Elliptic polynomials

>> Google Books

所蔵情報QRコード

Elliptic polynomials / J.S. Lomont, John Brillhart

資料種別:

図書

出版情報:

Boca Raton : Chapman & Hall/CRC, c2001

形態:

xxiii, 289 p. ; 25 cm

著者名:

ISBN:

9781584882107 [1584882107] (alk. paper)

書誌ID:

BA49577458

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references (p. [271]-276) and indexes

主題:

Elliptic functions; Polynomials

言語:

英語

目次情報:

Contents

Tables

Preface

Introduction

Binomial Sequences of Polynomials / 1.：

The functions F / (a)：

The functions F[subscript 0]--The sequences {G[subscript m](z)} and {H[subscript m](z)} / (b)：

The Binomial Sequences Generated from f[superscript -1], f [set membership] F[superscript 0] / 2.：

The Functions F[subscript 1]--Elliptic Polynomials of the First Kind / 3.：

The Moment Polynomials--P[subscript n](x,y), Q[subscript n](x,y), and R[subscript n](x,y) / 4.：

The Functions F[superscript -1 subscript 1]--Elliptic Polynomials of Second Kind / 5.：

Inner Products, Integrals, and Moments--Favard's Theorem / 6.：

The Functions F[subscript 2]--Orthogonal Sequences {G[subscript m](z)}, {H[subscript m](z)} / 7.：

The Functions in Classes I and II / 8.：

Class I Functions--The elliptic functions sn (t,k)

Class II Functions--The polynomials f*(t,k)

The Tangent Numbers / 9.：

Class III Functions--The [delta subscript n](x) Polynomials / 10.：

Coefficients of the [delta subscript n](x) Polynomials / 11.：

The [lambda subscript n](x) Polynomials / 12.：

The Orthogonal Sequences {A[subscript m](z)} and {B[subscript m](z)} / 13.：

The Weight Functions for {A[subscript m](z)} and {B[subscript m](z)} / 14.：

Miscellaneous Results / 15.：

Uniqueness and Completion Results / 16.：

Polynomial Inequalities / 17.：

Some Concluding Questions / 18.：

References

Name Index

Subject Index

Symbol Index

Contents

Tables

Preface

Introduction

Binomial Sequences of Polynomials / 1.：

The functions F / (a)：

続きを見る

東工大ブックレビュー

類似資料:

1 図書 Polynomial approximation Feinerman, Robert P., Newman, Donald J., 1930- Williams & Wilkins	7 図書 Elliptic functions : a constructive approach Walker, P. L. (Peter L.), 1942- J. Wiley
2 図書 Applications of finite groups Lomont, John S., 1924- Academic Press	8 図書 The applications of elliptic functions Greenhill, G. (George), Sir, 1847-1927 Macmillan
3 図書 The numerical solution of systems of polynomials ; arising in engineeing and science Sommese, Andrew John, Wampler, Charles W. World Scientific	9 図書 An elementary treatise on elliptic functions Cayley, Arthur, 1821-1895 Dover
4 図書 Topics in polynomials : extremal problems, inequalities, zeros Milovanović, G. V., Mitrinović, Dragoslav S., Rassias, Themistocles M., 1951- World Scientific	10 電子ブック Lectures on selected topics in mathematical physics : elliptic functions and elliptic integrals Schwalm, William A., Morgan & Claypool Publishers, Institute of Physics (Great Britain) IOP science
5 図書 Polynomials (: New York ; : Berlin) Barbeau, E. J. Springer-Verlag	11 図書 Polynomial mappings (: us ; : gw) Narkiewicz, Władysław Springer-Verlag
6 図書 Elliptic functions and elliptic integrals Prasolov, V. V., Solovʹev, I︠U︡. P American Mathematical Society	12 図書 Algebra of polynomials (ne ; us) Lausch, Hans, Nöbauer, Wilfried North-Holland Pub. Co, American Elsevier