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A new class of meromorphically multivalent functions with applications to generalized hypergeometric functions
TLDR
In the present paper we introduce a new class of meromorphically multivalent functions, which is defined by means of a Hadamard product (or convolution) involving some suitably normalized meromorphic p-valent functions. Expand
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INCLUSION AND NEIGHBORHOOD PROPERTIES OF SOME ANALYTIC AND MULTIVALENT FUNCTIONS
By means of a certain extended derivative operator of Ruscheweyh type, the authors introduce and investigate two new subclasses of p-valently analytic functions of complex order. The various resultsExpand
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ON GENERALIZED WRIGHT'S HYPERGEOMETRIC FUNCTIONS AND FRACTIONAL CALCULUS OPERATORS
In the present paper we first establish some basic re- sults for a substantially more general class of functions defined below. The results include simple differentiation and fractional calculusExpand
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A certain subclass of analytic functions associated with operators of fractional calculus
Abstract In the present paper, we introduce a new class of functions, defined by using certain fractional calculus operators, which are analytic in the open unit disk. A necessary and sufficientExpand
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Some properties of a new class of analytic functions defined in terms of a Hadamard product.
In this paper we introduce a new class H(φ, α, β) of analytic functions which is defined by means of a Hadamard product (or convolution) of two suitably normalized analytic functions. SeveralExpand
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The starlikeness and convexity of multivalent functions involving certain inequalities
In the present paper, a theorem for the starlikeness and convexity of multivalent functions involving certain inequalities is given. Some interesting consequences of the main result are alsoExpand
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A new family of functional series relations involving digamma functions
The purpose of the present investigation is to obtain certain new families of functional series relations involving the digamma functions. Several types of summation formulae are deducible from theExpand
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Evaluation of a certain class of Eulerian integrals
In a study of the screening properties of a charged impurity located inside and near the surface of a metal subjected to a magnetic field, there arose an interesting class of Eulerian integrals,Expand
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On certain classes of analytic functions and applications to fractional calculus operators
The objective of this paper is to present several results in theory of analytic functions (which are univalent, starlike- or prestarlike- and convex) by associating certain fractional calculusExpand
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Generalized q-Taylor's series and applications 1
A generalized q-Taylor’s formula in fractional q-calculus is established and used in deriving certain q-generating functions for the basic hypergeometric functions and basic Fox’s H-function.
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