New functions generated by increasing factorials and their properties
1 Department of Differential Equations and Applied Mathematics, Vasyl Stefanyk Precarpathian National University, Ivano-Frankivsk, 76018, Ukraine
2 Department of Algebra and Geometry, Vasyl Stefanyk Precarpathian National University, Ivano-Frankivsk, 76000, Ukraine
Keywords:
increasing factorial powers, differential equations
Abstract
We consider new functions defined by increasing factorial powers. We sketch graphs of such functions and find some of their properties and related formulas. It is shown that constructed functions are solutions of ordinary differential equations derived in the paper.
References
[1] Gelfond A. O. Calculus of finite differences. - M. : GIFML, 1959. - 400 p.
[2] Graham R., Knuth D., Patashnik O. Concrete Mathematics. Foundations of computer science. - M. :Mir, 1998. - 703 p.
[3] Handbook on special functions with formulas, graphs and mathematical tables / Edited by M. Abramovitz and I. Stegan. - M. :Nauka, 1979. - 832 p.
Cite
- ACS Style
- Goy, T.P.; Zatorsky, R.A. New functions generated by increasing factorials and their properties. Bukovinian Mathematical Journal. 2016, 1
- AMA Style
- Goy TP, Zatorsky RA. New functions generated by increasing factorials and their properties. Bukovinian Mathematical Journal. 2016; 1(1-2).
- Chicago/Turabian Style
- Taras Petrovych Goy, Roman Andriyovych Zatorsky. 2016. "New functions generated by increasing factorials and their properties". Bukovinian Mathematical Journal. 1 no. 1-2.
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