Results 31 to 40 of about 3,001,317 (197)
Representation of Some Ratios of Horn’s Hypergeometric Functions H7 by Continued Fractions
Axioms, 2023 The paper deals with the problem of representation of Horn’s hypergeometric functions via continued fractions and branched continued fractions. We construct the formal continued fraction expansions for three ratios of Horn’s hypergeometric functions H7 ...
Tamara Antonova +3 more
doaj +1 more source
Quadratic transformation inequalities for Gaussian hypergeometric function [PDF]
Journal of Inequalities and Applications, 2018 In the article, we present several quadratic transformation inequalities for Gaussian hypergeometric function and find the analogs of duplication inequalities for the generalized Grötzsch ring function.
Tie-Hong Zhao +3 more
openaire +3 more sources
Distribution of values of Gaussian hypergeometric functions
Pure and Applied Mathematics Quarterly, 2023 In the 1980's, Greene defined {\it hypergeometric functions over finite fields} using Jacobi sums. The framework of his theory establishes that these functions possess many properties that are analogous to those of the classical hypergeometric series studied by Gauss and Kummer.
Ono, Ken, Saad, Hasan, Saikia, Neelam
openaire +2 more sources
Inequalities of extended beta and extended hypergeometric functions
Journal of Inequalities and Applications, 2017 We study the log-convexity of the extended beta functions. As a consequence, we establish Turán-type inequalities. The monotonicity, log-convexity, log-concavity of extended hypergeometric functions are deduced by using the inequalities on extended beta ...
Saiful R. Mondal
doaj +1 more source
Axioms, 2023 Sanford S. Miller and Petru T. Mocanu’s theory of second-order differential subordinations was extended for the case of third-order differential subordinations by José A. Antonino and Sanford S. Miller in 2011.
Georgia Irina Oros +2 more
doaj +1 more source
Axioms, 2023 The paper deals with the problem of representation of Horn’s hypergeometric functions by branched continued fractions. The formal branched continued fraction expansions for three different Horn’s hypergeometric function H4 ratios are constructed.
Tamara Antonova +3 more
doaj +1 more source
Bernoulli inequality and hypergeometric functions [PDF]
, 2022 Bernoulli type inequalities for functions of logarithmic type are given. These functions include, in particular, Gaussian hypergeometric functions in the zero-balanced case F(a, b; a + b; x).
Vesna Manojlović +3 more
core +2 more sources
Applications of Subordination Chains and Fractional Integral in Fuzzy Differential Subordinations
Mathematics, 2022 Fuzzy differential subordination theory represents a generalization of the classical concept of differential subordination which emerged in the recent years as a result of embedding the concept of fuzzy set into geometric function theory.
Georgia Irina Oros, Simona Dzitac
doaj +1 more source
Polynomial series expansions for confluent and Gaussian hypergeometric functions [PDF]
Mathematics of Computation, 2005 Based on the Hadamard product of power series, polynomial series expansions for confluent hypergeometric functions M ( a ,
Wolfgang Luh +3 more
openaire +1 more source
Monotonicity properties of Gaussian hypergeometric functions with respect to the parameter
Mathematical Inequalities & Applications, 2022 The authors establish the necessary and sufficient conditions under which certain combinations of Gaussian hypergeometric function and elementary function are monotone in the parameter, which generalize the recent results of generalized elliptic integrals of the first and second kinds obtained by Qiu et al.
Bao, Qi, Wang, Miao-Kun, Qiu, Song-Liang
openaire +2 more sources