Relationship between Path and Series Representations for the Three Basic Univalent G-functions
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 6, Issue 1
Abstract
In this paper we demonstrate how series representation for the three basic univalent G-functions, namely G1;00;2; G1;11;2 and G1;11;1, can be obtained from their Mellin-Barnes path integral representations.In two special cases, images of third basic univalent G-function, G1;1,1;1 are derived by the Biernacki and Libera operators.
Authors and Affiliations
Amir Pishkoo
Keywords
Related Articles
- EP ID EP651379
- DOI 10.24297/jam.v6i1.3640
- Views 142
- Downloads 0
PROPERTIES OF FUZZY DITANCE ON FUZZY SET
In this paper we introduce the definition of fuzzy distance space on fuzzy set then we study and discuss several properties of this space after some illustrative examples are given . Furthermore we introduce the de...
A Note on the Perron Value of Brualdi-Li Matrices
Let $B_{2n}$ denote the Brualdi-Li matrix, and let $\rho_{2n}=\rho(B_{2n})$ denote the  Perron value of the  Brualdi-Li matrix of order $2n$. We prove that is  monotonically decreasing for all
Consistency of least squares estimators of AR(2) Model
In this paper, ordinary least squares (OLS) method will be used to estimate the parameters of the auto-regressive model without constant of order two. Moreover, the convergence in probability (the consistency property) o...
A Simulation Comparison of Bootstrap Procedures in Periodically Correlated Time Series Models
The presence of periodicity in data with periodic structure has become an important issue in parameter estimation. Several methods have been studied with intention estimating different parameters or constructing confiden...
The Best Approximation by Using Bernstein's Polynomial in Lp [0,1]
We estimate in this paper the degree of approximation of [0,1]by using Bernstein's polynomial involving on Ditizian-Totik modulus of smoothness . On the other hand, we consider this polynomial to obtain an equ...