Now showing items 1-20 of 22

• #### A note on certain analytic functions ﻿

(International Short Joint Research Workshop, Study on Calculus Operators in Univalent Function Theory, 2007, Research Institute for Mathematical Sciences, Kyoto University (RIMS), Kyoto, Japan, 2007)
• #### A Remark on multivalently convex and starlike functions ﻿

(2007-01)
Applying the result for certain analytic functions due to M. Nunokawa [Proc. Japan Acad. 68A, 152–153 (1992; Zbl 0773.30020)], some properties for multivalently convex and starlike functions ar discussed.
• #### Coefficient inequalities for classes of uniformly starlike and convex functions ﻿

(2006-01)
In view of classes of uniformly starlike and convex functions in the open unit discUwhich was considered by S. Shams, S.R. Kulkarni and J.M. Jahangiri, some coefﬁcient in-equalities for functions are discussed

(2007)
• #### Multivalued starlike functions of complex order ﻿

(2008)
Let Aα be the class of functions f(z) = z α (z + a2z 2 + · · ·) which are analytic in the open unit disc U. For f(z) ∈ Aα using the fractional calculus, a subclass S ∗ α (1−b) which is the class of starlike functions ...
• #### Multivalued starlike functions of complex order ﻿

(2008)
Let S ∗ λ (1−b)(b 6= 0, complex) denote the class of functions f(z) = z+a2z 2+· · · analytic in the open unit disc D = {z ∈ C||z| < 1} which satisfy for z = reiθ ∈ D, f(z) z 6= 0 and Re · 1 + 1 b µ z (Dλ f ...
• #### New characterization of the class of starlike functions ﻿

(The Korean Mathematical Society, 2008)
For analytic functions f(z) in the open unit disc D, an operator Nα(f(z)) relating with starlike functions is introduced. The object of the present paper is to discuss some properties of the operator Nα(f(z)).
• #### New subclasses of certain analytic functions ﻿

(2010)
For certain analytic functions fiz) in the open unit disk U, two subclasses 7ia,S;g) and Q(a,(5;g) associated with some analytic function g{z). Some interesting sufficient conditions for fiz) to be in ^(Q,^;^ ) and ...
• #### Notes on certain analytic functions ﻿

(SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR-06100 ANKARA, TURKEY, 2019)
Let A(n) be the class of functions f(z) = a(n)z(n) + a(n+1)z(n+1) +...(n is an element of N), which are analytic in the open unit disk U, where a(n) not equal 0. For f(z) is an element of A(n), Miller and Mocanu ...
• #### Notes on Certain Harmonic Starlike Mappings ﻿

(9th International Symposium on Geometric Function Theory and Applications, GFTA, 2014)
• #### Notes on Starlike log-Harmonic Functions of Order alpha ﻿

(2013)
For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H∗ LH(α) and G∗ LH (α) of S∗ LH(α) consisting of all starlike log-harmonic functions of order α (0 ≤ α < 1) are considered. The object ...
• #### On Janowski starlike functions ﻿

(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2007)
For analytic functions f(z) in the open unit disc U with f(0) = 0 and f'(0) = 1, applying the fractional calculus for f(z), a new fractional operator D-lambda f(z) is introduced. Further, a new subclass F-lambda(*)(A, B) ...

(2007)
• #### On some alpha-convex functions ﻿

(2008-06)
In this paper, we define a general class of α-convex functions, denoted by MLβ,α(q), with respect to a convex domain D (q(z) ∈ Hu(U), q(0) = 1 , q(U) = D) contained in the right half plane by using the linear operator ...
• #### On the improvement of Mocanu's conditions ﻿

(Springer International Publishing, 2013-12)
We estimate |Arg{p(z)}| for functions of the form p(z)=1+a1z+a2z2+a3z3+⋯ in the unit disc D={z:|z|<1} under several assumptions. By using Nunokawa’s lemma, we improve a few of Mocanu’s results obtained by differential ...
• #### Partial sums of certain univalent functions ﻿

(2012)
The partial sums f3(z) of some extermal functions for various classes S∗, K and R of starlike functions, convex functions and functions with positive real part in the open unit disk U, respectively, are discussed. In ...
• #### Properties of functions concerned with Caratheodory functions ﻿

(2013)
Let Pn denote the class of analytic functions p(z) of the form p(z) = 1+ cnzn + cn+1zn+1 + ... in the open unit disc U. Applying the result by S. S. Miller and P. T. Mocanu (J. Math. Anal. Appl. 65 (1978), 289–305), ...
• #### Reciprocal Classes Of P-Valently Spirallike And P-Valently Robertson Functions ﻿

(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2011)
For p-valently spirallike and p-valently Robertson functions in the open unit disk U, reciprocal classes S-p(alpha, beta), and C-p(alpha, beta) are introduced. The object of the present paper is to discuss some interesting ...
• #### Some Properties Of Analytic Functions Relating To The Miller And Mocanu Result ﻿

(Pergamon-Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England, 2011-03)
Let P(alpha) be the class of analytic functions p(z) in the open unit disc U with p(0) = 1 and |arg p(z)| < pi/2 alpha (z is an element of U) for some real alpha > 0. The object of the present paper is to discuss some ...
• #### Some properties of certain analytic functions ﻿

(2012)
Applying the subordinations for analytic functions f(z) normalized by f(0) = 0 and f 0 (0) = 1 in the open unit disk U, some properties of f(z) are discussed.