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Heun's equation, generalized hypergeometric function and exceptional Jacobi polynomial
Heun's equation generalized hypergeometric function exceptional Jacobi polynomial
2011/7/27
Abstract: We study Heun's differential equation in the case that one of the singularities is apparent. In particular we conjecture a relationship with generalized hypergeometric differential equation ...
On Certain Subclasses of Meromorphically Multivalent Functions Associated with the Generalized Hypergeometric Function
Meromorphic function $p$-valent Subordination Hypergeometric function Hadamard product
2010/1/22
In the present paper, we investigate several inclusion relationships and other interesting properties of certain subclasses of meromorphically multivalent functions which are defined here by means of ...
Some Results Associated With Fractional Calculus Operators Involving Appell Hypergeometric Function
Analytic functions Hardy space Fractional derivatives and fractional integrals Appell hypergeometric function Inclusion relation
2010/1/22
A class of fractional derivative operators (with the Appell hypergeometric function in the kernel) is used here to define a new subclass of analytic functions and a coefficient bound inequality is est...
On Subordinations for Certain Multivalent Analytic Functions Associated with the Generalized Hypergeometric Function
Analytic functions The generalized hypergeometric function Differential subordination Univalent functions Hadamard product (or convolution)
2008/6/27
On Subordinations for Certain Multivalent Analytic Functions Associated with the Generalized Hypergeometric Function.