Univalent functions, fractional calculus, and their applications , edited by H. M. Srivastava and S. Owa. Pp 404. £39·95. 1989. ISBN 0-7458-0701-1 (Ellis Horwood)

/pdf/hankel-determinant-for-a-class-of-analytic-functions-473o4nplqp.pdf

Hankel determinant for a class of analytic functions involving a generalized linear differential operator

In the z- domain, differential subordination is a complex technique of geometric function theory based on the idea of differential inequality. It has formulas in terms of the first, second and third derivatives. In this study, we introduce some applications of the third-order differential subordination for a newly defined linear operator that includes ξ -Generalized-Hurwitz–Lerch Zeta functions (GHLZF). These outcomes are derived by investigating the appropriate classes of admissible functions.

https://www.mdpi.com/2227-7390/8/5/845/pdf

On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz–Lerch Zeta Functions

M. ALBEHBAH AND M. DARUS Abstract. In this paper, we introduce a new class ∑∗ p(A,B, k)a,c for −1 6 B < A 6 1 which consists of hypergeometric meromorphic functions of the form Lp(a, c)f(z) = 1 zp + ∑∞ n=0 (a)n+2 (c)n+2 an+pz n+p in U∗ = {z : 0 < |z| < 1}. We determine sufficient conditions, distortion properties, radii of starlikeness and convexity and inclusion properties for the class Lp(a, c)f(z).

/pdf/new-subclass-of-multivalent-hypergeometric-meromorphic-4hadkcrwtr.pdf

New subclass of multivalent hypergeometric meromorphic functions

In the present paper, we investigate a majorization problem for the class $% M_{\alpha, \beta }^{\nu, j}(\eta, \varkappa; A, B)$ of meromorphic functions and the class $N_{\alpha, \beta }^{\nu, j}(\theta, b;A, B)$ of meromorphic spirllike functions related with a convolution operator. We extend the results existing in literature for higher order derivative. Several consequences of the main results in the form of corollaries are also pointed out.

Majorization problem for two subclasses of meromorphic functions associated with a convolution operator

Some Geometric Properties of Integral Operators Proposed by Hurwitz-Lerch Zeta Function

In the present paper, we study the class of analytic functions involving generalized Cho-Kwon-Srivastava operator denoted by I �,µ,s (a,c)f(z) with negative coefficients. The aim of the paper is to obtain the coefficient estimates and also partial sums of its sequence I �,µ,s n (a,c)f(z).

/pdf/partial-sums-of-analytic-functions-involving-generalized-cho-1st8gfnwe7.pdf

Partial Sums of Analytic Functions Involving Generalized Cho-Kwon-Srivastava Operator

We introduce new classes of meromorphic multivalent quasi-convex functions and nd some sucient dierential subordination theorems for such classes in punctured unit disk with applications in fractional calculus.

/pdf/differential-subordination-for-meromorphic-multivalent-quasi-2y8q16akux.pdf

Differential subordination for meromorphic multivalent quasi-convex functions

Due to some familiar differential operators, we introduce here a generalized differential operator. By means of this operator, we define and investigate two new subclasses. We obtain the coefficient estimates and further study the neighborhood results.

/pdf/neighborhoods-of-certain-classes-of-analytic-functions-2jxtzfbavl.pdf

Neighborhoods of certain classes of analytic functions defined by a generalized differential operator

is found. By using convolution method of geometric function, Cesmeans of order ��, �� ≥ 0 retain the zero free property of the derivatives of bounded convex functions in the unit disk. Other properties are also established.

On Ces´ aro Means of Order for Outer Functions

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