Erratum to: Int J Theor Phys (2011) 50:2466–2476

DOI 10.1007/s10773-011-0735-9

The paper [A. Zarei et al., Int. J. Theor. Phys. 50 (2011) 2466] should be corrected by applying the following changes:

The formulae (3.8) and (3.22) which were mentioned in Sect. 3:

$$\Pi_{kr}\bigl(k^{2}\bigr) = - \frac{e^{2}}{12\pi^{2}}\ln \biggl( - \frac{k^{2}}{m^{2}} \biggr) - \frac{e^{2}}{6\pi^{2}}\frac{k^{2}}{m^{2}} - \frac{e^{2}}{2\pi^{2}} \int_{0}^{1} dx (1 - x)x\ln \biggl( 1 - x(1 - x) \frac{k^{2}}{m^{2}} \biggr), $$

and

$$F_{1}^{kr}\bigl(q^{2}\bigr)_{q^{2} \to 0} = - \frac{e^{2}q^{2}}{16\pi^{2}m^{2}} + \frac{3e^{2}q^{2}}{64\pi^{2}m^{2}} - \frac{e^{2}q^{2}}{12\pi^{2}m^{2}} \biggl( \ln \frac{m}{\mu} - \frac{3}{8} \biggr), $$

should be corrected as follows:

It is important to note that other equations and the conclusion in this paper are thoroughly correct and have not been affected by the above mentioned error.