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The umbral calculus /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Roman, Steven
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, 1984.
Colección:Pure and applied mathematics (Academic Press) ; 111.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo

MARC

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100 1 |a Roman, Steven. 
245 1 4 |a The umbral calculus /  |c Steven Roman. 
260 |a New York :  |b Academic Press,  |c 1984. 
300 |a 1 online resource (x, 193 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a Pure and applied mathematics ;  |v 111 
504 |a Includes bibliographical references (pages 183-187) and index. 
588 0 |a Print version record. 
505 0 |a Front Cover; The Umbral Calculus; Copyright Page; Contents; Preface; CHAPTER 1. INTRODUCTION; 1. A Definition of the Classical Umbral Calculus; 2. Preliminaries; CHAPTER 2. SHEFFER SEQUENCES; 1. The Umbral Algebra; 2. Linear Operators; 3. Sheffer Sequences; 4. Associated Sequences; 5. Appell Sequences; 6. A Few Examples; CHAPTER 3. OPERATORS AND THEIR ADJOINTS; 1. Continuous Operators on P*; 2. Automorphisms and Derivations on P*; 3. Adjoints; 4. Umbral Operators and Umbral Composition; 5. Sheffer Operators and Umbral Composition 
505 8 |a 6. Umbral Shifts and the Recurrence Formula for Associated Sequences7. Sheffer Shifts and the Recurrence Formula for Sheffer Sequences; 8. The Transfer Formulas; CHAPTER 4. EXAMPLES; 1. Associated Sequences; 2. Appell Sequences; 3. Sheffer Sequences; 4. Other Shefi'er Sequences; CHAPTER 5. TOPICS; 1. The Connection Constants Problem and Duplication Formulas; 2. The Lagrange Inversion Formula; 3. Cross Sequences and Steffensen Sequences; 4. Operational Formulas; 5. Inverse Relations; 6. Sheffer Sequence Solutions to Recurrence Relations; 7. Binomial Convolution 
505 8 |a CHAPTER 6. NONCLASSICAL UMBRAL CALCULI1. Introduction; 2. The Principal Results; 3. A Particular Delta Series and the Gegenbauer Polynomials; 4. The q-Umbra1 Calculus; REFERENCES; Index 
546 |a English. 
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776 0 8 |i Print version:  |a Roman, Steven.  |t Umbral calculus.  |d New York : Academic Press, 1984  |z 0125943806  |z 9780125943802  |w (DLC) 83011940  |w (OCoLC)9622404 
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