JAEM 2014, Vol 4, No 1

Harmonic mappings related to starlike function of complex order α

Wed, 01 Jan 2014 00:00:00 GMT

Harmonic mappings related to starlike function of complex order α Aydoğan, Seher Melike Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z)| h(z) = z + ∑∞ n=2 anz n , g(z) = ∑∞ n=1 bnz n } The purpose of this talk is to present some results about harmonic mappings which was introduced by R. M. Robinson [8].

Some results on a subclass of harmonic mappings of order alpha

Wed, 01 Jan 2014 00:00:00 GMT

Some results on a subclass of harmonic mappings of order alpha Varol, Dürdane; Aydoğan, Seher Melike; Owa, Shigeyoshi Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z)| h(z) = z + ?? n=2 anz?, g(z) = b1z + ?? n=2 bnz?, b1 < 1 } where h(z) and g(z) are analytic. Additionally f(z) ? SH(?) ? | zh? (z) ? zg?(z) h(z) + g(z) ? 1 ? b1 1 + b1| < | 1 ? b1 1 + b1| ? ?, z ? U, 0 ? ? < 1 ? b1 1 + b1 In the present work, by considering the analyticity of the functions defined by R. M. Robinson [7], we discuss the applications to the harmonic mappings.

Sufficient conditions for generalized Sakaguchi type functions of order β

Wed, 01 Jan 2014 00:00:00 GMT

Sufficient conditions for generalized Sakaguchi type functions of order β Mathur, A. Trilok; Mathur, Ruchi; Sinha, C. Deepa In this paper, we obtain some sufficient conditions for generalized Sakaguchi type function of order β, defined on the open unit disk. Many interesting outcomes of our results are also calculated.

Domination integrity of total graphs

Wed, 01 Jan 2014 00:00:00 GMT

Domination integrity of total graphs Vaidya, Samir K.; Shah, Nirav H. The domination integrity of a simple connected graph G is a measure of vulnerability of a graph. Here we determine the domination integrity of total graphs of path Pn, cycle Cn and star K1,n.