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An investigation of biorthogonal polynomials

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Author(s): Winchung Alvin Chai
Series: PhD thesis at Polytechnic Institute of Brooklyn
Year: 1968

Language: English

1* Introduction ..... . ............. . ............... 1
2. General Theorey. ...... . .......... . ......... . . 5
3. On the Mean Convergence of Biorthogonal
Expansi o h s 15
4. An Extension of the Generalized Hypergeometric
Functions ........................................ 25
5. Biorthogonal Polynomials Suggested by Jacobi
Po lynomi als ..................................... 27
6. Biorthogonal Polynomials Suggested by Laguerre
Polynomials • ................................... 35
7. Biorthogonal Polynomials Suggested by Hermite
Polynomials. .................................... 39
8. Biorthogonal Polynomials Suggested by Bessel
Polynomials ..... 43
9. On the Zeros of Biorthogonal Polynomials...... 49
10. On the Derivatives of Biorthogonal Polynomials 58
11. Conclusion. .......... 65
Bibliography ........................ 67