Browsing Jaem 2014, Vol 4, No 1 by Title
Now showing items 120 of 21

Approximate optimality conditions
(Işık University Press, 20131012)We propose in this paper a systematic study which is a variational approach of approximate optimality conditions in terms of Ekeland’s variational principle and some of its applications. Using a generalised differentiati ... 
Certain class of harmonic mappings related to starlike functions
(Işık University Press, 20131012)Let S∗ be the class of starlike functions and let SH be the class of harmonic mappings in the plane. In this paper we investigate harmonic mapping related to the starlike functions. 
Differential subordinations using ruscheweyh derivative and S˘al˘agean operator
(Işık University Press, 20131012)In the present paper we study the operator defined by using the Ruscheweyh derivative R mf(z) and the S˘al˘agean operator S mf(z), denoted L m α : An → An, Lm α f(z) = (1−α)R mf(z)+αSmf(z), z ∈ U, where An = {f ∈ ... 
Domination integrity of total graphs
(Işık University Press, 20131012)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. 
Estimating coefficients for subclasses of meromorphic biunivalent functions associated with linear operator
(Işık University Press, 20131012)In this paper we define a differential linear operator, applying it on the subclasses HΣ∗B (α, n, λ) of meromorphic starlike biunivalent functions of order α, and HΣ˜ ∗B (α, n, λ) of meromorphic strongly starlike ... 
Extensions for certain subordination relations
(Işık University Press, 20131012)For some complex number γ which has a positive real part, a certain subordination relation concerned with the Bernardi integral operator Iγ was proven by D. J. Hallenbeck and St. Ruscheweyh (Proc. Amer. Math. Soc. 52(1975), ... 
Free surface flow over a triangular depression
(Işık University Press, 20131012)Twodimensional steady freesurface flows over an obstacle is considered. The fluid is assumed to be inviscid, incompressible and the flow is irrotational. Both gravity and surface tension are included in the dynamic ... 
Harmonic mappings related to closetoconvex functions of complex order b
(Işık University Press, 20131012)Let CC(b) be the class of functions closetoconvex functions of order b, and let SH be the class of harmonic mappings in the plane. In the present paper we investigate harmonic mappings related to closetoconvex functions ... 
Harmonic mappings related to starlike function of complex order α
(Işık University Press, 20131012)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 ... 
Harmonic mappings related to the convex functions
(Işık University Press, 20131012)The main purpose of this paper is to give the extent idea which was introduced by R. M. Robinson [5]. One of the interesting application of this extent idea is an investigation of the class of harmonic mappings related to ... 
A new look at qhypergeometric functions
(Işık University Press, 20131012)For complex parameters ai, bj , q(i = 1, ..., r, j = 1, ..., s, bj ∈ C\{0, −1, −2, ...}, q < 1), define the qhypergeometric function rΦs(a1, ..., ar; b1, ..., bs; q, z) by rΦs(ai; bj ; q, z) = ∑∞ n=0 (a1, q)n...(ar, q)n ... 
New sufficient conditions for starlike and convex functions
(Işık University Press, 20131012)Let A be the class of analytic functions f(z) in the open unit disc. Applying the subordination, some sufficient conditions for starlikeness and convexity are discussed. 
Notes on certain harmonic starlike mappings
(Işık University Press, 20131012)Complexvalued harmonic functions that are univalent and sensepreserving in the unit disk D can be written in the form f = h + ¯g, where h and g are analytic in D. We give some inequalities for normalized harmonic functions ... 
On a criterion for multivalent harmonic functions
(Işık University Press, 20131012)For normalized harmonic functions f(z) = h(z) + g(z) in the open unit disk, a criterion on the analytic part h(z) for f(z) to be pvalent and sensepreserving is discussed. Furthermore, several illustrative examples and ... 
On a new subclass of harmonic meromorphic functions wıth fixed residue ξ
(Işık University Press, 20131012)We use the differential operator D n,µ λ,δ,φ to introduce a new class SHn,γ,β,ξ λ,δ,φ,µ (w, k, α) of meromorphic harmonic functions with fixed residue ξ in Uw. Then we give the coefficient estimates, distortion theorem ... 
On an extension of kummertype II transformation
(Işık University Press, 20131012)In the theory of hypergeometric and generalized hypergeometric series, Kummer’s type I and II transformations play an important role. In this short research paper, we aim to establish the explicit expression of e − ... 
On certain classes of univalent meromorphic functions associated with integral operators
(Işık University Press, 20131012)This paper illustrates how some inclusion relationships of certain class of univalent meromorphic functions may be defined by using the linear operator. Further, a property preserving integrals is considered for the final ... 
On the solutions of fuzzy fractional differential equation
(Işık University Press, 20131012)In this paper the exact and the approximate solutions of fuzzy fractional differential equation, in the sense of Caputo Hukuhara differentiability, with a fuzzy condition are constructed by using the fuzzy Laplace transform. ... 
Some properties of certain subclasses of meromorphic pvalent integral operators
(Işık University Press, 20131012)For meromorphic pvalent function of the form fi(z) = 1−α (z−w)p + ∑∞ n=2 a i n(z− w) n , α < 1, which are analytic in the punctured unit disk z : 0 < z −w < 1 with a pole of order p at w, a class Γp β (ζ1, ... 
Some results on a subclass of harmonic mappings of order alpha
(Işık University Press, 20131012)Let SH be the class of harmonic mappings defined by SH  {f  h(z) + <(g(z))over bar> vertical bar h(z)  z + Sigma(infinity)(n=2)a(n)z(n) , g(z)  b(1)z + Sigma(infinity)(n=2) b(n)z(n), b(1) < 1} where h(z) and g(z) are ...