Values of Gaussian hypergeometric series and their connections to algebraic curves
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DOI: 10.1142/s179304211850001x
Abstract: In this paper, we explicitly evaluate certain special values of 2F1 hypergeometric series. These evaluations are based on some summation transformation formulas of Gaussian hypergeometric series. We find expressions of the number of points on… read more here.
Keywords: values gaussian; series connections; series; algebraic curves ... See more keywords
Univalence Conditions for Gaussian Hypergeometric Function Involving Differential Inequalities
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DOI: 10.3390/sym13050904
Abstract: In their paper published in 1990, Miller and Mocanu have investigated the special function Gaussian hypergeometric function in view of its relation to the theory of analytic functions, stating conditions for this function to be… read more here.
Keywords: conditions gaussian; function involving; hypergeometric function; univalence conditions ... See more keywords
Inequalities for Gaussian hypergeometric functions
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DOI: 10.7153/jmi-11-03
Abstract: In this paper, we first shall present some inequalities for Gaussian hypergeometric functions, which generalize an identity involving the inverse hyperbolic tangent function. Further, the monotonicity of general hypergeometric function is proved. The obtained results… read more here.
Keywords: hypergeometric functions; inequalities gaussian; gaussian hypergeometric;