Computational Methods and Function Theory 5 (2005), No. 2, 373--379
Copyright Heldermann Verlag 2005
Árpád Baricz
bariczocsi@yahoo.com , Faculty of Mathematics and Computer Science, Babes-Bolyai University, Str. M. Kogu alniceanu 1, RO-400084 Cluj-Napoca, Romania.
Let $u_p(x)$ be the generalized and normalized Bessel function depending on parameters $b,c,p$ and let $\lambda(r)=u_p(r^2),$ $r\in(0,1)$. Motivated by an open problem of Anderson, Vamanamurthy and Vuorinen, we prove that the Landen-type inequality $\lambda(2\sqrt{r}/(1+r))
Keywords: Landen inequality, hypergeometric functions, Bessel functions, Kummer functions.
MSC 2000: 33C05, 33C10, 33C15,
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