• Harmonic mappings related to starlike function of complex order α 

  Aydoğan, Seher Melike (Işık University Press, 2014-01)

  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 ...

• Some results on a subclass of harmonic mappings of order alpha 

  Varol, Dürdane; Aydoğan, Seher Melike; Owa, Shigeyoshi (Işık University Press, 2014-01)

  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) ...

• Domination integrity of total graphs 

  Vaidya, Samir K.; Shah, Nirav H. (Işık University Press, 2014)

  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.

• Harmonic mappings related to the convex functions 

  Yemişci, Arzu; Polatoğlu, Yaşar (Işık University Press, 2014)

  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 ...

• On the solutions of fuzzy fractional differential equation 

  Takaci, Djurdjica; Takaci, Arpad; Takaci, Aleksandar (Işık University Press, 2014)

  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. ...

• On a new subclass of harmonic meromorphic functions wıth fixed residue ? 

  Sakar, Fethiye Müge; Güney, Hatun Özlem (Işık University Press, 2014)

  We use the differential operator Dn,µ ?,?,? to introduce a new class SHn,?,?,? ?,?,?,µ (w, k, ?) of meromorphic harmonic functions with fixed residue ? in Uw. Then we give the coefficient estimates, distortion theorem and ...

• Approximate optimality conditions 

  Sahraoui, Rahma; Beddani, Abdallah (Işık University Press, 2014)

  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 ...

• On an extension of kummer-type II transformation 

  Rakha, Medhat Awadalla; Rathie, Arjun Kumar (Işık University Press, 2014)

  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? x/2 2F2 ...

• Sufficient conditions for generalized Sakaguchi type functions of order ? 

  Mathur, A. Trilok; Mathur, Ruchi; Sinha, C. Deepa (Işık University Press, 2014)

  In this paper, we obtain some sufficient conditions for generalized Sakaguchi type function of order ?, defined on the open unit disk. Many interesting outcomes of our results are also calculated.

• New sufficient conditions for starlike and convex functions 

  Nishiwaki, Junichi; Owa, Shigeyoshi (Işık University Press, 2014)

  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.

• Free surface flow over a triangular depression 

  Merzougui, Abdelkrim; Laiadi, Abdelkader (Işık University Press, 2014)

  Two-dimensional steady free-surface 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 ...

• Some properties of certain subclasses of meromorphic p-valent integral operators 

  Makinde, Deborah Olufunmilayo (Işık University Press, 2014)

  For meromorphic p-valent function of the form fi(z) = 1?? (z?w)p + ?? n=2 a i n(z?w)n, ? < 1, which are analytic in the punctured unit disk z : 0 < |z ?w| < 1 with a pole of order p at w, a class ?p ? (?1, ?2; ?) is ...

• Extensions for certain subordination relations 

  Kuroki, Kazuo (Işık University Press, 2014)

  For some complex number ? which has a positive real part, a certain subordination relation concerned with the Bernardi integral operator I? was proven by D. J. Hallenbeck and St. Ruscheweyh (Proc. Amer. Math. Soc. 52(1975), ...

• On a criterion for multivalent harmonic functions 

  Hayami, Toshio (Işık University Press, 2014)

  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 p-valent and sense-preserving is discussed. Furthermore, several illustrative examples and ...

• On certain classes of univalent meromorphic functions associated with integral operators 

  Ghanim, Firas (Işık University Press, 2014)

  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 ...

• Estimating coefficients for subclasses of meromorphic bi-univalent functions associated with linear operator 

  Aziz, Fateh; Juma, Abdul Rahman (Işık University Press, 2014)

  In this paper we define a differential linear operator, applying it on the subclasses H??B (?, n, ?) of meromorphic starlike bi-univalent functions of order ?, and H?˜ ?B (?, n, ?) of meromorphic strongly starlike bi-univalent ...

• Differential subordinations using ruscheweyh derivative and S?l?gean operator 

  Alina, Alp Lupas (Işık University Press, 2014)

  In the present paper we study the operator defined by using the Ruscheweyh derivative Rm f(z) and the S?l?gean operator Sm f(z), denoted Lm? : An ? An, Lm? f(z) = (1??)Rm f(z)+?Sm f(z), z ? U, where An = {f ? H(U) : f(z) ...

• Harmonic mappings related to close-to-convex functions of complex order b 

  Polatoğlu, Yaşar (Işık University Press, 2014)

  Let CC(b) be the class of functions close-to-convex 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 close-to-convex functions ...

• Certain class of harmonic mappings related to starlike functions 

  Kahramaner, Yasemin (Işık University Press, 2014)

  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.

• Notes on certain harmonic starlike mappings 

  Yavuz Duman, Emel; Owa, Shigeyoshi (Işık University Press, 2014)

  Complex-valued harmonic functions that are univalent and sense-preserving 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 ...

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