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On the Structure of Compatible Rational Functions
Compatibility conditions compatible rational functions hyperexponential function (q-)hypergeometric term
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2013/9/3
A finite number of rational functions are compatible if they satisfy the compatibility conditions of a first-order linear functional system involving differential, shift and q-shift operators. We pres...
The Radius of Starlikeness p-Valently Analytic Functions in the Unit Disc
p-valent analytic functions Radius of starlikeness Radius of convexity
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2010/2/26
In the present paper we shall give the radius of starlikeness for the classes of p-valent analytic functions in the unit disc D = { z | |z| < 1 }.
Differential Rational Normal Forms and a Reduction Algorithm for Hyperexponential Functions
Normal forms Rational functions Hyperexponential functions Reduction algorithms
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2013/9/3
We describe di®erential rational normal forms of a rational function and their properties. Based on these normal forms, we present an algorithm which, given a hyperexponential function T (x), con...
On d-I-Continuous Functions
d-I-cluster point R-I-open set d-I-continuous strongly q-I-continuous almost-I-continuous SI-R space AI-R space
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2010/2/26
In this paper, we introduce a new class of functions called d-I-continuous functions. We obtain several characterizations and some of their properties. Also, we investigate its relationship with other...
Arithmetic of a Semigroup of Series in Legendre Functions of the Second Kind
D. Kendall's Delphic semigroup infinitely divisible indecomposable Legendre functions
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2010/3/5
In the framework of D. Kendall's theory of Delphic semigroups, a semigroup of series in Legendre functions of the second kind is studied. The basic factorization theorems are prowed, the classes of in...
On a Certain Subclass of Analytic Functions with Negative Cefficients
Analytic univalent modified Hadamard product
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2010/3/4
The object of the present paper is to derive several interesting properties of the class Tn\lam consisting of analytic and univalent functions with negative coefficients. Coefficient inequalities, dis...