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Differential subordination and superordination results for an operator associated with the generalized bessel functions
Generalized Bessel functions univalent functions Hadamard product subordination superordination
2012/4/23
We obtain many subordination and superordination results, using a new operator Bc ?f by means of the normalized form of the generalized Bessel functions of ?rst kind, which is defined as z [B^c_(\kapp...
Some asymptotics for the Bessel functions with an explicit error term
Bessel function Airy function asymptotic error term zeros
2011/9/1
Abstract: We show how one can obtain an asymptotic expression for some special functions satisfying a second order differential equation with a very explicit error term starting from appropriate upper...
Analytical Evaluation Of An Infinite Integral Over Four Spherical Bessel Functions
Analytical Evaluation Infinite Integral Four Spherical Bessel Functions
2011/3/1
Infinite integrals over spherical Bessel functions have always been of interest due to their occurence in nuclear physics [1-10], particle physics [11] and astrophysics [12-13],to mention a few.
Functional inequalities for modified Bessel functions
Functional inequalities Modified Bessel functions Convexity with respect to H¨older means
2010/12/13
In this paper our aim is to show some mean value inequalities for the modified Bessel functions of the first and second kinds. Our proofs are based on some bounds for the logarithmic derivatives of th...
Inequalities Involving Bessel Functions of the First Kind
Bessel functions of the first kind Inequalities Gegenbauer polynomials
2008/7/1
Inequalities Involving Bessel Functions of the First Kind.
Inequalities Involving Generalized Bessel Functions
Askey's inequality Grünbaum's inequality Bessel functions Gegenbauer polynomials
2008/7/1
Inequalities Involving Generalized Bessel Functions.
Redheffer Type Inequality for Bessel Functions
Bessel functions Modified Bessel functions Redheffer's inequality
2008/6/27
Redheffer Type Inequality for Bessel Functions.
Jordan-type Inequalities for Generalized Bessel Functions
Bessel functions modified Bessel functions Jordan's inequality
2010/1/22
In this note our aim is to present some Jordan-type inequalities for generalized Bessel functions in order to extend some recent results concerning generalized and sharp versions of the well-known Jor...