Two non-elementary integral functions defined using central factorial powers

T.P. Goy (Vasyl Stefanyk Precarpathian National University),


We study two new real-valued non-elementary functions generated by central factorial powers. Graphs of such functions are plotted and some of their properties are proved. It is also shown that new integral functions are solutions of fourth order linear ordinary differential equations with variable coefficients.


factorial powers; central factorial powers; generalized hypergeometric function; Fresnels integrals

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991