Expansion of function *z* ln *z* in the quasi-reciprocal continued fraction has been obtained. Convergence region of expansion has been established.

Periodical:

International Journal of Advanced Research in Mathematics (Volume 7)

Pages:

1-9

Citation:

M. M. Pahirya "Expansion of Function *z *ln *z* in the Quasi-Reciprocal Continued Fraction", International Journal of Advanced Research in Mathematics, Vol. 7, pp. 1-9, 2016

Online since:

Dec 2016

Authors:

Keywords:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

References:

[1] P. Henrici, Applied and computational complex analysis, Vol. 1, Power series, integration, conformal mapping, location of zeros, Wiley, (1974).

[2] J.L. Walsh, Interpolation and approximation by rational functions in the complex domain, third ed., American Math. Soc., (1960).

[3] G.A. Baker, P.R. Graves-Morris, Padé approximants, Encyclopedia of Mathematics and its applications, Reading, Mass., Addison-Wesley, (1981).

[4] M. Abramowitz, I. Stegun, Handbook of mathematical functions: with formulas, graphs, and mathematical tables, Courier Corporation, (1964).

[5] Y.L. Luke, Mathematical functions and their approximations, Academic press, (2014).

[6] A.N. Khovanskii, The Application of Continued Fractions and Their Generalizations to Problems in Approximation Theory, P. Noordhoff, Groningen, (1963).

[7] A. Cuyt et al., Handbooks of Continued Fractions for Special Functions, Springer Science and Business Media, (2008).

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

[9] N.E. Nörlund, Vorlesungen über Differenzenrechnung, Springer, (1924).

[10] 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).

[11] M.M. Pahirya, Expansion of function z ln z in the continued fraction, Scien. Bull. of Uzhhorod Univ. Series of Math. and Informath. 27 (2015) 123-136. (in Ukrainian).

[12] W.B. Jones, W.J. Thron, Continued Fractions: Analytic Theory and Applications, Encyclopedia of Mathematics and its Applications, Vol. 11, Addison-Wesley, (1980).