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Theory and Applications of Fractional Differential Equations
1. Preliminaries. 2. Fractional Integrals and Fractional Derivatives. 3. Ordinary Fractional Differential Equations. Existence and Uniqueness Theorems. 4. Methods for Explicitly solving FractionalExpand
Classes of analytic functions associated with the generalized hypergeometric function
Using the generalized hypergeometric function, we introduce and study a class of analytic functions with negative coefficients. Expand
A Linear Operator and Associated Families of Meromorphically Multivalent Functions
Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), the authors introduce (and investigate the various properties and characteristics of) twoExpand
A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials
The polynomial sets {Y"(x; k)} and { Z"(x; &)}, discussed by Joseph D. E. Konhauser, are biorthogonal over the interval (0, oo) with respect to the weight function x a e~ x , where a > — 1 and A: isExpand
An integral operator associated with the Hurwitz–Lerch Zeta function and differential subordination
The main object of this article is to introduce and investigate an integral operator J s, b (f) defined, by using the Hurwitz–Lerch Zeta function, on the various subclasses of the class of normalizedExpand