Some Further Developments in the Infinite Product Representation of Elementary Functions

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21D20

Some Further Developments in the Infinite Product Representation of Elementary Functions

Viktor Reshniak
Viktor Reshniak Middle Tennessee State University
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Abstract

An innovatory approach has been recently proposed for the derivation of infinite product representation of elementary functions. The approach is based on the comparison of different alternative forms of Green’s functions for boundary-value problems stated for the two-dimensional Laplace equation. A number of new infinite product representations of elementary functions was actually derived within the scope of that approach. The present study continues the trend: it aims at an analysis of the approach and exploring ways for its extending to some other problem statements that might also be efficiently treated.

Some Further Developments in the Infinite Product Representation of Elementary Functions

An innovatory approach has been recently proposed for the derivation of infinite product representation of elementary functions. The approach is based on the comparison of different alternative forms of Green’s functions for boundary-value problems stated for the two-dimensional Laplace equation. A number of new infinite product representations of elementary functions was actually derived within the scope of that approach. The present study continues the trend: it aims at an analysis of the approach and exploring ways for its extending to some other problem statements that might also be efficiently treated.

Viktor Reshniak
Viktor Reshniak Middle Tennessee State University

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Viktor Reshniak. 2013. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F4): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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Some Further Developments in the Infinite Product Representation of Elementary Functions

Viktor Reshniak
Viktor Reshniak Middle Tennessee State University

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