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Integral Representations for Jacobi Polynomials and Some Applications

机译：Jacobi多项式的积分表示及其应用

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摘要

A systematic treatment of integrals connecting Jacobi polynomials is given and one new one is obtained. Applications are given of these integrals to certain sums of Jacobi and ultraspherical polynomials.

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作者
Askey, R.; Fitch, J.;
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年度 1968
页码 p.1-38
总页数 38
原文格式 PDF
正文语种 eng
中图分类
关键词
Polynomials ; Integrals ; Hypergeometric functions ; Series ; Problem solving ; Theorems;

机译：多项式;积分;超几何函数;系列;问题解决;定理;

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1. Integral Representations of Functional Series with Members Containing Jacobi Polynomials [J] . Dragana Jankov, Tibor K. Pogány Mathematica Balkanica . 2012,第1a2期

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2. Application of Jacobi polynomials to approximate solution of a singular integral equation with Cauchy kernel [J] . Karczmarek P, Pylak D, Sheshko MA Applied mathematics and computation . 2006,第1期

机译：Jacobi多项式在具有柯西核的奇异积分方程的近似解中的应用
3. Integral representations of several (p,q)-Bernstein polynomials and their applications [J] . Journal of Mathematical and Computational Science . 2017,第3期

机译：（p，q）-Bernstein多项式的积分表示及其应用
4. A Novel Set of Moment Invariants for Pattern Recognition Applications Based on Jacobi Polynomials [C] . Rafael Augusto Rocha Angulo, Juan Martin Carpio, Alfonso Rojas-Domfnguez, Mexican Conference on Pattern Recognition . 2020

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5. JACOBI MOMENTS IN APPLIED MATHEMATICS WITH COMPUTER APPLICATIONS (ORTHOGONAL-POLYNOMIALS, RECURRENCE). [D] . KAPENGA, JOHN A. 1986

机译：计算机应用中应用数学中的雅各比矩（正交多项式，递归）。
6. Representation of ... formula ...-Bernstein polynomials in terms of ... formula ...-Jacobi polynomials [O] . F Soleyman, I Area, M Masjed-Jamei, -1

机译：... ... ...-Bernstein多项式的表示形式... ... ... -Jacobi多项式
7. Integral representations for Jacobi polynomials and some applications [O] . Askey Richard, Fitch James 1969

机译：Jacobi多项式的积分表示和一些应用
8. Jacobi Polynomials, I: New Proofs of Koornwinder's Laplace Type Integral Representation and Bateman's Bilinear Sum [R] . Askey, R. 1972

机译：雅可比多项式，I：Koornwinder的拉普拉斯型积分表示的新证明和Bateman的双线性和

Integral Representations for Jacobi Polynomials and Some Applications

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