New integral functions generated by rising factorial powers

Authors

  • T.P. Goy Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine https://orcid.org/0000-0002-6212-3095
  • R.A. Zatorsky Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
https://doi.org/10.15330/cmp.5.2.217-224

Keywords:

factorial power, rising factorial power, Fresnel integrals, power series, Cauchy problem
Published online: 2013-12-30

Abstract

We consider new nonelementary functions such as the Fresnel integrals, generated by rising factorial powers. Graphs of such functions are plotted and some of their properties are proved. It is shown, that new integral functions are solutions of second order ordinary differential equations with variable coefficients.
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How to Cite
(1)
Goy, T.; Zatorsky, R. New Integral Functions Generated by Rising Factorial Powers. Carpathian Math. Publ. 2013, 5, 217-224.

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