7 research outputs found
Majorization for certain classes of meromorphic functions associated with a family of integral operator
On a Certain Subclass of Meromorphic Functions Defined by a New Linear Differential Operator
In this article, a new linear differential operator I^k (L_s^a (a_l,b_m )f(z)) is defined by using the Hadamard product of the q-hypergeometric function and a function related to the Hurwitz-Lerch zeta function. By using this linear differential operator, a new subclass L_(s,a)^(k,*) (α_l,β_m;A,B,b) of meromorphic functions is defined. Some properties and characteristics of this subclass are considered. These include the coefficient inequalities, the growth and distortion properties and the radii of meromorphic starlikeness and meromorphic convexity. Finally, closure theorems and extreme points are introduced
Study of Second Hankel Determinant for Certain Subclasses of Functions Defined by Al-Oboudi Differential Operator
هذا البحث يهتم في حساب الحد الأعلى من محدد هانكل الثاني لمجموعة من الدوال المعرفة بالمؤثر التفاضلي للعبودي المعرف على القرص الأحادي. لدراسة الحالات الخاصة من نتائج هذا البحث، اعطى الباحثين قيم خاصة للمؤثرات المعرفة ك A، B وλ.The concern of this article is the calculation of an upper bound of second Hankel determinant for the subclasses of functions defined by Al-Oboudi differential operator in the unit disc. To study special cases of the results of this article, we give particular values to the parameters A, B and
Third Hankel determinant for a subclass of analytic functions of reciprocal order defined by Srivastava-Attiya integral operator
The aim of this paper is to investigate coefficient estimates,
Fekete-Szeg˝o inequality, and upper bound of third Hankel determinant
for a subclass of analytic functions of reciprocal order defined
by Srivastava-Attiya integral operator
