Article
Composita and its Properties
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Abstract
In this paper we study the coefficients of the powers of an ordinary generating function and their properties. A new class of functions based on compositions of an integer n is introduced and is termed composita. We present theorems about compositae and operations with compositae. We obtain the compositae of polynomials, trigonometric and hyperbolic functions.
Keywords
Generating function, composition of generating functions, composita
Citation
Kruchinin, V. V. & Kruchinin, D. V. (2014). Composita and its properties. Journal of Analysis & Number Theory, 2(2), 37–44. https://doi.org/10.12785/jant/020202
V. V. Kruchinin and D. V. Kruchinin, “Composita and its properties,” Journal of Analysis & Number Theory, vol. 2, no. 2, pp. 37–44, 2014, doi: 10.12785/jant/020202.
Kruchinin VV, Kruchinin DV. Composita and its properties. Journal of Analysis & Number Theory. 2014;2(2):37–44. doi:10.12785/jant/020202.
Kruchinin, V. V. and Kruchinin, D. V. (2014), ‘Composita and its properties’, Journal of Analysis & Number Theory, 2(2), pp. 37–44. Available at: https://doi.org/10.12785/jant/020202.
Kruchinin, Vladimir V., and Dmitry V. Kruchinin. “Composita and Its Properties.” Journal of Analysis & Number Theory, vol. 2, no. 2, 2014, pp. 37–44. https://doi.org/10.12785/jant/020202.
Kruchinin, Vladimir V., and Dmitry V. Kruchinin. “Composita and Its Properties.” Journal of Analysis & Number Theory 2, no. 2 (2014): 37–44. https://doi.org/10.12785/jant/020202.
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Published by: Engineering Journals
