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Landen inequalities for Gaussian hypergeometric function
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021The paper contains several Landen inequalities, and quadratic and cubic transformation inequalities for the general Gaussian hypergeometric function \(_2F_1(a, b; c ;x)\). The authors present Landen inequalities and other Ramanujan's quadratic, cubic transformation inequalities for the Gaussian hypergeometric function \(F(a,b;c;r)\) which are ...
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Inequalities for the Gaussian hypergeometric function
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Monotonicity of three kinds of functions involving the Gaussian hypergeometric function
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Starlikeness of the Gaussian hypergeometric functions
Complex Variables and Elliptic Equations, 2010In this article, we derive conditions on the parameters a, b, c so that the function zF(a, b; c; z) is starlike in 𝔻, where F(a, b; c; z) denotes the classical hypergeometric function. We give some consequences of our results including some mapping properties of convolution operator.
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