Add to ORKGNew monotonicity and convexity properties for the zeros cνk (k=1,2,...) of the Bessel functions are proved. New inequalities for cνk are also given. These inequalities are useful for small values of ν
Abstract In this paper, we introduce and study a generalization of the k-Bessel function of order ν ...
AbstractIt is proved that the positive zeros jν, k, k = 1,2,…, of the Bessel function Jν(x) of the f...
AbstractIn this paper, we extend some known elementary trigonometric inequalities, and their hyperbo...
New monotonicity and convexity properties for the zeros cνk (k=1,2,...) of the Bessel functions are...
New monotonicity and convexity properties for the zeros cνk (k=1,2,...) of the Bessel functions are...
AbstractLet jνk, yνk and cνk denote the kth positive zeros of the Bessel functions Jν(x), Yν(x) and ...
AbstractLet jvk and Cvk denote the kth positive zeros of the Bessel function Jv(x) of the first kind...
Abstract. Let j;1 be the smallest (first) positive zero of the Bessel function J(z), > −1, which...
AbstractLet cvk be the kth positive zero of the cylinder function Cv(x,α)=Jv(x) cos α−Yv sin α, 0⩽α<...
AbstractIt is proved that the positive zeros jν, k, k = 1,2,…, of the Bessel function Jν(x) of the f...
AbstractLet jvk and Cvk denote the kth positive zeros of the Bessel function Jv(x) of the first kind...
Let $I_{v}\left( x\right) $ be modified Bessel functions of the first kind. We prove the monotonic...
AbstractLet jνk, yνk and cνk denote the kth positive zeros of the Bessel functions Jν(x), Yν(x) and ...
A theorem of Lorch, Muldoon and Szegö states that the sequence {∫jα,kjα,k+1t−α|Jα(t)|dt}k=1∞ is decr...
AbstractLet cvk be the kth positive zero of the cylinder function Cv(x,α)=Jv(x) cos α−Yv sin α, 0⩽α<...
Abstract In this paper, we introduce and study a generalization of the k-Bessel function of order ν ...
AbstractIt is proved that the positive zeros jν, k, k = 1,2,…, of the Bessel function Jν(x) of the f...
AbstractIn this paper, we extend some known elementary trigonometric inequalities, and their hyperbo...
New monotonicity and convexity properties for the zeros cνk (k=1,2,...) of the Bessel functions are...
New monotonicity and convexity properties for the zeros cνk (k=1,2,...) of the Bessel functions are...
AbstractLet jνk, yνk and cνk denote the kth positive zeros of the Bessel functions Jν(x), Yν(x) and ...
AbstractLet jvk and Cvk denote the kth positive zeros of the Bessel function Jv(x) of the first kind...
Abstract. Let j;1 be the smallest (first) positive zero of the Bessel function J(z), > −1, which...
AbstractLet cvk be the kth positive zero of the cylinder function Cv(x,α)=Jv(x) cos α−Yv sin α, 0⩽α<...
AbstractIt is proved that the positive zeros jν, k, k = 1,2,…, of the Bessel function Jν(x) of the f...
AbstractLet jvk and Cvk denote the kth positive zeros of the Bessel function Jv(x) of the first kind...
Let $I_{v}\left( x\right) $ be modified Bessel functions of the first kind. We prove the monotonic...
AbstractLet jνk, yνk and cνk denote the kth positive zeros of the Bessel functions Jν(x), Yν(x) and ...
A theorem of Lorch, Muldoon and Szegö states that the sequence {∫jα,kjα,k+1t−α|Jα(t)|dt}k=1∞ is decr...
AbstractLet cvk be the kth positive zero of the cylinder function Cv(x,α)=Jv(x) cos α−Yv sin α, 0⩽α<...
Abstract In this paper, we introduce and study a generalization of the k-Bessel function of order ν ...
AbstractIt is proved that the positive zeros jν, k, k = 1,2,…, of the Bessel function Jν(x) of the f...
AbstractIn this paper, we extend some known elementary trigonometric inequalities, and their hyperbo...