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A Reciprocal g-Derivatives of 2-nd Type and its Properties

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Abstract:

A new type of functional reciprocal derivatives called reciprocal g-derivatives of 2-nd type are introduced in the consideration. Analogue of Thiele formula for quasi-reciprocal functional continued fractions has been proposed.

Info:

Periodical:
International Journal of Advanced Research in Mathematics (Volume 8)
Pages:
1-11
Citation:
M. M. Pahirya, "A Reciprocal g-Derivatives of 2-nd Type and its Properties", International Journal of Advanced Research in Mathematics, Vol. 8, pp. 1-11, 2017
Online since:
April 2017
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References:

Thiele T.N., Interpolationsprechnung, Commisission von B.G. Teubner, (1909).

M.M. Pahirya, Expansion of functions of complex variable in the Thiele-like quasi-inverse continued fraction, Scien. Bull. of Uzhhorod Univ. Series of Math. and Informath. 25 (2014) 131-144. (in Ukrainian).

M.M. Pahirya, Approximation functions by continued fractions, Grazhda, Uzhhorod, 2016. (in Ukrainian).

W.B. Jones, W.J. Thron, Continued fractions, analytic theory and applications, Encyclopedia of Mathematics and its Applications, Wesley, (1980).

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Cited By:

[1] M. Pahirya, "Representations of the Functions Sinh Z, Cosh Z, Sin Z, and Cos Z by Continued Fractions", Ukrainian Mathematical Journal, 2018

DOI: https://doi.org/10.1007/s11253-018-1533-9