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Composita and its Properties |
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PP: 37-44 |
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Author(s) |
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Vladimir V. Kruchinin,
Dmitry V. Kruchinin,
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Abstract |
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| 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. |
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