must be polynomials with integer coefficients. Let D ¼ A 2 þ 2C be a polynomial in Z½x; where deg Codeg A: Then for pB ¼ pA=CAZ½x; p a prime, a necessary and sufficient conditi

Integral equations and potential-theoret
Integral equations and potential-theoretic type integrals of orthogonal polynomials
✍ M.H. Fahmy; M.A. Abdou; M.A. Darwish 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 445 KB

Abel's theorem is used to solve the Fredholm integral equations of the first kind with Gauss's hypergeometric kernel. The case that the kernel takes general form is discussed in detail and the solution is given. Here, the works of some authors are considered as special cases. The discussion focuses