Titolo: The Cauchy Method of Residues, Volume 2: Theory and Applications (Mathematics and Its Applications)
Editore: Springer
Data di pubblicazione: 1993
Lingua: Inglese
ISBN 10: 0792323114
ISBN 13: 9780792323112
Rilegatura: Rilegato
Condizione: New

Descrizione articolo

Riassunto

This volume is a sequel to "The Cauchy Method of Residues" published in 1984 (also by Kluwer under the D. Reidel imprint). Volume 1 surveyed the main results published in the period 1814-1982. The present volume contains various results which were omitted from the first volume, some results mentioned briefly in Volume 1 and discussed here in greater detail, and new results published since 1982. It also contains short expositions, by various authors, dealing with new and interesting aspects of the theory and applications of residues. This volume should be of interest to researchers and graduate students in complex analysis, and also physicists and engineers whose work involves the application of complex functions.

Contenuti

Preface. 1. Introduction. 2. Evaluation of Residues. 3. Applications of Calculus of Residues in the Theory of Functions. 4. Evaluation of Real Definite Integrals by Means of Residues. 5. Evaluation of Finite and Infinite Sums by Residues. 6. Applications of Calculus of Residues to Special Functions. 7. Master's Dissertation of J.V. Sohocki. 8. On the Principal and the Generalized Value of Improper Integrals; D.S. Dimitrovski. 9. Applications of the Calculus of Residues to Numerical Evaluation of Integrals; D.D. Tosic. 10. Inclusive Calculus of Residues; M.S. Petkovic. 11. Complex Polynomials Orthogonal on the Semicircle; G.V. Milovanovic. 12. A Representation of Half Plane Meromorphic Functions; D. Mitrovic. 13. Calculus of Residues and Distributions; D. Mitrovic. Name Index. Subject Index.

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