251 citations · 827 across the 103 of their papers we have counts for
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On exterior moduli of quadrilaterals and special functions
Matti Vuorinen, Xiaohui Zhang
In this paper two identities involving a function defined by the complete elliptic integrals of the first and second kinds are proved. Some functional inequalities and elementary e…
Landen inequalities for zero-balanced hypergeometric functions
Slavko Simić, Matti Vuorinen
For zero-balanced Gaussian hypergeometric functions we determine maximal regions of plane where well-known Landen identities for the complete ellipti…
Bernoulli inequality and hypergeometric functions
Riku Klén, Vesna Manojlović, Slavko Simić +1
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;…
On quotients and differences of hypergeometric functions
Slavko Simić, Matti Vuorinen
For Gaussian hypergeometric functions we consider the quotient and the difference for $0<x,…
Inequalities for eigenfunctions of the -Laplacian
Barkat Ali Bhayo, Matti Vuorinen
Motivated by the work of P. Lindqvist, we study eigenfunctions of the one-dimensional -Laplace operator, the functions, and prove several inequalities for these and …