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

3 citations · 5 across the 13 of their papers we have counts for

collaborators

13 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.CV20131 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.CV20131 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(…