ALGEBRAIC FUNCTIONS IN TERMS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS
, 2018 The aim of this thesis is to describe the solutions of a given general trinomialalgebraic equation satisfying some special conditions by means of generalized hypergeometricfunctions.Including the introduction, this dissertation consists of five chapters. Inthe first chapter, the gamma function and the beta function are introduced.
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Results Involving Generalized Hypergeometric Functions
, 2008 A fairly wide variety of special functions can be represented in terms of generalized hypergeometric series. Hypergeometric series in one and more variables occur naturally in many problems of applied mathematics, statistics, operations research ...
Galue, Leda
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The generalized Zwegers' $\mu$-function and transformation formulas for the bilateral basic hypergeometric series [PDF]
By applying Slater's transformation formulas for the bilateral basic hypergeometric series ${}_2\psi_{2}$, we derive three type translation formulas for the generalized Zwegers' $\mu$-function (``continuous $q$-Hermite function'') which was introduced by
Shibukawa, Genki, Tsuchimi, Satoshi
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Marichev-Saigo-Maeda fractional integration operators of the Bassel functions
Le Matematiche, 2012 In this paper, we apply generalized operators of fractional integration involving Appell’s function F_3 (.) due to Marichev-Saigo-Maeda, to the Bessel function of first kind.
Sunil D. Purohit +2 more
doaj
On Analytical Extension of Generalized Hypergeometric Function 3F2
The paper considers the generalized hypergeometric function F23, which is important in various fields of mathematics, physics, and economics.
Roman Dmytryshyn, Volodymyra Oleksyn
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A small-angle scattering model for broad correlation peaks and small diffuse scattering. [PDF]
J Appl CrystallogrFrielinghaus H.
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Transformations and Summations for Bilateral Basic Hypergeometric Series. [PDF]
Arab J MathCohl HS, Schlosser MJ.
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Modeling small-angle scattering data of porous and/or bicontinuous structures in <i>n</i> dimensions. [PDF]
J Appl CrystallogrFrielinghaus H.
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Inequality measures of the generalized gamma distribution with a practicable application tool. [PDF]
PLoS OneAltun E, Gezer F, Alqifari HN.
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A NOTE ON NATURAL TRANSFORMATION OF MORE GENERALIZED HYPERGEOMETRIC FUNCTION
The objective of this paper is to investigate natural transform of the more generalized Hypergeometric function (R –function & S- Function ) introduced by Hartley and Lorenzo [4] in which Riemann–Liouville integrals are replaced by more general ...
IEJRD
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