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Polynomial Functions Composed of Terms with Non-Integer Powers

Polynomial Functions Composed of Terms with Non-Integer Powers
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摘要 Polynomial functions containing terms with non-integer powers are studied to disclose possible approaches for obtaining their roots as well as employing them for curve-fitting purposes. Several special cases representing equations from different categories are investigated for their roots. Curve-fitting applications to physically meaningful data by the use of fractional functions are worked out in detail. Relevance of this rarely worked subject to solutions of fractional differential equations is pointed out and existing potential in related future work is emphasized. Polynomial functions containing terms with non-integer powers are studied to disclose possible approaches for obtaining their roots as well as employing them for curve-fitting purposes. Several special cases representing equations from different categories are investigated for their roots. Curve-fitting applications to physically meaningful data by the use of fractional functions are worked out in detail. Relevance of this rarely worked subject to solutions of fractional differential equations is pointed out and existing potential in related future work is emphasized.
作者 Serdar Beji Serdar Beji(Faculty of Naval Architecture and Ocean Engineering, Istanbul Technical University, Istanbul, Turkey)
出处 《Advances in Pure Mathematics》 2021年第10期791-806,共16页 理论数学进展(英文)
关键词 RATIONAL Irrational Imaginary and Transcendental Powers Roots of Functions with Variables of Non-Integer Powers Curve-Fitting by Functions Incorporating Terms with Rational Powers Fractional Differential Equations Rational Irrational Imaginary and Transcendental Powers Roots of Functions with Variables of Non-Integer Powers Curve-Fitting by Functions Incorporating Terms with Rational Powers Fractional Differential Equations
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