• Journal of the Korean Mathematical Society
• /
• v.54 no.6
• /
• pp.1641-1665
• /
• 2017

The paper considers p-valent functions in the open unit disk. We study the integral means along with the area integral problems for functions belonging to a family of p-valent functions.

• Journal of applied mathematics & informatics
• /
• v.40 no.3_4
• /
• pp.753-764
• /
• 2022

In this paper, we introduce and investigate two new subclasses of p-valent analytic functions of complex order defined by using q-p-valent Bernardi integral operator. Also we obtain coefficient estimates and consequent inclusion relationships involving the (q, m, 𝛿)-neighborhoods of these subclasses.

• Bulletin of the Korean Mathematical Society
• /
• v.51 no.6
• /
• pp.1625-1647
• /
• 2014

By making use of the familiar concept of neighborhoods of analytic functions, we prove several inclusion relationships associated with the (n, ${\delta}$)-neighborhoods of certain subclasses of p-valent analytic functions of complex order with missing coefficients, which are introduced here by means of the Saitoh operator. Special cases of some of the results obtained here are shown to yield known results.

• Kyungpook Mathematical Journal
• /
• v.55 no.2
• /
• pp.327-333
• /
• 2015

In this paper, we introduce a class of p-valent meromorphic functions associated with linear operator and derive several interesting results of this class.

• The Pure and Applied Mathematics
• /
• v.12 no.1
• /
• pp.57-63
• /
• 2005

Let ∑(p)(p ∈ N) be the class of functions f(z) = z/sup -p/ + α/sub 1-p/ z/sup 1-p/ + α/sub 2-p/z/sup 2-p/ + ... analytic in 0 < ｜z｜ < 1 and let M(p, λ, μ)(0 < λ≤ 2 and 2λ(λ - 1) ≤ μ ≤ λ²) denote the class of functions f(z) ∈ ∑(p) which satisfy (equation omitted). The object of the present paper is to derive some properties of functions in the class M(p, λ, μ).

• Kyungpook Mathematical Journal
• /
• v.53 no.4
• /
• pp.615-624
• /
• 2013

The object of the present paper is to investigate the majorization properties of certain subclasses of analytic p-valent functions defined by convolution.

• Bulletin of the Korean Mathematical Society
• /
• v.44 no.4
• /
• pp.597-606
• /
• 2007

The object of the present paper is to show quasi-Hadamard products of certain p-valent functions with negative coefficients in the open unit disc. Our results are the generalizations of the corresponding results due to Yaguchi et al. [10], Aouf and Darwish [3], Lee et al. [5] and Sekine and Owa [9].

• Bulletin of the Korean Mathematical Society
• /
• v.35 no.3
• /
• pp.571-582
• /
• 1998

The object of the present paper is to derive some sufficient conditions for p-valently close-to-convexity, p-valently starlikeness and p-valently convexity.

• Korean Journal of Mathematics
• /
• v.12 no.2
• /
• pp.107-115
• /
• 2004

In this paper, the new subclass denoted by $S_p({\alpha},{\beta},{\xi},{\gamma})$ of $p$-valent holomorphic functions has been introduced and investigate the several properties of the class $S_p({\alpha},{\beta},{\xi},{\gamma})$. In particular we have obtained integral representation for mappings in the class $S_p({\alpha},{\beta},{\xi},{\gamma})$) and determined closed convex hulls and their extreme points of the class $S_p({\alpha},{\beta},{\xi},{\gamma})$.

• Korean Journal of Mathematics
• /
• v.6 no.2
• /
• pp.183-194
• /
• 1998

Making use of a certain operator of fractional derivative, a new subclass $L_p({\alpha},{\beta},{\gamma},{\lambda})$) of analytic and p-valent functions is introduced in the present paper. Apart from various coefficient bounds, many interesting and useful properties of this class of functions are given, some of these properties involve, for example, linear combinations and modified Hadamard product of several functions belonging to the class introduced here.