ON SOME INTEGRAL REPRESENTATIONAL FORMULAS FOR SCHWARZIAN COEFFICIENTS WITH AN APPLICATION TO NUMBER THEORY

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Published: Dec 1, 1992
DOI: https://doi.org/10.5556/j.tkjm.23.1992.4556
Keywords:
Löwner parametric method Schwarzian coefficients

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STEPHEN M. ZEMYAN
Department of Mathematics, The Pennsylva11ia State University, Mont Alto Campus, Mont Alto, Pennsylvania 17237-9799, U.S.A.

Abstract




We develop integral representational formulas for all Sch­warzian coefficients of single-slit mappings by utilizing Lowner's Para­metric Method. As an application, we evaluate a complicated number­ theoretic sum.




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How to Cite
ZEMYAN, S. M. (1992). ON SOME INTEGRAL REPRESENTATIONAL FORMULAS FOR SCHWARZIAN COEFFICIENTS WITH AN APPLICATION TO NUMBER THEORY. Tamkang Journal of Mathematics, 23(4), 327–335. https://doi.org/10.5556/j.tkjm.23.1992.4556
Issue
Vol. 23 No. 4 (1992)
Section
Papers
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