Akshaya Kumar Mishra

Kragujevac Journal of Mathematics is a periodical for mathematics. Requirements for acceptance of papers include originality, scientific significance and clarity of presentation.

In this paper we obtain subordination, superordination and sandwich results for multivalent meromorphic functions, involving the iterations of the Cho-Kwon-Srivastava operator and its combinations. Certain interesting particular cases are also pointed out.

Let H be a complex Hilbert space and let A be a bounded linear transformation on H. For a complex-valued function f, which is analytic in a domain D of the complex plane containing the spectrum of A, let f (A) denote the operator on H defined by means of the Riesz-Dunford integral. In the present paper, several (presumably new) versions of Pick’s theorems are proved for f (A), where A is a dissipative operator (or a proper contraction) and f is a suitable analytic function in the domain D.

By making use of a multivalent analogue of the Owa-Srivastava fractional differintegral operator and its iterations, certain new families of analytic functions are introduced. Several interesting properties of these function classes, such as convolution theorems, inclusion theorems, and class-preserving transforms, are studied.

In this paper a new class of analytic functions, associated with the Carlson-Shaffer operator, is investigated. The sharp estimate for the Second Hankel determinant and class preserving transforms are studied.

In this paper, by making use of a generalization of the Srivastava–Attiya operator, a new class of multivalent analytic functions is introduced and investigated. Under suitable constraints on relevant parameters, a result on the invariance of this class under a related integral operator is obtained; which, furthermore, yields an inclusion theorem. Sharp results on the converse problem are also presented.

Let 𝒜 _p denote the class of functions analytic in the open unit disc 𝒰 = {z ∈ ℂ : |z| < 1} and given by the series For f ∈ 𝒜 _p , let A function f ∈ 𝒜 _p is in the class if is satisfied, where ≺ stands for subordination. The main result of this article is the invariance of the class under the operator when μ varies. Other results include Strohäcker–Marx-like inequalities involving the operator .

By making use of the fractional differential operator due to Owa and Srivastava, a class of analytic functions ℛ_λ(α, ρ) (0 ≤ ρ ≤ 1, 0 ≤ λ < 1, |α| < π/2) is introduced. The sharp bound for the nonlinear functional is found. Several basic properties such as inclusion, subordination, integral transform, Hadamard product are also studied.