most citedStarlikeness and convexity for analytic functions concerned with Jack's lemma

3 citations · 5 across the 14 of their papers we have counts for

collaborators

14 papers

math.CV2013

Some classes of order α for second-order differential inequalities

Hitoshi Shiraishi, Kazuo Kuroki, Shigeyoshi Owa

For analytic functions f(z) in the open unit disk U with f(0)=f'(0)-1=0, S. S. Miller and P. T. Mocanu (Integral Transform. Spec. Funct. 19(2008)) have considered some sufficient p…

math.CV2013

An application of Jack's lemma for the minimum point

Hitoshi Shiraishi

For the analytic function f(z), H. Shiraishi and S. Owa (Stud. Univ. Babes-Bolyai Math. 55(2010), 207-211) have shown a theorem for the minimum value of |f(z)|. In this paper, we d…

math.CV2013

New extensions for a theorem by Mocanu

Hitoshi Shiraishi, Shigeyoshi Owa

For analytic functions f(z) in the open unit disk U with f(0)=f'(0)-1=f"(0)=0, P. T. Mocanu (Mathematica (Cluj), 42(2000)) has considered some sufficient arguments of f'(z)+zf"(z)…

math.CV2013

Sufficient conditions for strongly Carathéodory functions

Hitoshi Shiraishi, Shigeyoshi Owa, H. M. Srivastava

Applying the subordination principle for analytic functions in the open unit disk U, I. H. Kim and N. E. Cho (Comput. Math. Appl. 59(2010), 2067-2073) considered some sufficient co…

math.CV2013★ 1 cited

Starlikeness problems for certain analytic functions concerned with subordinations

Hitoshi Shiraishi, Shigeyoshi Owa, Toshio Hayami +2

Let A_n be the class of functions f(z) which are analytic in the open unit disk U} with f(0)=0, f'(0)=1, f"(0)=f"'(0)=...=f^{(n)}=0 and f^{(n+1)}\neq0. Applying the results due to…

math.CV2013★ 1 cited

An application of Miller and Mocanu lemma

Hitoshi Shiraishi, Shigeyoshi Owa

Let H[a_0,n] be the class of functions f(z)=a_0+a_nz^n+...which are analytic in the open unit disk U}. For f(z) in H[a_0,n], S. S. Miller and P. T. Mocanu (J. Math. Anal. Appl. 65(…

math.CV2013

Properties of certain analytic functions associated with two boundary points

Hitoshi Shiraishi, Shigeyoshi Owa

For analytic functions f(z) in the closed unit disk \bar{U}, two boundary points z_1 and z_2 such that α= (f'(z_1)+f'(z_2))/2 in f'(U) are considered. The object of the present pap…

math.CV2013

Some sufficient problems for strongly close-to-convex of order μ

Hitoshi Shiraishi, Shigeyoshi Owa

For analytic functions f(z) in the open unit disk U with f(0)=f'(0)-1=0, a class STC(μ) is defined. The object of the present paper is to discuss some sufficient problems for f(z)…

math.CV2013

Starlikeness of order α rerated to Mocanu functions

Hitoshi Shiraishi, Shigeyoshi Owa

For analytic functions f(z) in the open unit disk U with f(0)=f'(0)-1=0, P. T. Mocanu (Mathematica (Cluj), 11(34) (1969)) have considered Mocanu functions. The object of the presen…

math.CV2013★ 3 cited

Starlikeness and convexity for analytic functions concerned with Jack's lemma

Hitoshi Shiraishi, Shigeyoshi Owa

There are many results for sufficient conditions of functions f(z) which are analytic in the open unit disc U to be starlike and convex in U. The object of the present paper is to…

math.CV2013

Some sufficient problems for certain univalent functions

Hitoshi Shiraishi, Shigeyoshi Owa

For analytic functions f(z) in the open unit disk U with f(0)=f'(0)-1=0, R. Singh and S. Singh (Coll. Math. 47(1982), 309-314) have considered some sufficient problems for f(z) to…

math.CV2013

Coefficient estimates for Schwarz functions

Hitoshi Shiraishi, Toshio Hayami

Let be the class of functions of the form which are analytic and satisfy the condition in the open unit dis…

math.CV2013

An extension of Nunokawa lemma and its example

Hitoshi Shiraishi, Mamoru Nunokawa

For analytic functions p(z) in the open unit disk U with p(0)=1, Nunokwa has given a result which called Nunokawa lemma (Proc. Japan Acad., Ser. A 68 (1992)). By studying Nunokawa…

math.CV2013

Extensions of Nunokawa lemma for argument properties

Hitoshi Shiraishi

Let H[a_0,n] be the class of functions p(z)=a_0+a_nz^n+... which are analytic in the open unit disk U. For p(z)in H[1,2], M. Nunokawa, S. Owa, N. Uyanik and H. Shiraishi (Math. Com…