Cauchy Method of Residues, Volume 2: Theory and Applications

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.