# A Class of Nonlinear Integral Operators Preserving Double Subordinations

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We define here an integral operator HÎ³1,â€¦,Î³n for meromorphic functions in the punctured open unit disk. Several starlikeness conditions for the integral operator HÎ³1,â€¦,Î³n are derived.

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We consider some subclasses of meromorphic multivalent functions and obtain certain simple sufficiency criteria for the functions belonging to these classes. We also study the mapping properties of these classes under an integral operator.

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The Srivastava-Attiya operator is used here to define a new subclass of meromorphically multivalent functions in the punctured open unit disk Uo = {Z : 0< |z|< l}. For this new function class, several inclusion relationships are established. Some interesting corollaries and consequences of the...

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Let Î£ denote the class of analytic functions in the punctured unit disc u* = {z : 0 < |z| < 1}. Set Ï†Î»,lm,(z) = 1/z + Î£k=0âˆž [ l + Î»(k + 1)/l]mzk (m âˆˆ N0;l > 0; Î» â‰¥ 0; z âˆˆ u*), and define Ï† Î»,lm,Î¼) in terms of the Hadamard product by...

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We define new subclasses of p-valent meromorphic functions with complex order. We prove some properties for certain integral operators on these subclasses.

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The aim of the present paper is to obtain sufficient condition for the class of meromorphic p-valent alpha convex functions of order Î¾ and then to study mapping properties of the newly defined integral operators. Many known results appeared as special consequences of our work.

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New class Î£...(Î±,Î²,Î³) of univalent meromorphic functions defined by Ruscheweyh derivative in the punctured unit disk UÂª is introduced. We study several Hadamard product properties. Some results connected to inclusion relations, neighborhoods of the elements of class...

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We study some inclusion relationships and intergral-preserving properties for subclasses of the meromorphic multivalent function class âˆ‘p associated with a special linear operator.