Evaluation Of Improper Integrals By Method Of Residue Theorem:- Ukonu, Ejinma O.
Abstract
This work applies the residues theorem which is a
concept of the complex calculus to the real calculus. This is significant as
the theorem is used for the evaluation of some real definite integrals. First,
the residues of a complex function is established from which the residues
theorem is stated and proved. These were done with the aid of the Laurent’s
series of a complex function and cauchy s integral theorems and formulas.
Finally, the theorem is applied to the evaluation of some real definite integrals
by appropriate conversions of the real functions to complex ones and selecting
suitable contours for their integration.
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UKONU, O (2024). Evaluation Of Improper Integrals By Method Of Residue Theorem:- Ukonu, Ejinma O.. Repository.mouau.edu.ng: Retrieved Dec 21, 2024, from https://repository.mouau.edu.ng/work/view/evaluation-of-improper-integrals-by-method-of-residue-theorem-ukonu-ejinma-o-7-2
ONUOHA, UKONU. "Evaluation Of Improper Integrals By Method Of Residue Theorem:- Ukonu, Ejinma O." Repository.mouau.edu.ng. Repository.mouau.edu.ng, 23 Feb. 2024, https://repository.mouau.edu.ng/work/view/evaluation-of-improper-integrals-by-method-of-residue-theorem-ukonu-ejinma-o-7-2. Accessed 21 Dec. 2024.
ONUOHA, UKONU. "Evaluation Of Improper Integrals By Method Of Residue Theorem:- Ukonu, Ejinma O.". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 23 Feb. 2024. Web. 21 Dec. 2024. < https://repository.mouau.edu.ng/work/view/evaluation-of-improper-integrals-by-method-of-residue-theorem-ukonu-ejinma-o-7-2 >.
ONUOHA, UKONU. "Evaluation Of Improper Integrals By Method Of Residue Theorem:- Ukonu, Ejinma O." Repository.mouau.edu.ng (2024). Accessed 21 Dec. 2024. https://repository.mouau.edu.ng/work/view/evaluation-of-improper-integrals-by-method-of-residue-theorem-ukonu-ejinma-o-7-2