ON A GENERALIZED FORMULA OF TAYLOR–MACLAURIN TYPE ON THE GENERALIZED COMPLETELY MONOTONE FUNCTIONS
DOI:
https://doi.org/10.46991/PYSU:A/2018.52.3.172Keywords:
Riemann–Liouville type operators, $ \langle \rho_j \rangle $ completely monotone functionsAbstract
In the paper Taylor–Maclaurin type formulas for some classes of functions are obtained. The main result of this study introduces an idea of the generalized classes of $ \langle \rho_j \rangle $ completely monotone function. Under the various conditions $ \left( \sum\limits_{j=1}^{\infty} \dfrac{1}{\rho_j} < + \infty ,\ \sum\limits_{j=1}^{\infty} \dfrac{1}{\rho_j} = + \infty \right) $ the terms of their representation are obtained and some related theorems are proved.
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Published
2018-12-17
How to Cite
Sahakyan, B. (2018). ON A GENERALIZED FORMULA OF TAYLOR–MACLAURIN TYPE ON THE GENERALIZED COMPLETELY MONOTONE FUNCTIONS. Proceedings of the YSU A: Physical and Mathematical Sciences, 52(3 (247), 172–179. https://doi.org/10.46991/PYSU:A/2018.52.3.172
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Mathematics
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